Sezgisel Bulanık Normlu Uzaylarda Sezgisel f ve ψ Bulanık Daralma Dönüşüm Sınıfları için Yaklaşık Sabit Nokta Özelliği

Lale Cona; Gizem Güzel Tan

Araştırma Makalesi

Approximate Fixed Point Property for f and ψ Fuzyy Contraction Classes in Intuitionistic Fuzzy Normed Spaces

Yıl 2024, Cilt: 24 Sayı: 05, 1102 - 1112

Öz

In this paper, new definitions for intuitionistic fuzzy normed spaces of f and ψ contraction map classes in classical analysis will be given. In addition, it will be shown under which conditions these transformations provide the approximate fixed point property in intuitionistic fuzzy normed spaces. The results obtained will be supported with examples.

Anahtar Kelimeler

Fuzzy metric space, Fuzzy normed space, Intuitionistic fuzzy metric space, Intuitionistic fuzzy normed space, Approximate fixed point

Kaynakça

Abu Osman, M.T., 1983. Fuzzy metric spaces and fixed fuzzy set theorem, Bull. Malays. Math. Sci. Soc., 6(1), 1-4.
Abbas, M., Imdad, M. and Gopal, D., 2011. ψ-Weak contractions in fuzzy metric spaces. Iran. J. Fuzzy Syst., 8, 141-148.
Alaca, C., Turkoglu, D. and Yildiz, C. 2006. Fixed points in intuitionistic fuzzy metric spaces. Chaos, Solitons & Fractals, 29(5), 1073-1078 https://doi.org/10.1016/j.chaos.2005.08.066
Anoop, S. and Ravindran, K., 2011. On approximate fixed point property and fixed points. International Mathematical Forum, 6, pp. 281-288.
Atanassov, K., 1986. Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20 (1): 87 – 96. https://doi.org/10.1016/S0165-0114(86)80034-3
Atanassov K., 1994. New operations defined over the intuitionistic fuzzy sets. Fuzzy Sets and Systems, 61, 137–142. https://doi.org/10.1016/0165-0114(94)90229-1
Banach., S., 1922. Sur les opérations dans les ensembles abstraits et leur applications aux equations intégrales. Fund. Math, 3: 49. https://doi.org/10.4064/fm-3-1-133-181
Berinde, M., 2006. Approximate fixed point theorems. Studia Univ. “Babeş-Bolyai” Mathematica, LI (1), 11-15.
Berinde, V., 2007. Iterative Approximation of Fixed Points: Springer, Berlin. https://doi.org/10.1109/SYNASC.2007.49
Beiranvand, A., Moradi, S., Omid, M. and Pazandeh. H., 2009. Two fixed-point theorems for special mappings., arXiv:0903.1504v1. math.FA.
Chang, C. L., 1968. Fuzzy topological spaces. Journal of Mathematical Analysis and Applications, 24, 182-190. https://doi.org/10.1016/0022-247X(68)90057-7
Cho, Y. J., Rassias, T. M. and Saadati, R., 2018. Generalized distances and fixed point theorems in fuzzy metric spaces. In Fuzzy Operator Theory in Mathematical Analysis. Springer, Cham., 155-176. https://doi.org/10.1007/978-3-319-93501-0_6
Cona, L., 2023. Approximate fixed point property for intuitionistic fuzzy R-Contractıon map in intuitionistic fuzzy normed spaces. Explorations in Mathematical Analysis: A Collection of Diverse Papers, Prof. Dr. İlker Eryılmaz (Editor), Bidge Publications, 298-316.
Dey, D. and Saha, M., 2013. Approximate fixed point of reich operator. Acta Math. Univ. Comenianae, 82,119‐123.
Dey, D., Laha, A. K. and Saha, M., 2013. Approximate coincidence point of two nonlinear mappings. Journal of Mathematics, Vol 2013, Article ID 962058, 1-4. https://doi.org/10.1155/2013/962058
Di Bari, C. and Vetro, C., 2005. Fixed points, attractors and weak fuzzy contractive mappings in a fuzzy metric space. J. Fuzzy Math., 13, 973-982.
Dinda, B. ve Samanta, T., 2010. Intuitionistic fuzzy continuity and uniform convergence. Int. J. Open Problems Compt. Math, 3(1), 8-26.
