Fixed Point Results for φ − (γ, η, n, m)−Contractions with Applications to Nonlinear Integral Equations

<p>The aim of this paper is to introduce a new class of pair of contraction mappings, called φ − (γ, η, n, m)-contraction pairs, and obtain common fixed point theorems for a pair of mappings in this class, satisfying a weakly compatible condition. As an application, we use mappings of this cla...

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Main Authors: Hasanen A. Hammad, Manuel De la Sen
Format: Article
Language:English
Published: Etamaths Publishing 2019-04-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/1858
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spelling doaj-faec60931c9243548758f277c728c2a82020-11-25T01:13:41ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392019-04-01173448463382Fixed Point Results for φ − (γ, η, n, m)−Contractions with Applications to Nonlinear Integral EquationsHasanen A. Hammad0Manuel De la Sen1Sohag UniversityUniversity of the Basque Country<p>The aim of this paper is to introduce a new class of pair of contraction mappings, called φ − (γ, η, n, m)-contraction pairs, and obtain common fixed point theorems for a pair of mappings in this class, satisfying a weakly compatible condition. As an application, we use mappings of this class to find the existence of solutions for nonlinear integral equations on the space of continuous functions and in some of its subspaces. Moreover, some examples are given here to illustrate the applicability of these results.</p>http://www.etamaths.com/index.php/ijaa/article/view/1858
collection DOAJ
language English
format Article
sources DOAJ
author Hasanen A. Hammad
Manuel De la Sen
spellingShingle Hasanen A. Hammad
Manuel De la Sen
Fixed Point Results for φ − (γ, η, n, m)−Contractions with Applications to Nonlinear Integral Equations
International Journal of Analysis and Applications
author_facet Hasanen A. Hammad
Manuel De la Sen
author_sort Hasanen A. Hammad
title Fixed Point Results for φ − (γ, η, n, m)−Contractions with Applications to Nonlinear Integral Equations
title_short Fixed Point Results for φ − (γ, η, n, m)−Contractions with Applications to Nonlinear Integral Equations
title_full Fixed Point Results for φ − (γ, η, n, m)−Contractions with Applications to Nonlinear Integral Equations
title_fullStr Fixed Point Results for φ − (γ, η, n, m)−Contractions with Applications to Nonlinear Integral Equations
title_full_unstemmed Fixed Point Results for φ − (γ, η, n, m)−Contractions with Applications to Nonlinear Integral Equations
title_sort fixed point results for φ − (γ, η, n, m)−contractions with applications to nonlinear integral equations
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2019-04-01
description <p>The aim of this paper is to introduce a new class of pair of contraction mappings, called φ − (γ, η, n, m)-contraction pairs, and obtain common fixed point theorems for a pair of mappings in this class, satisfying a weakly compatible condition. As an application, we use mappings of this class to find the existence of solutions for nonlinear integral equations on the space of continuous functions and in some of its subspaces. Moreover, some examples are given here to illustrate the applicability of these results.</p>
url http://www.etamaths.com/index.php/ijaa/article/view/1858
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AT manueldelasen fixedpointresultsforphgēnmcontractionswithapplicationstononlinearintegralequations
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