Author:
Asadi Mehdi,Karapınar Erdal,Kumar Anil
Abstract
Abstract
In this work, we introduce the class of α-ψ-Geraghty contraction as well as generalized α-ψ-Geraghty contraction mappings in the context of generalized metric spaces where ψ is an auxiliary function which does not require the subadditive property and set up some fixed point results for both classes individually. Our results will extend, improve and generalize several existing results in the literature.
MSC:46T99, 47H10, 54H25.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference50 articles.
1. Branciari A: A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces. Publ. Math. (Debr.) 2000, 57: 31–37.
2. Samet B: Discussion on ‘A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces’ by A. Branciari. Publ. Math. (Debr.) 2010,76(4):493–494.
3. Wilson WA: On semimetric spaces. Am. J. Math. 1931,53(2):361–373. 10.2307/2370790
4. Jleli M, Samet B: The Kannan’s fixed point theorem in a cone rectangular metric space. J. Nonlinear Sci. Appl. 2009,2(3):161–167.
5. Kirk WA, Shahzad N: Generalized metrics and Caristi’s theorem. Fixed Point Theory Appl. 2013., 2013: Article ID 129
Cited by
22 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献