El Naschie, M. S., 1998. On the uncertainty of cantorian geometry and two-slit experiment. Chaos, Solitons & Fractals, 9, 517–29. https://doi.org/10.1016/S0960-0779(97)00150-1
El Naschie, M.S., 2000. On the verifications of heterotic strings theory and E(oo) theory. Chaos, Solitons & Fractals, 11, 2397–407. https://doi.org/10.1016/S0960-0779(00)00108-9
El Naschie, M.S., 2005. On a fuzzy Khaler-Like manifold which is consistent with two slit experiment, Int. J. Nonlinear Sciences and Numerical Simulation, 6, 95-98. https://doi.org/10.1515/IJNSNS.2005.6.2.95
Ertürk, M., Karakaya, V., 2013. Correction: n‐tuplet fixed point theorems for contractive type mappings in partially ordered metric spaces. Journal of Inequalities and Applications, 2013: 196. https://doi.org/10.1186/1029-242X-2013-196
Ertürk, M., Karakaya, V., 2014. n-tuplet coincidence point theorems in intuitionistic fuzzy normed spaces. Jour. Function Spaces Appl., Volume 2014, Article number 821342, pp. 1-14. https://doi.org/10.1155/2014/821342
Ertürk, M., Karakaya, V. and Mursaleen, M., 2022. Approximate fixed Point property in Ifns. TWMS Journal of Applied and Engineering Mathematics, 12(1), 329-346.
George, A., Veermani, P. 1997. On some results of analysis for fuzzy metric spaces. Fuzzy Sets and Systems, 90(3), 365-368. https://doi.org/10.1016/S0165-0114(96)00207-2 Grabiec, M., 1988. Fixed points in fuzzy metric spaces. Fuzzy Sets and Systems, 27, 385-389. https://doi.org/10.1016/0165-0114(88)90064-4
Gregori, V. and Romaguera S., 2000. Some properties of fuzzy metric spaces. Fuzzy Sets and Systems, 115, 485- 489. https://doi.org/10.1016/S0165-0114(98)00281-4
Gregori, V. and Sapena, A., 2002. On fixed-point theorems in fuzzy metric spaces. Fuzzy Sets and Systems, 125, 245-252. https://doi.org/10.1016/S0165-0114(00)00088-9
Gregori V. and Romaguera, S., 2004. Charancterizing completable fuzzy metric spaces. Fuzzy Sets and Systems, 144, 411-420. https://doi.org/10.1016/S0165-0114(03)00161-1
Gregori, V., Min ̃ana, J.J., Morillas, S. and Sapena, A., 2016. Characterizing a class of compltable fuzzy metric spaces. Topology and its Applications, 203, 3-11. https://doi.org/10.1016/j.topol.2015.12.070
Gregori, V. and Min ̃ana, J.J., 2016. On Fuzzy ψ-Contractive Sequences and Fixed Point Theorems. Fuzzy Sets Syst., 300, 93–101. https://doi.org/10.1016/j.fss.2015.12.010
Gregori, V., Min ̃ana J.J., Roig B. and Sapena, 2024. On completeness and fixed point theorems in fuzzy metric spaces. Mathematics, 12(2), 287. https://doi.org/10.3390/math12020287
Hadzic O., Pap, E., 2002. A fixed point theorem for multivalued mapping inpropbalitistic metric spaces and an application in fuzzy metric spaces. Fuzzy Sets and Systems, 127, 333-344. https://doi.org/10.1016/S0165-0114(01)00144-0
Karakaya, V., Şimşek, N., Ertürk, M. and Gürsoy, F., 2012. Statistical convergence of sequences of functions in intuitionistic fuzzy normed spaces. Abstract and Applied Analysis, Vol. 2012, Issue 2012, 1‐19. https://doi.org/10.1155/2012/157467
Kramosil, O., Michalek, J., 1975. Fuzzy metric and statistical metric spaces. Kybernetica, 11, 326-334.
Mahmood, Q., Shoaib, A., Rasham, T. and Arshad, M., 2019. Fixed point results for the family of multivalued F-contractive mappings on closed ball in complete dislocated b-metric spaces. Mathematics, 7(1), 56. https://doi.org/10.3390/math7010056
Matouskova, E. and Reich, S., 2003. Reexivity and approximate fixed points. Studia Math., 159, 403-415. https://doi.org/10.4064/sm159-3-5
Mihet, D., 2004. A Banach contraction theorem in fuzzy metric spaces. Fuzzy Sets and Systems, 144, 431–439. https://doi.org/10.1016/S0165-0114(03)00305-1
