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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2019-04-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://www.etamaths.com/index.php/ijaa/article/view/1858 |
| _version_ | 1828481187123822592 |
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| author | Hasanen A. Hammad Manuel De la Sen |
| author_facet | Hasanen A. Hammad Manuel De la Sen |
| author_sort | Hasanen A. Hammad |
| collection | DOAJ |
| 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> |
| first_indexed | 2024-12-11T07:52:17Z |
| format | Article |
| id | doaj.art-faec60931c9243548758f277c728c2a8 |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-12-11T07:52:17Z |
| publishDate | 2019-04-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-faec60931c9243548758f277c728c2a82022-12-22T01:15:19ZengEtamaths 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 |
| 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 |
| title | 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_short | 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 |
| url | http://www.etamaths.com/index.php/ijaa/article/view/1858 |
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