The nonlinear contraction in probabilistic cone b-metric spaces with application to integral equation
The probabilistic cone b-metric space is a novel concept that we describe in this study along with some of its fundamental topological properties and instances. We also established the fixed point theorem for the probabilistic nonlinear Banach contraction mapping on this kind of spaces. Many prior...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2024-04-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/35180 |
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| _version_ | 1849683965505437696 |
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| author | Youssef Achtoun Stojan Radenović Ismail Tahiri Mohammed Lamarti Sefian |
| author_facet | Youssef Achtoun Stojan Radenović Ismail Tahiri Mohammed Lamarti Sefian |
| author_sort | Youssef Achtoun |
| collection | DOAJ |
| description |
The probabilistic cone b-metric space is a novel concept that we describe in this study along with some of its fundamental topological properties and instances. We also established the fixed point theorem for the probabilistic nonlinear Banach contraction mapping on this kind of spaces. Many prior findings in the literature are generalized and unified by our findings. In order to illustrate the basic theorem in ordinary cone b-metric spaces, some related findings are also provided with an application to integral equation.
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| format | Article |
| id | doaj-art-cbb2234c892d4cd5abdf3d89f5b48399 |
| institution | DOAJ |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2024-04-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-cbb2234c892d4cd5abdf3d89f5b483992025-08-20T03:23:37ZengVilnius University PressNonlinear Analysis1392-51132335-89632024-04-0129410.15388/namc.2024.29.35180The nonlinear contraction in probabilistic cone b-metric spaces with application to integral equationYoussef Achtoun0https://orcid.org/0009-0005-5334-2383Stojan Radenović1https://orcid.org/0000-0001-8254-6688Ismail Tahiri2https://orcid.org/0000-0002-7723-3721Mohammed Lamarti Sefian3https://orcid.org/0000-0001-8270-2660Abdelmalek Essaadi UniversityUniversity of BelgradeAbdelmalek Essaadi UniversityAbdelmalek Essaadi University The probabilistic cone b-metric space is a novel concept that we describe in this study along with some of its fundamental topological properties and instances. We also established the fixed point theorem for the probabilistic nonlinear Banach contraction mapping on this kind of spaces. Many prior findings in the literature are generalized and unified by our findings. In order to illustrate the basic theorem in ordinary cone b-metric spaces, some related findings are also provided with an application to integral equation. https://www.journals.vu.lt/nonlinear-analysis/article/view/35180probabilistic cone b-metric spacesfixed pointphi-contractionintegral equation |
| spellingShingle | Youssef Achtoun Stojan Radenović Ismail Tahiri Mohammed Lamarti Sefian The nonlinear contraction in probabilistic cone b-metric spaces with application to integral equation Nonlinear Analysis probabilistic cone b-metric spaces fixed point phi-contraction integral equation |
| title | The nonlinear contraction in probabilistic cone b-metric spaces with application to integral equation |
| title_full | The nonlinear contraction in probabilistic cone b-metric spaces with application to integral equation |
| title_fullStr | The nonlinear contraction in probabilistic cone b-metric spaces with application to integral equation |
| title_full_unstemmed | The nonlinear contraction in probabilistic cone b-metric spaces with application to integral equation |
| title_short | The nonlinear contraction in probabilistic cone b-metric spaces with application to integral equation |
| title_sort | nonlinear contraction in probabilistic cone b metric spaces with application to integral equation |
| topic | probabilistic cone b-metric spaces fixed point phi-contraction integral equation |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/35180 |
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