Mihet, D., 2008. Fuzzy φ-contractive mappings in non-Archimedean fuzzy metric spaces. Fuzzy Sets and Systems, 159, 739-744. https://doi.org/10.1016/j.fss.2007.07.006
Mursaleen, M. and Mohiuddine, S., 2009. Nonlinear operators between intuitionistic fuzzy normed spaces and Frechet derivative. Chaos, Solitons & Fractals, 42(2), 1010-1015. https://doi.org/10.1016/j.chaos.2009.02.041
Mursaleen, M., Lohani, Q.M.D. and Mohiuddine, S.A., 2009. Intuitionistic fuzzy 2-Metric space and its completion. Chaos Solitons Fractals, 42(2), 1258-1265. https://doi.org/10.1016/j.chaos.2009.03.025
Mursaleen, M., Karakaya, V. and Mohiuddine, S. A., 2010. Schauder basis, separability, and approximation property in intuitionistic fuzzy normed space. Abstr. Appl. Anal., Vol 2010, Article ID 131868, 1-14. https://doi.org/10.1155/2010/131868
Pacurar, M. and Pacurar, R.V., 2007. Approximate fixed point theorems for weak contractions on metric spaces. Carpathian Journal of Mathematics, 23, 149‐155.
Park, J.H., 2004. Intuitionistic fuzzy metric spaces, Chaos, Solitons & Fractals, 22, 1039‐1046. https://doi.org/10.1016/j.chaos.2004.02.051
Radu, V., 2002. Some remarks on the probabilistic contractions on fuzzy Menger spaces. Automat.Comput.Appl.Math., 11(2002)125131.
Saadati, R. and Vaezpour, S.M., 2005. Some results on fuzzy Banach spaces. J. Appl. Math. & Computing, 17, No.1-2, 475-484. https://doi.org/10.1007/BF02936069
Saadati, R. and Park, J. H., 2006. On the intuitionistic fuzzy topological spaces. Chaos Solitons Fractals, 27(2), 331-344. https://doi.org/10.1016/j.chaos.2005.03.019
Sangurlu Sezen, M and Turkoglu, D. 2017. Some fixed point theorems of (F,ϕ)- fuzzy contractıons in fuzzy metric spaces. Journal of Inequalities and Special Functions, 4(2017), 10-20.
Sedghi, S., Shobkolaei, N., Došenović, T. and Radenović, S., 2018. Suzuki-type of common fixed point theorems in fuzzy metric spaces. Mathematica Slovaca, 68(2), 451-462. https://doi.org/10.1515/ms-2017-0115
Schwiezer, B. and Sklar, A., 1960. Statistical metric spaces. Pacific Journal of Mathematics, 10, 314-334. https://doi.org/10.2140/pjm.1960.10.313
Sola Erduran, F., Yildiz, C. and Kutukcu, S. 2014. A common fixed point theorem in weak nonArchimedean intuitionistic fuzzy metric spaces. International Journal of Open Compt. Math., 7, 1-15. https://doi.org/10.12816/0007248
Sola Erduran, F., 2020. Sabit fuzzy nokta teoremleri, Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 10 (3), 641-650. https://doi.org/10.17714/gumusfenbil.621967
Tiwari, V. and Som, T., 2019. Fixed points for (ϕ, ψ)-contractions in Menger probabilistic metric spaces. In Advances in Mathematical Methods and High Performance Computing. Springer, Cham.,3, 201-208. https://doi.org/10.1007/978-3-030-02487-1_12
Turkoglu, D., Alaca, C., Cho, Y. J. and Yildiz, C. 2006. Common fixed point theorems in intuitionistic fuzzy metric spaces. Journal of Applied Mathematics and Computing, 22, 411-424. https://doi.org/10.1007/BF02896489
Zadeh, L. A., 1965. Fuzzy sets, Information and Control, 8, 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X
Wang, G., Zhu, C. and Wu, Z., 2019. Some new coupled fixed point theorems in partially ordered complete Menger probabilistic G-metric spaces. Journal of Computational Analysis & Applications, 26, 326.
Wardowski, D., 2013. Fuzzy contractive mappings and fixed Points in fuzzy metric spaces, Fuzzy Sets Syst., 222, 108-114. https://doi.org/10.1016/j.fss.2013.01.012

