Some common fixed point results in ordered partial b-metric spaces-Reference-Cited by-同舟云学术

Some common fixed point results in ordered partial b-metric spaces

Published:2013-11-25 Issue:1 Volume:2013 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Mustafa Zead,Roshan Jamal Rezaei,Parvaneh Vahid,Kadelburg Zoran

Abstract

Abstract In this paper, we introduce a modified version of ordered partial b-metric spaces. We demonstrate a fundamental lemma for the convergence of sequences in such spaces. Using this lemma, we prove some fixed point and common fixed point results for ( ψ , φ ) -weakly contractive mappings in the setup of ordered partial b-metric spaces. Finally, examples are presented to verify the effectiveness and applicability of our main results. MSC: 47H10, 54H25.

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-2013-562.pdf

Reference42 articles.

1. Ran ACM, Reurings MCB: A fixed point theorem in partially ordered sets and some application to matrix equations. Proc. Am. Math. Soc. 2004, 132: 1435–1443. 10.1090/S0002-9939-03-07220-4

2. Nieto JJ, Lopez RR: Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations. Order 2005, 22: 223–239. 10.1007/s11083-005-9018-5

3. Abbas M, Nazir T, Radenović S: Common fixed points of four maps in partially ordered metric spaces. Appl. Math. Lett. 2011, 24: 1520–1526. 10.1016/j.aml.2011.03.038

4. Aghajani A, Radenović S, Roshan JR:Common fixed point results for four mappings satisfying almost generalized "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" -contractive condition in partially ordered metric spaces. Appl. Math. Comput. 2012, 218: 5665–5670. 10.1016/j.amc.2011.11.061

5. Ćirić Lj, Abbas M, Saadati R, Hussain N: Common fixed points of almost generalized contractive mappings in ordered metric spaces. Appl. Math. Comput. 2011, 217: 5784–5789. 10.1016/j.amc.2010.12.060

Cited by 63 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. Generalized $ (\alpha_s, \xi, \hbar, \tau) $-Geraghty contractive mappings and common fixed point results in partial $ b $-metric spaces;AIMS Mathematics;2024

2. A Careful Retrospection of Metric Spaces and Contraction Mappings with Computer Simulation;Industrial and Applied Mathematics;2024

3. Existence of Fuzzy Fixed Points and Common Fuzzy Fixed Points for FG-Contractions with Applications;Mathematics;2023-09-19

4. Existence of Best Proximity Point in O-CompleteMetric Spaces;Mathematics;2023-08-09

5. General New Results on (ϕ,F)−Contractions in b−Metric-like-Spaces;Axioms;2023-07-07