Research Article

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

Volume: 4 Number: 3 September 30, 2016
EN

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

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.


Keywords

References

  1. Harandi, A.A.: Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory Appl. 2012 (204) (2012).
  2. Karapinar, E. and Salimi, P.: Dislocated metric space to metric spaces with some fixed point theorems, Fixed Point Theory Appl. 2013, (222) (2013).
  3. 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.
  4. 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.
  5. 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.
  6. Matthews, S. G.: "Partial metric topology", Annals of the New York Academy of sciences: General Topology and Applications, vol. 728, pp. 183-197, 1994.
  7. 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
  8. 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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Hukmi Kiziltunc This is me
Türkiye

Publication Date

September 30, 2016

Submission Date

January 30, 2016

Acceptance Date

March 9, 2016

Published in Issue

Year 2016 Volume: 4 Number: 3

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.Esra Yolacan, Hukmi Kiziltunc. Common fixed point results for generalized α-ψ- contractions in 0-σ-complete metric-like space. New Trends in Mathematical Sciences [Internet]. 2016 Sep. 1;4(3):36-48. Available from: https://izlik.org/JA39MX98WK