Sezgisel Bulanık Normlu Uzaylarda Sezgisel f ve ψ Bulanık Daralma Dönüşüm Sınıfları için Yaklaşık Sabit Nokta Özelliği

Yıl 2024, Cilt: 24 Sayı: 05, 1102 - 1112

Lale Cona , Gizem Güzel Tan

Öz

Bu çalışmada, klasik analizde ve bulanık metrik uzaylarda tanımlı f ve ψ daralma dönüşüm sınıflarının sezgisel bulanık normlu uzaylar için yeni versiyonları tanımlanacaktır. Ayrıca, bu dönüşümlerin sezgisel bulanık normlu uzaylarda hangi şartlar altında yaklaşık sabit nokta özelliğini sağladığı gösterilecektir. Bulunan sonuç örneklerle desteklenecektir.

Anahtar Kelimeler

Bulanık metrik uzay, Bulanık normlu uzay, Sezgisel bulanık metrik uzay, Sezgisel bulanık normlu uzay, Yaklaşık sabit nokta

Kaynakça

Abu Osman, M.T., 1983. Fuzzy metric spaces and fixed fuzzy set theorem, Bull. Malays. Math. Sci. Soc., 6(1), 1-4.
Abbas, M., Imdad, M. and Gopal, D., 2011. ψ-Weak contractions in fuzzy metric spaces. Iran. J. Fuzzy Syst., 8, 141-148.
Alaca, C., Turkoglu, D. and Yildiz, C. 2006. Fixed points in intuitionistic fuzzy metric spaces. Chaos, Solitons & Fractals, 29(5), 1073-1078 https://doi.org/10.1016/j.chaos.2005.08.066
Anoop, S. and Ravindran, K., 2011. On approximate fixed point property and fixed points. International Mathematical Forum, 6, pp. 281-288.
Atanassov, K., 1986. Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20 (1): 87 – 96. https://doi.org/10.1016/S0165-0114(86)80034-3
Atanassov K., 1994. New operations defined over the intuitionistic fuzzy sets. Fuzzy Sets and Systems, 61, 137–142. https://doi.org/10.1016/0165-0114(94)90229-1
Banach., S., 1922. Sur les opérations dans les ensembles abstraits et leur applications aux equations intégrales. Fund. Math, 3: 49. https://doi.org/10.4064/fm-3-1-133-181
Berinde, M., 2006. Approximate fixed point theorems. Studia Univ. “Babeş-Bolyai” Mathematica, LI (1), 11-15.
Berinde, V., 2007. Iterative Approximation of Fixed Points: Springer, Berlin. https://doi.org/10.1109/SYNASC.2007.49
Beiranvand, A., Moradi, S., Omid, M. and Pazandeh. H., 2009. Two fixed-point theorems for special mappings., arXiv:0903.1504v1. math.FA.
Chang, C. L., 1968. Fuzzy topological spaces. Journal of Mathematical Analysis and Applications, 24, 182-190. https://doi.org/10.1016/0022-247X(68)90057-7
Cho, Y. J., Rassias, T. M. and Saadati, R., 2018. Generalized distances and fixed point theorems in fuzzy metric spaces. In Fuzzy Operator Theory in Mathematical Analysis. Springer, Cham., 155-176. https://doi.org/10.1007/978-3-319-93501-0_6
Cona, L., 2023. Approximate fixed point property for intuitionistic fuzzy R-Contractıon map in intuitionistic fuzzy normed spaces. Explorations in Mathematical Analysis: A Collection of Diverse Papers, Prof. Dr. İlker Eryılmaz (Editor), Bidge Publications, 298-316.
Dey, D. and Saha, M., 2013. Approximate fixed point of reich operator. Acta Math. Univ. Comenianae, 82,119‐123.
Dey, D., Laha, A. K. and Saha, M., 2013. Approximate coincidence point of two nonlinear mappings. Journal of Mathematics, Vol 2013, Article ID 962058, 1-4. https://doi.org/10.1155/2013/962058
Di Bari, C. and Vetro, C., 2005. Fixed points, attractors and weak fuzzy contractive mappings in a fuzzy metric space. J. Fuzzy Math., 13, 973-982.
Dinda, B. ve Samanta, T., 2010. Intuitionistic fuzzy continuity and uniform convergence. Int. J. Open Problems Compt. Math, 3(1), 8-26.
El Naschie, M. S., 1998. On the uncertainty of cantorian geometry and two-slit experiment. Chaos, Solitons & Fractals, 9, 517–29. https://doi.org/10.1016/S0960-0779(97)00150-1
