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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Format: | Article |
Language: | English |
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SpringerOpen
2020-08-01
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Series: | Journal of Inequalities and Applications |
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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. |
first_indexed | 2024-12-12T14:30:08Z |
format | Article |
id | doaj.art-4e21ac15293240f28b492cc6ba4cecd3 |
institution | Directory Open Access Journal |
issn | 1029-242X |
language | English |
last_indexed | 2024-12-12T14:30:08Z |
publishDate | 2020-08-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of Inequalities and Applications |
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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