Generalized α-ψ contractive mappings in quasi-metric spaces and related fixed-point theorems-Reference-Cited by-同舟云学术

Generalized α-ψ contractive mappings in quasi-metric spaces and related fixed-point theorems

Published:2014-01-24 Issue:1 Volume:2014 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Bilgili Nurcan,Karapınar Erdal,Samet Bessem

Abstract

Abstract In this paper, we characterize α-ψ contractive mappings in the setting of quasi-metric spaces and investigate the existence and uniqueness of a fixed point of such mappings. We notice that by using our result some fixed-point theorems in the context of G-metric space can be deduced. MSC:46T99, 47H10, 54H25, 46J10.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1029-242X-2014-36.pdf

Reference11 articles.

1. Samet B, Vetro C, Vetro P: Fixed point theorem for α - ψ contractive type mappings. Nonlinear Anal. 2012, 75: 2154-2165. 10.1016/j.na.2011.10.014

2. Samet B, Vetro C, Vetro F: Remarks on metric spaces. Int. J. Anal. 2013., 2013: Article ID 917158

3. Karapınar E, Samet B: Generalized α - ψ contractive type mappings and related fixed point theorems with applications. Abstr. Appl. Anal. 2012., 2012: Article ID 793486 10.1155/2012/793486

4. Agarwal R, Karapınar E: Remarks on some coupled fixed point theorems in G -metric spaces. Fixed Point Theory Appl. 2013., 2013: Article ID 2

5. Agarwal R, Karapınar E: Further fixed point results on G -metric spaces. Fixed Point Theory Appl. 2013., 2013: Article ID 154

Cited by 31 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

1. Hu's characterization of metric completeness revisited;Advances in the Theory of Nonlinear Analysis and its Application;2022-12-30

2. \(n\)-Tuple Fixed Point Theorem in Bi-Complete \(F\)-quasi Metric Space;Communications in Mathematics and Applications;2022-08-17

3. On Quasi b-Metric Space with index k and fixed point results;The Journal of Analysis;2022-01-10

4. On the Meir–Keeler theorem in quasi-metric spaces;Journal of Fixed Point Theory and Applications;2021-06-12

5. Fixed discs in quasi-metric spaces;Fixed Point Theory;2021-02-01