El Naschie, M.S., 2000. On the verifications of heterotic strings theory and E(oo) theory. Chaos, Solitons & Fractals, 11, 2397–407. https://doi.org/10.1016/S0960-0779(00)00108-9
El Naschie, M.S., 2005. On a fuzzy Khaler-Like manifold which is consistent with two slit experiment, Int. J. Nonlinear Sciences and Numerical Simulation, 6, 95-98. https://doi.org/10.1515/IJNSNS.2005.6.2.95
Ertürk, M., Karakaya, V., 2013. Correction: n‐tuplet fixed point theorems for contractive type mappings in partially ordered metric spaces. Journal of Inequalities and Applications, 2013: 196. https://doi.org/10.1186/1029-242X-2013-196
Ertürk, M., Karakaya, V., 2014. n-tuplet coincidence point theorems in intuitionistic fuzzy normed spaces. Jour. Function Spaces Appl., Volume 2014, Article number 821342, pp. 1-14. https://doi.org/10.1155/2014/821342
Ertürk, M., Karakaya, V. and Mursaleen, M., 2022. Approximate fixed Point property in Ifns. TWMS Journal of Applied and Engineering Mathematics, 12(1), 329-346.
George, A., Veermani, P. 1997. On some results of analysis for fuzzy metric spaces. Fuzzy Sets and Systems, 90(3), 365-368. https://doi.org/10.1016/S0165-0114(96)00207-2 Grabiec, M., 1988. Fixed points in fuzzy metric spaces. Fuzzy Sets and Systems, 27, 385-389. https://doi.org/10.1016/0165-0114(88)90064-4
Gregori, V. and Romaguera S., 2000. Some properties of fuzzy metric spaces. Fuzzy Sets and Systems, 115, 485- 489. https://doi.org/10.1016/S0165-0114(98)00281-4
Gregori, V. and Sapena, A., 2002. On fixed-point theorems in fuzzy metric spaces. Fuzzy Sets and Systems, 125, 245-252. https://doi.org/10.1016/S0165-0114(00)00088-9
Gregori V. and Romaguera, S., 2004. Charancterizing completable fuzzy metric spaces. Fuzzy Sets and Systems, 144, 411-420. https://doi.org/10.1016/S0165-0114(03)00161-1
Gregori, V., Min ̃ana, J.J., Morillas, S. and Sapena, A., 2016. Characterizing a class of compltable fuzzy metric spaces. Topology and its Applications, 203, 3-11. https://doi.org/10.1016/j.topol.2015.12.070
Gregori, V. and Min ̃ana, J.J., 2016. On Fuzzy ψ-Contractive Sequences and Fixed Point Theorems. Fuzzy Sets Syst., 300, 93–101. https://doi.org/10.1016/j.fss.2015.12.010
Gregori, V., Min ̃ana J.J., Roig B. and Sapena, 2024. On completeness and fixed point theorems in fuzzy metric spaces. Mathematics, 12(2), 287. https://doi.org/10.3390/math12020287
Hadzic O., Pap, E., 2002. A fixed point theorem for multivalued mapping inpropbalitistic metric spaces and an application in fuzzy metric spaces. Fuzzy Sets and Systems, 127, 333-344. https://doi.org/10.1016/S0165-0114(01)00144-0
Karakaya, V., Şimşek, N., Ertürk, M. and Gürsoy, F., 2012. Statistical convergence of sequences of functions in intuitionistic fuzzy normed spaces. Abstract and Applied Analysis, Vol. 2012, Issue 2012, 1‐19. https://doi.org/10.1155/2012/157467
Kramosil, O., Michalek, J., 1975. Fuzzy metric and statistical metric spaces. Kybernetica, 11, 326-334.
Mahmood, Q., Shoaib, A., Rasham, T. and Arshad, M., 2019. Fixed point results for the family of multivalued F-contractive mappings on closed ball in complete dislocated b-metric spaces. Mathematics, 7(1), 56. https://doi.org/10.3390/math7010056
Matouskova, E. and Reich, S., 2003. Reexivity and approximate fixed points. Studia Math., 159, 403-415. https://doi.org/10.4064/sm159-3-5
Mihet, D., 2004. A Banach contraction theorem in fuzzy metric spaces. Fuzzy Sets and Systems, 144, 431–439. https://doi.org/10.1016/S0165-0114(03)00305-1
