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Year 2016, Volume: 4 Issue: 3, 36 - 48, 30.09.2016
https://izlik.org/JA39MX98WK

Abstract

References

  • Harandi, A.A.: Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory Appl. 2012 (204) (2012).
  • Karapinar, E. and Salimi, P.: Dislocated metric space to metric spaces with some fixed point theorems, Fixed Point Theory Appl. 2013, (222) (2013).
  • Kohli, M., Shristava, R., Sharma, M.: Some results on fixed point theorems in dislocated quasi metric space, Int. J. Theoret. Appl. Sci. 2 (2010), 27-28.
  • Ren, Y., Li, J., Yu, Y.: Common fixed point theorems for nonlinear contractive mappings in dislocated metric spaces, Abstract and Applied Analysis Volume 2013, Article ID 483059, 5 pages.
  • Aydi, H., Karapinar, E.: Fixed point results for generalized α-ψ-contractions in metric-like spaces and applications, Electronic Journal of Differential Equations Volume 2015, No. 133, pp. 1-15, ISSN: 1072-6691.
  • Matthews, S. G.: "Partial metric topology", Annals of the New York Academy of sciences: General Topology and Applications, vol. 728, pp. 183-197, 1994.
  • Matthews, S. G.: "Partial metric topology", Proc. 8 th Summer Conference on General Topology and Applications, Ann. New York Acad. Sci., 728 (1994) 183-197. http://dx.doi.org/10.1111/j.1749-6632.1994.tb44144x
  • Shukla, S., Radenovic',S., Rajic', V. C'.: Some common fixed point theorems in 0-σ-complete metric-like spaces, Vietnam J. Math (2013) 41: 341-352.
  • Abbas, M., Jungck, J.: Common fixed point results for noncommuting mappings without continuity in cone metric spaces. J. Math. Anal. Appl. 341, 341, 416-420 (2008).
  • Samet, B., Vetro, C., Vetro, P.: Fixed point theorems for α-ψ-contractive type mappings. Nonlinear Anal. 75, 2154-2165 (2012).
  • Shahi, P., Kaur, J., Bhatia, S. S.: Coincidence and common fixed point results for generalized α-ψ-contractive type mappings with applications. arXiv: 1306.3498v1 [math. FA] 14 Jun 2013.
  • Fadail, Z. M., Ahmad, A. G. B., Ansari, A. H., Radenovic', S, Rajovic', M.: Some common fixed point results of mappings in 0-σ-complete metric-like spaces. Applied Mathematical Sciences, Vol. 9, 2015, no. 83, 5009-5027.

Common fixed point results for generalized α-ψ- contractions in 0-σ-complete metric-like space

Year 2016, Volume: 4 Issue: 3, 36 - 48, 30.09.2016
https://izlik.org/JA39MX98WK

Abstract




In this paper, we establish some common fixed point
theorems for mappings satisfying an
contractive condition in complete metric-like space. Our results extend and generalize many
existing results in the literature. Moreover, the present results are supported
by two illustrative examples.




