An Application of Fixed Point Theory to a Nonlinear Differential Equation-Reference-Cited by-同舟云学术

An Application of Fixed Point Theory to a Nonlinear Differential Equation

Published:2014 Issue: Volume:2014 Page:1-7
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Farajzadeh A. P.¹,Kaewcharoen A.²,Plubtieng S.²

Affiliation:

1. Department of Mathematics, Razi University, Kermanshah 67149, Iran

2. Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand

Abstract

We introduce a new family of mappings on[0,+∞)by relaxing the nondecreasing condition on the mappings and by using the properties of this new family we present some fixed point theorems forα-ψ-contractive-type mappings in the setting of complete metric spaces. By applying our obtained results, we also assure the fixed point theorems in partially ordered complete metric spaces and as an application of the main results we provide an existence theorem for a nonlinear differential equation.

Funder

Naresuan University

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/605405.pdf

Reference14 articles.

1. On common fixed points of weakly compatible mappings satisfying ‘generalized condition (B)’

2. Common fixed point results for noncommuting mappings without continuity in cone metric spaces

3. Generalized - Contractive Type Mappings and Related Fixed Point Theorems with Applications