Mihet, D., 2008. Fuzzy φ-contractive mappings in non-Archimedean fuzzy metric spaces. Fuzzy Sets and Systems, 159, 739-744. https://doi.org/10.1016/j.fss.2007.07.006
Mursaleen, M. and Mohiuddine, S., 2009. Nonlinear operators between intuitionistic fuzzy normed spaces and Frechet derivative. Chaos, Solitons & Fractals, 42(2), 1010-1015. https://doi.org/10.1016/j.chaos.2009.02.041
Mursaleen, M., Lohani, Q.M.D. and Mohiuddine, S.A., 2009. Intuitionistic fuzzy 2-Metric space and its completion. Chaos Solitons Fractals, 42(2), 1258-1265. https://doi.org/10.1016/j.chaos.2009.03.025
Mursaleen, M., Karakaya, V. and Mohiuddine, S. A., 2010. Schauder basis, separability, and approximation property in intuitionistic fuzzy normed space. Abstr. Appl. Anal., Vol 2010, Article ID 131868, 1-14. https://doi.org/10.1155/2010/131868
Pacurar, M. and Pacurar, R.V., 2007. Approximate fixed point theorems for weak contractions on metric spaces. Carpathian Journal of Mathematics, 23, 149‐155.
Park, J.H., 2004. Intuitionistic fuzzy metric spaces, Chaos, Solitons & Fractals, 22, 1039‐1046. https://doi.org/10.1016/j.chaos.2004.02.051
Radu, V., 2002. Some remarks on the probabilistic contractions on fuzzy Menger spaces. Automat.Comput.Appl.Math., 11(2002)125131.
Saadati, R. and Vaezpour, S.M., 2005. Some results on fuzzy Banach spaces. J. Appl. Math. & Computing, 17, No.1-2, 475-484. https://doi.org/10.1007/BF02936069
Saadati, R. and Park, J. H., 2006. On the intuitionistic fuzzy topological spaces. Chaos Solitons Fractals, 27(2), 331-344. https://doi.org/10.1016/j.chaos.2005.03.019
Sangurlu Sezen, M and Turkoglu, D. 2017. Some fixed point theorems of (F,ϕ)- fuzzy contractıons in fuzzy metric spaces. Journal of Inequalities and Special Functions, 4(2017), 10-20.
Sedghi, S., Shobkolaei, N., Došenović, T. and Radenović, S., 2018. Suzuki-type of common fixed point theorems in fuzzy metric spaces. Mathematica Slovaca, 68(2), 451-462. https://doi.org/10.1515/ms-2017-0115
Schwiezer, B. and Sklar, A., 1960. Statistical metric spaces. Pacific Journal of Mathematics, 10, 314-334. https://doi.org/10.2140/pjm.1960.10.313
Sola Erduran, F., Yildiz, C. and Kutukcu, S. 2014. A common fixed point theorem in weak nonArchimedean intuitionistic fuzzy metric spaces. International Journal of Open Compt. Math., 7, 1-15. https://doi.org/10.12816/0007248
Sola Erduran, F., 2020. Sabit fuzzy nokta teoremleri, Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 10 (3), 641-650. https://doi.org/10.17714/gumusfenbil.621967
Tiwari, V. and Som, T., 2019. Fixed points for (ϕ, ψ)-contractions in Menger probabilistic metric spaces. In Advances in Mathematical Methods and High Performance Computing. Springer, Cham.,3, 201-208. https://doi.org/10.1007/978-3-030-02487-1_12
Turkoglu, D., Alaca, C., Cho, Y. J. and Yildiz, C. 2006. Common fixed point theorems in intuitionistic fuzzy metric spaces. Journal of Applied Mathematics and Computing, 22, 411-424. https://doi.org/10.1007/BF02896489
Zadeh, L. A., 1965. Fuzzy sets, Information and Control, 8, 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X
Wang, G., Zhu, C. and Wu, Z., 2019. Some new coupled fixed point theorems in partially ordered complete Menger probabilistic G-metric spaces. Journal of Computational Analysis & Applications, 26, 326.
Wardowski, D., 2013. Fuzzy contractive mappings and fixed Points in fuzzy metric spaces, Fuzzy Sets Syst., 222, 108-114. https://doi.org/10.1016/j.fss.2013.01.012

