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Year 2016, Volume: 4 Issue: 3, 36 - 48, 30.09.2016

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

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 Articles
Authors

Esra Yolacan

Hukmi Kiziltunc This is me

Publication Date September 30, 2016
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.
AMA 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. September 2016;4(3):36-48.
Chicago 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 4, no. 3 (September 2016): 36-48.
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 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, 2016.
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 2016), 36-48.
JAMA 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, 2016, pp. 36-48.
Vancouver 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.