References

  • Harandi, A.A.: Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory Appl. 2012 (204) (2012).
  • Karapinar, E. and Salimi, P.: Dislocated metric space to metric spaces with some fixed point theorems, Fixed Point Theory Appl. 2013, (222) (2013).
  • Kohli, M., Shristava, R., Sharma, M.: Some results on fixed point theorems in dislocated quasi metric space, Int. J. Theoret. Appl. Sci. 2 (2010), 27-28.
  • Ren, Y., Li, J., Yu, Y.: Common fixed point theorems for nonlinear contractive mappings in dislocated metric spaces, Abstract and Applied Analysis Volume 2013, Article ID 483059, 5 pages.
  • Aydi, H., Karapinar, E.: Fixed point results for generalized α-ψ-contractions in metric-like spaces and applications, Electronic Journal of Differential Equations Volume 2015, No. 133, pp. 1-15, ISSN: 1072-6691.
  • Matthews, S. G.: "Partial metric topology", Annals of the New York Academy of sciences: General Topology and Applications, vol. 728, pp. 183-197, 1994.
  • Matthews, S. G.: "Partial metric topology", Proc. 8 th Summer Conference on General Topology and Applications, Ann. New York Acad. Sci., 728 (1994) 183-197. http://dx.doi.org/10.1111/j.1749-6632.1994.tb44144x
  • Shukla, S., Radenovic',S., Rajic', V. C'.: Some common fixed point theorems in 0-σ-complete metric-like spaces, Vietnam J. Math (2013) 41: 341-352.
  • Abbas, M., Jungck, J.: Common fixed point results for noncommuting mappings without continuity in cone metric spaces. J. Math. Anal. Appl. 341, 341, 416-420 (2008).
  • Samet, B., Vetro, C., Vetro, P.: Fixed point theorems for α-ψ-contractive type mappings. Nonlinear Anal. 75, 2154-2165 (2012).
  • Shahi, P., Kaur, J., Bhatia, S. S.: Coincidence and common fixed point results for generalized α-ψ-contractive type mappings with applications. arXiv: 1306.3498v1 [math. FA] 14 Jun 2013.
  • Fadail, Z. M., Ahmad, A. G. B., Ansari, A. H., Radenovic', S, Rajovic', M.: Some common fixed point results of mappings in 0-σ-complete metric-like spaces. Applied Mathematical Sciences, Vol. 9, 2015, no. 83, 5009-5027.
There are 12 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Esra Yolacan

Hukmi Kiziltunc This is me

Publication Date September 30, 2016
IZ https://izlik.org/JA39MX98WK
Published in Issue Year 2016 Volume: 4 Issue: 3

Cite

APA Yolacan, E., & Kiziltunc, H. (2016). Common fixed point results for generalized α-ψ- contractions in 0-σ-complete metric-like space. New Trends in Mathematical Sciences, 4(3), 36-48. https://izlik.org/JA39MX98WK
AMA 1.Yolacan E, Kiziltunc H. Common fixed point results for generalized α-ψ- contractions in 0-σ-complete metric-like space. New Trends in Mathematical Sciences. 2016;4(3):36-48. https://izlik.org/JA39MX98WK
Chicago Yolacan, Esra, and Hukmi Kiziltunc. 2016. “Common Fixed Point Results for Generalized α-ψ- Contractions in 0-σ-Complete Metric-Like Space”. New Trends in Mathematical Sciences 4 (3): 36-48. https://izlik.org/JA39MX98WK.
EndNote Yolacan E, Kiziltunc H (September 1, 2016) Common fixed point results for generalized α-ψ- contractions in 0-σ-complete metric-like space. New Trends in Mathematical Sciences 4 3 36–48.
IEEE [1]E. Yolacan and H. Kiziltunc, “Common fixed point results for generalized α-ψ- contractions in 0-σ-complete metric-like space”, New Trends in Mathematical Sciences, vol. 4, no. 3, pp. 36–48, Sept. 2016, [Online]. Available: https://izlik.org/JA39MX98WK
ISNAD Yolacan, Esra - Kiziltunc, Hukmi. “Common Fixed Point Results for Generalized α-ψ- Contractions in 0-σ-Complete Metric-Like Space”. New Trends in Mathematical Sciences 4/3 (September 1, 2016): 36-48. https://izlik.org/JA39MX98WK.
JAMA 1.Yolacan E, Kiziltunc H. Common fixed point results for generalized α-ψ- contractions in 0-σ-complete metric-like space. New Trends in Mathematical Sciences. 2016;4:36–48.
MLA Yolacan, Esra, and Hukmi Kiziltunc. “Common Fixed Point Results for Generalized α-ψ- Contractions in 0-σ-Complete Metric-Like Space”. New Trends in Mathematical Sciences, vol. 4, no. 3, Sept. 2016, pp. 36-48, https://izlik.org/JA39MX98WK.
Vancouver 1.Yolacan E, Kiziltunc H. Common fixed point results for generalized α-ψ- contractions in 0-σ-complete metric-like space. New Trends in Mathematical Sciences [Internet]. 2016 Sept. 1;4(3):36-48. Available from: https://izlik.org/JA39MX98WK