Toplam 55 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	Türkçe
Konular	Topoloji, Temel Matematik (Diğer)
Bölüm	Makaleler
Yazarlar	Lale Cona 0000-0002-2744-1960 Gizem Güzel Tan Bu kişi benim 0000-0002-7302-8309
Erken Görünüm Tarihi	10 Eylül 2024
Yayımlanma Tarihi
Gönderilme Tarihi	4 Ocak 2024
Kabul Tarihi	29 Haziran 2024
Yayımlandığı Sayı	Yıl 2024 Cilt: 24 Sayı: 05

Kaynak Göster

APA	Cona, L., & Güzel Tan, G. (2024). Sezgisel Bulanık Normlu Uzaylarda Sezgisel f ve ψ Bulanık Daralma Dönüşüm Sınıfları için Yaklaşık Sabit Nokta Özelliği. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 24(05), 1102-1112.
AMA	Cona L, Güzel Tan G. Sezgisel Bulanık Normlu Uzaylarda Sezgisel f ve ψ Bulanık Daralma Dönüşüm Sınıfları için Yaklaşık Sabit Nokta Özelliği. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. Eylül 2024;24(05):1102-1112.
Chicago	Cona, Lale, ve Gizem Güzel Tan. “Sezgisel Bulanık Normlu Uzaylarda Sezgisel F Ve ψ Bulanık Daralma Dönüşüm Sınıfları için Yaklaşık Sabit Nokta Özelliği”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 24, sy. 05 (Eylül 2024): 1102-12.
EndNote	Cona L, Güzel Tan G (01 Eylül 2024) Sezgisel Bulanık Normlu Uzaylarda Sezgisel f ve ψ Bulanık Daralma Dönüşüm Sınıfları için Yaklaşık Sabit Nokta Özelliği. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 24 05 1102–1112.
IEEE	L. Cona ve G. Güzel Tan, “Sezgisel Bulanık Normlu Uzaylarda Sezgisel f ve ψ Bulanık Daralma Dönüşüm Sınıfları için Yaklaşık Sabit Nokta Özelliği”, Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, c. 24, sy. 05, ss. 1102–1112, 2024.
ISNAD	Cona, Lale - Güzel Tan, Gizem. “Sezgisel Bulanık Normlu Uzaylarda Sezgisel F Ve ψ Bulanık Daralma Dönüşüm Sınıfları için Yaklaşık Sabit Nokta Özelliği”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 24/05 (Eylül 2024), 1102-1112.
JAMA	Cona L, Güzel Tan G. Sezgisel Bulanık Normlu Uzaylarda Sezgisel f ve ψ Bulanık Daralma Dönüşüm Sınıfları için Yaklaşık Sabit Nokta Özelliği. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2024;24:1102–1112.
MLA	Cona, Lale ve Gizem Güzel Tan. “Sezgisel Bulanık Normlu Uzaylarda Sezgisel F Ve ψ Bulanık Daralma Dönüşüm Sınıfları için Yaklaşık Sabit Nokta Özelliği”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, c. 24, sy. 05, 2024, ss. 1102-1.
Vancouver	Cona L, Güzel Tan G. Sezgisel Bulanık Normlu Uzaylarda Sezgisel f ve ψ Bulanık Daralma Dönüşüm Sınıfları için Yaklaşık Sabit Nokta Özelliği. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2024;24(05):1102-1.

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