Fixed Point Theorems for a Class ofα-Admissible Contractions and Applications to Boundary Value Problem-Reference-Cited by-同舟云学术

Fixed Point Theorems for a Class ofα-Admissible Contractions and Applications to Boundary Value Problem

Published:2014 Issue: Volume:2014 Page:1-10
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Alsulami Hamed H.¹,Gülyaz Selma²,Karapınar Erdal¹³,Erhan İncı M.³

Affiliation:

1. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, King Abdulaziz University, Jeddah, Saudi Arabia

2. Department of Mathematics, Cumhuriyet University, Sivas, Turkey

3. Department of Mathematics, Atilim University, Incek, 06836 Ankara, Turkey

Abstract

A class ofα-admissible contractions defined via altering distance functions is introduced. The existence and uniqueness conditions for fixed points of such maps on complete metric spaces are investigated and related fixed point theorems are presented. The results are reconsidered in the context of partially ordered metric spaces and applied to boundary value problems for differential equations with periodic boundary conditions.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/187031.pdf

Reference10 articles.

1. Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations

2. Fixed point theorems for weakly contractive mappings in partially ordered sets

3. Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations

4. Contractive-Like Mapping Principles in Ordered Metric Spaces and Application to Ordinary Differential Equations

5. A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations

Cited by 30 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 points of JS-contractive mappings with applications;The Journal of Analysis;2023-06-04

2. A Survey on the Fixed Point Theorems via Admissible Mapping;3C TIC: Cuadernos de desarrollo aplicados a las TIC;2022-12-29

3. Solving a Boundary Value Problem via Fixed-Point Theorem on ®-Metric Space;Symmetry;2022-11-29

4. Recent Thought of a α_*-Geraghty F-Contraction with Application;J MATH EXT;2022

5. Solving integral equations via admissible contraction mappings;Filomat;2022