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NEW RESULTS FOR α-GERAGHTY TYPE CONTRACTIVE MAPS WİTH SOME APPLICATIONS
Abstract
In this paper, we establish some coupled fixed point theorems for α-Geraghty type contractive mappings in the context of partially ordered metric spaces. Applying these results, we deduce fixed point results on metric spaces endowed with graph. Also, the effectiveness of our work is validated with the help of a suitable example.
Keywords
References
- Bhaskar, TG, Lakshmikantham, V: Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Anal. 65, 1379-1393 (2006).
- Amini A. Harandi, A, Emami, H: A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations. Nonlinear Anal. 72, 2238-2242 (2010).
- Karapınar and Agarwal: A note on "Coupled fixed point theorems for α-ψ-contractive type mappings in partially ordered metric spaces". Fixed Point Theory and Applications 2013 2013: 216.
- M. Geraghty, On contractive mappings, Proc. Amer. Math. Soc. 40 (1973) 604-608.
- Mursaleen et al.: Coupled fixed point theorems for α-ψ-contractive type mappings in partially ordered metric spaces. Fixed Point Theory and Applications 2012 2012: 228.
- Samet, B, Vetro, C, Vetro, P: Fixed point theorems for α-ψ-contractive type mappings. Nonlinear Anal. 75, 2154-2165 (2012).
- Karapinar, E, Kumam, P, Salimi, P: On α-ψ-Meir-Keeler contractive type mappings. Fixed Point Theory and Applications 2013, Article ID 94 (2013).
- Banach, S: Sur les operations dans les ensembles abstraits et leur application aux equation integrales. Fund. Math. 3 (1922), 133-181.1.
Details
Primary Language
English
Subjects
-
Journal Section
-
Publication Date
September 30, 2016
Submission Date
May 1, 2016
Acceptance Date
-
Published in Issue
Year 2016 Volume: 29 Number: 3
APA
Yolacan, E., & Kır, M. (2016). NEW RESULTS FOR α-GERAGHTY TYPE CONTRACTIVE MAPS WİTH SOME APPLICATIONS. Gazi University Journal of Science, 29(3), 651-658. https://izlik.org/JA98ZJ89NG
AMA
1.Yolacan E, Kır M. NEW RESULTS FOR α-GERAGHTY TYPE CONTRACTIVE MAPS WİTH SOME APPLICATIONS. Gazi University Journal of Science. 2016;29(3):651-658. https://izlik.org/JA98ZJ89NG
Chicago
Yolacan, Esra, and Mehmet Kır. 2016. “NEW RESULTS FOR α-GERAGHTY TYPE CONTRACTIVE MAPS WİTH SOME APPLICATIONS”. Gazi University Journal of Science 29 (3): 651-58. https://izlik.org/JA98ZJ89NG.
EndNote
Yolacan E, Kır M (September 1, 2016) NEW RESULTS FOR α-GERAGHTY TYPE CONTRACTIVE MAPS WİTH SOME APPLICATIONS. Gazi University Journal of Science 29 3 651–658.
IEEE
[1]E. Yolacan and M. Kır, “NEW RESULTS FOR α-GERAGHTY TYPE CONTRACTIVE MAPS WİTH SOME APPLICATIONS”, Gazi University Journal of Science, vol. 29, no. 3, pp. 651–658, Sept. 2016, [Online]. Available: https://izlik.org/JA98ZJ89NG
ISNAD
Yolacan, Esra - Kır, Mehmet. “NEW RESULTS FOR α-GERAGHTY TYPE CONTRACTIVE MAPS WİTH SOME APPLICATIONS”. Gazi University Journal of Science 29/3 (September 1, 2016): 651-658. https://izlik.org/JA98ZJ89NG.
JAMA
1.Yolacan E, Kır M. NEW RESULTS FOR α-GERAGHTY TYPE CONTRACTIVE MAPS WİTH SOME APPLICATIONS. Gazi University Journal of Science. 2016;29:651–658.
MLA
Yolacan, Esra, and Mehmet Kır. “NEW RESULTS FOR α-GERAGHTY TYPE CONTRACTIVE MAPS WİTH SOME APPLICATIONS”. Gazi University Journal of Science, vol. 29, no. 3, Sept. 2016, pp. 651-8, https://izlik.org/JA98ZJ89NG.
Vancouver
1.Esra Yolacan, Mehmet Kır. NEW RESULTS FOR α-GERAGHTY TYPE CONTRACTIVE MAPS WİTH SOME APPLICATIONS. Gazi University Journal of Science [Internet]. 2016 Sep. 1;29(3):651-8. Available from: https://izlik.org/JA98ZJ89NG