A generalization of Geraghty's theorem in partially ordered metric spaces and applications to ordinary differential equations-Reference-Cited by-同舟云学术

A generalization of Geraghty's theorem in partially ordered metric spaces and applications to ordinary differential equations

Published:2012-05-04 Issue:1 Volume:2012 Page:
ISSN:1687-1812
Container-title:Fixed Point Theory and Applications
language:en
Short-container-title:Fixed Point Theory Appl

Author:

Gordji Madjid Eshaghi,Ramezani Maryam,Cho Yeol Je,Pirbavafa Saeideh

Abstract

Abstract The purpose of this article is to present some fixed point theorems for generalized contraction in partially ordered complete metric spaces. As an application, we give an existence and uniqueness for the solution of an initial-boundary-value problem. 2000 Mathematics Subject Classification: 47H10; 54H25; 34B15.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Link

https://link.springer.com/content/pdf/10.1186/1687-1812-2012-74.pdf

Reference28 articles.

1. Abbas M, Cho YJ, Nazir T: Common fixed point theorems for four mappings in TVS-valued cone metric spaces. J Math Inequal 2011, 5: 287–299.

2. Agarwal RP, El-Gebeily MA, O'regan D: Generalized contractions in partially ordered metric spaces. Appl Anal 2008, 87: 109–116. 10.1080/00036810701556151

3. Amini-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 2010, 72: 2238–2242. 10.1016/j.na.2009.10.023

4. Bhaskar TG, Lakshmikantham V: Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Anal 2006, 65: 1379–1393. 10.1016/j.na.2005.10.017

5. Cho YJ, He G, Huang NJ: The existence results of coupled quasi-solutions for a class of operator equations. Bull Korean Math Soc 2010, 47: 455–465.

Cited by 27 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. Fixed point theorems for metric tower mappings in complete metric spaces;The Journal of Analysis;2023-10-06

2. Fixed point theorems of new generalized C-conditions for ( psi; gamma)-mappings in modular metric spaces and its applications;Nonlinear Analysis: Modelling and Control;2023-07-19

3. Applying an Extended β-ϕ-Geraghty Contraction for Solving Coupled Ordinary Differential Equations;Symmetry;2023-03-14

4. Study of implicit relation in w-distance and (η,θ,Z,φ)β-contraction in wt-distance with an application;Fixed Point Theory;2023-02-01

5. Fixed point approach to the Mittag-Leffler kernel-related fractional differential equations;AIMS Mathematics;2023