Some generalizations of Darbo's fixed point theorem under weak topology features with application to a Volterra-type integral equation
In this paper, we provide some generalizations of Darbo's fixed point theorem for larger classes of contraction. Our results are investigated under the weak topology of a Banach space using the measure of weak noncompactness. The results presented in the paper generalize and extend several well...
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| Format: | Article |
| Language: | English |
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Universitat Politècnica de València
2025-04-01
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| Series: | Applied General Topology |
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| Online Access: | https://polipapers.upv.es/index.php/AGT/article/view/20505 |
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| author | Mohamed Khazou Abdelmjid Khchine |
| author_facet | Mohamed Khazou Abdelmjid Khchine |
| author_sort | Mohamed Khazou |
| collection | DOAJ |
| description | In this paper, we provide some generalizations of Darbo's fixed point theorem for larger classes of contraction. Our results are investigated under the weak topology of a Banach space using the measure of weak noncompactness. The results presented in the paper generalize and extend several well-known comparable results in the literature. Further, We illustrate the applicability of our theoretical findings by studying the existence of solutions for a coupled of nonlinear Volterra-type integral equations. |
| format | Article |
| id | doaj-art-0a9fc096fd0248599c0a6716f44f7a92 |
| institution | Kabale University |
| issn | 1576-9402 1989-4147 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj-art-0a9fc096fd0248599c0a6716f44f7a922025-08-20T03:44:36ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472025-04-01261517010.4995/agt.2025.2050519698Some generalizations of Darbo's fixed point theorem under weak topology features with application to a Volterra-type integral equationMohamed Khazou0https://orcid.org/0000-0002-2133-6406Abdelmjid Khchine1https://orcid.org/0000-0002-6025-0007Cadi Ayyad University Cadi Ayyad University In this paper, we provide some generalizations of Darbo's fixed point theorem for larger classes of contraction. Our results are investigated under the weak topology of a Banach space using the measure of weak noncompactness. The results presented in the paper generalize and extend several well-known comparable results in the literature. Further, We illustrate the applicability of our theoretical findings by studying the existence of solutions for a coupled of nonlinear Volterra-type integral equations.https://polipapers.upv.es/index.php/AGT/article/view/20505weak-topologymeasure of weak noncompactnessvolterra-type integral equationsfixed point theoremcoupled fixed pointweakly sequentially continuous operatorws-compact operator |
| spellingShingle | Mohamed Khazou Abdelmjid Khchine Some generalizations of Darbo's fixed point theorem under weak topology features with application to a Volterra-type integral equation Applied General Topology weak-topology measure of weak noncompactness volterra-type integral equations fixed point theorem coupled fixed point weakly sequentially continuous operator ws-compact operator |
| title | Some generalizations of Darbo's fixed point theorem under weak topology features with application to a Volterra-type integral equation |
| title_full | Some generalizations of Darbo's fixed point theorem under weak topology features with application to a Volterra-type integral equation |
| title_fullStr | Some generalizations of Darbo's fixed point theorem under weak topology features with application to a Volterra-type integral equation |
| title_full_unstemmed | Some generalizations of Darbo's fixed point theorem under weak topology features with application to a Volterra-type integral equation |
| title_short | Some generalizations of Darbo's fixed point theorem under weak topology features with application to a Volterra-type integral equation |
| title_sort | some generalizations of darbo s fixed point theorem under weak topology features with application to a volterra type integral equation |
| topic | weak-topology measure of weak noncompactness volterra-type integral equations fixed point theorem coupled fixed point weakly sequentially continuous operator ws-compact operator |
| url | https://polipapers.upv.es/index.php/AGT/article/view/20505 |
| work_keys_str_mv | AT mohamedkhazou somegeneralizationsofdarbosfixedpointtheoremunderweaktopologyfeatureswithapplicationtoavolterratypeintegralequation AT abdelmjidkhchine somegeneralizationsofdarbosfixedpointtheoremunderweaktopologyfeatureswithapplicationtoavolterratypeintegralequation |