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On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces

Yıl 2018, Sayı: 25, 59 - 64, 06.10.2018

Öz

In
this paper, we come out with the approach of generalized  
(Ψ,φ)-almost
weakly contractive maps in the context of generalized fuzzy metric spaces. We
prove theorem to show the existence of a fixed point and also provide an
example in support to our result.

Kaynakça

  • [1] Atanassov, K., Intuitionistic fuzzy sets, Fuzzy, Sets and Systems 20 (1986) 87–96.
  • [2] George, A. and Veeramani, P., On some results in fuzzy metric spaces, Fuzzy sets and Systems, (1994). 395–399.
  • [3] Kramosil, I. and Michalek, J., Fuzzy metric and statistical metric space, Kybernetika, 11(1975), 326-334.
  • [4] Sun, G. and Yang, K., Generalized fuzzy metric spaces with properties, Research Journal of Applied Sciences Eng. and Technology, Vol.2, (7), (2010), 673-678.
  • [5] Babu, G. V. R., Dasari Ratna babu, Kanuri Nageswara Rao, Bendi Venkata Siva Kumar, Fixed points of (Ψ,φ)-almost weakly contractive maps in G- metric Spaces, Applied Mathematical E-Notes 14 (2014), 69- 85.
  • [6] Berinde, V., Approximating fixed points of weak contractions using the picard Iteration, Nonlinear Anal. Forum, 9 (2004), 43- 53.
  • [7] Doric, D., Common fixed point for generalized (Ψ,φ) - weakly contractions, Appl. Math. Letter., 22 (2009), 1896-1900.
  • [8] Dutta, P. N. and Choudhury B. S., A generalization of contraction principle in metric spaces, Fixed point Theory and Appl., (2008), Article ID 406368.
  • [9] Harjani, J. and Sadarangani, K., Fixed point theorems for weakly contractive mappings in partially ordered sets, Nonlinear Analy., 71 (2009) 3403-3410.
  • [10] Manthena P., Rangamma, M., Fixed points of of (Ψ,φ)-lmost weakly contractive maps in Fuzzy metric spaces, Advanced Fixed point theory, 6 (2016), No.4, 387-396.
  • [11] Rhoades, B. E., some theorems on weak contractive maps, Nonlinear Anal. 47(2001), 2683- 2693.
  • [12] Saha, P., A weak contraction in G- Complete Fuzzy metric space, Intern. J. Fuzzy Mathematical Archive 3 (2013), 100- 103.
  • [13] Schweizer, B. and Sklar, A., Statistical metric spaces, Pacific Journal of Math., 10 (1960), 313.
  • [14] Zang, Q. and Song, Y., Fixed point theory for generalized φ–weak contractions, Appl. Math. Letter, 22 (2009), 75-78.
  • [15] Zadeh, L. A, Fuzzy sets, Infor. and Control., (1965), 8338 – 353.
Yıl 2018, Sayı: 25, 59 - 64, 06.10.2018

Öz

Kaynakça

  • [1] Atanassov, K., Intuitionistic fuzzy sets, Fuzzy, Sets and Systems 20 (1986) 87–96.
  • [2] George, A. and Veeramani, P., On some results in fuzzy metric spaces, Fuzzy sets and Systems, (1994). 395–399.
  • [3] Kramosil, I. and Michalek, J., Fuzzy metric and statistical metric space, Kybernetika, 11(1975), 326-334.
  • [4] Sun, G. and Yang, K., Generalized fuzzy metric spaces with properties, Research Journal of Applied Sciences Eng. and Technology, Vol.2, (7), (2010), 673-678.
  • [5] Babu, G. V. R., Dasari Ratna babu, Kanuri Nageswara Rao, Bendi Venkata Siva Kumar, Fixed points of (Ψ,φ)-almost weakly contractive maps in G- metric Spaces, Applied Mathematical E-Notes 14 (2014), 69- 85.
  • [6] Berinde, V., Approximating fixed points of weak contractions using the picard Iteration, Nonlinear Anal. Forum, 9 (2004), 43- 53.
  • [7] Doric, D., Common fixed point for generalized (Ψ,φ) - weakly contractions, Appl. Math. Letter., 22 (2009), 1896-1900.
  • [8] Dutta, P. N. and Choudhury B. S., A generalization of contraction principle in metric spaces, Fixed point Theory and Appl., (2008), Article ID 406368.
  • [9] Harjani, J. and Sadarangani, K., Fixed point theorems for weakly contractive mappings in partially ordered sets, Nonlinear Analy., 71 (2009) 3403-3410.
  • [10] Manthena P., Rangamma, M., Fixed points of of (Ψ,φ)-lmost weakly contractive maps in Fuzzy metric spaces, Advanced Fixed point theory, 6 (2016), No.4, 387-396.
  • [11] Rhoades, B. E., some theorems on weak contractive maps, Nonlinear Anal. 47(2001), 2683- 2693.
  • [12] Saha, P., A weak contraction in G- Complete Fuzzy metric space, Intern. J. Fuzzy Mathematical Archive 3 (2013), 100- 103.
  • [13] Schweizer, B. and Sklar, A., Statistical metric spaces, Pacific Journal of Math., 10 (1960), 313.
  • [14] Zang, Q. and Song, Y., Fixed point theory for generalized φ–weak contractions, Appl. Math. Letter, 22 (2009), 75-78.
  • [15] Zadeh, L. A, Fuzzy sets, Infor. and Control., (1965), 8338 – 353.
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Maduraiveeran Jeyaraman Bu kişi benim

Rengasamy Muthuraj Bu kişi benim

Mangaiyarkarasu Sornavalli Bu kişi benim

Yayımlanma Tarihi 6 Ekim 2018
Gönderilme Tarihi 22 Mayıs 2018
Yayımlandığı Sayı Yıl 2018 Sayı: 25

Kaynak Göster

APA Jeyaraman, M., Muthuraj, R., & Sornavalli, M. (2018). On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces. Journal of New Theory(25), 59-64.
AMA Jeyaraman M, Muthuraj R, Sornavalli M. On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces. JNT. Ekim 2018;(25):59-64.
Chicago Jeyaraman, Maduraiveeran, Rengasamy Muthuraj, ve Mangaiyarkarasu Sornavalli. “On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces”. Journal of New Theory, sy. 25 (Ekim 2018): 59-64.
EndNote Jeyaraman M, Muthuraj R, Sornavalli M (01 Ekim 2018) On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces. Journal of New Theory 25 59–64.
IEEE M. Jeyaraman, R. Muthuraj, ve M. Sornavalli, “On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces”, JNT, sy. 25, ss. 59–64, Ekim 2018.
ISNAD Jeyaraman, Maduraiveeran vd. “On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces”. Journal of New Theory 25 (Ekim 2018), 59-64.
JAMA Jeyaraman M, Muthuraj R, Sornavalli M. On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces. JNT. 2018;:59–64.
MLA Jeyaraman, Maduraiveeran vd. “On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces”. Journal of New Theory, sy. 25, 2018, ss. 59-64.
Vancouver Jeyaraman M, Muthuraj R, Sornavalli M. On Generalized (Ψ,φ)-Almost Weakly Contractive Maps in Generalized Fuzzy Metric Spaces. JNT. 2018(25):59-64.


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