A technique of tripled coincidence points for solving a system of nonlinear integral equations in POCML spaces

Abstract This manuscript aims to initiate some recent theoretical consequences related to tripled coincidence points for non-self mappings via the notion of C-type functions in partially ordered complete metric-like space (for short, POCML space). Our contributions unify and expand some previous stu...

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Main Authors: Hasanen A. Hammad, Manuel De La Sen
Format: Article
Language:English
Published: SpringerOpen 2020-08-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-020-02477-8
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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 Abstract This manuscript aims to initiate some recent theoretical consequences related to tripled coincidence points for non-self mappings via the notion of C-type functions in partially ordered complete metric-like space (for short, POCML space). Our contributions unify and expand some previous studies in this line. Moreover, some corollaries and suitable examples are presented to demonstrate the novelty of the results established. Ultimately, two applications are given here to boost our theoretical consequences, the first one about the contributions of the integral type to obtain a triple coincidence points and the other application is about solving a system of nonlinear integral equations.
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spelling doaj.art-4e21ac15293240f28b492cc6ba4cecd32022-12-22T00:21:33ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-08-012020112710.1186/s13660-020-02477-8A technique of tripled coincidence points for solving a system of nonlinear integral equations in POCML spacesHasanen A. Hammad0Manuel De La Sen1Department of Mathematics, Faculty of Science, Sohag UniversityInstitute of Research and Development of Processes, University of the Basque CountryAbstract This manuscript aims to initiate some recent theoretical consequences related to tripled coincidence points for non-self mappings via the notion of C-type functions in partially ordered complete metric-like space (for short, POCML space). Our contributions unify and expand some previous studies in this line. Moreover, some corollaries and suitable examples are presented to demonstrate the novelty of the results established. Ultimately, two applications are given here to boost our theoretical consequences, the first one about the contributions of the integral type to obtain a triple coincidence points and the other application is about solving a system of nonlinear integral equations.http://link.springer.com/article/10.1186/s13660-020-02477-8Tripled coincidence pointPartially ordered setMetric-like spacesNonlinear integral equations
spellingShingle Hasanen A. Hammad
Manuel De La Sen
A technique of tripled coincidence points for solving a system of nonlinear integral equations in POCML spaces
Journal of Inequalities and Applications
Tripled coincidence point
Partially ordered set
Metric-like spaces
Nonlinear integral equations
title A technique of tripled coincidence points for solving a system of nonlinear integral equations in POCML spaces
title_full A technique of tripled coincidence points for solving a system of nonlinear integral equations in POCML spaces
title_fullStr A technique of tripled coincidence points for solving a system of nonlinear integral equations in POCML spaces
title_full_unstemmed A technique of tripled coincidence points for solving a system of nonlinear integral equations in POCML spaces
title_short A technique of tripled coincidence points for solving a system of nonlinear integral equations in POCML spaces
title_sort technique of tripled coincidence points for solving a system of nonlinear integral equations in pocml spaces
topic Tripled coincidence point
Partially ordered set
Metric-like spaces
Nonlinear integral equations
url http://link.springer.com/article/10.1186/s13660-020-02477-8
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