Fixed point theorems for xi-alpha-eta-Gamma F-fuzzy contraction with an application to neutral fractional integro-differential equation with nonlocal conditions
In this study, we define a new fuzzy contraction principle, namely, the concept of ξ-α-η-Γ F-mappings, and prove the existence and uniqueness of the fixed point for such class of mappings. To further demonstrate the validity of our results, we furnish an application to neutral fractional integro-di...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2024-07-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/36099 |
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| author | Abdelhamid Moussaoui Fouad Abdou Ibrahim Amir Stojan Radenović Said Melliani Mhamed Elomari |
| author_facet | Abdelhamid Moussaoui Fouad Abdou Ibrahim Amir Stojan Radenović Said Melliani Mhamed Elomari |
| author_sort | Abdelhamid Moussaoui |
| collection | DOAJ |
| description |
In this study, we define a new fuzzy contraction principle, namely, the concept of ξ-α-η-Γ F-mappings, and prove the existence and uniqueness of the fixed point for such class of mappings. To further demonstrate the validity of our results, we furnish an application to neutral fractional integro-differential equations with nonlocal conditions. The presented results unify, generalize, and enhance a number of prior findings in the literature.
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| format | Article |
| id | doaj-art-6736b102e3794a11b53fe2d27b31a9ad |
| institution | OA Journals |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-6736b102e3794a11b53fe2d27b31a9ad2025-08-20T01:57:00ZengVilnius University PressNonlinear Analysis1392-51132335-89632024-07-0129510.15388/namc.2024.29.36099Fixed point theorems for xi-alpha-eta-Gamma F-fuzzy contraction with an application to neutral fractional integro-differential equation with nonlocal conditionsAbdelhamid Moussaoui0Fouad Abdou Ibrahim Amir1Stojan Radenović2Said Melliani3Mhamed Elomari4Sultan Moulay Slimane UniversitySultan Moulay Slimane UniversityUniversity of BelgradeSultan Moulay Slimane UniversitySultan Moulay Slimane University In this study, we define a new fuzzy contraction principle, namely, the concept of ξ-α-η-Γ F-mappings, and prove the existence and uniqueness of the fixed point for such class of mappings. To further demonstrate the validity of our results, we furnish an application to neutral fractional integro-differential equations with nonlocal conditions. The presented results unify, generalize, and enhance a number of prior findings in the literature. https://www.journals.vu.lt/nonlinear-analysis/article/view/36099fixed pointfuzzy metriccontractionfractional equation |
| spellingShingle | Abdelhamid Moussaoui Fouad Abdou Ibrahim Amir Stojan Radenović Said Melliani Mhamed Elomari Fixed point theorems for xi-alpha-eta-Gamma F-fuzzy contraction with an application to neutral fractional integro-differential equation with nonlocal conditions Nonlinear Analysis fixed point fuzzy metric contraction fractional equation |
| title | Fixed point theorems for xi-alpha-eta-Gamma F-fuzzy contraction with an application to neutral fractional integro-differential equation with nonlocal conditions |
| title_full | Fixed point theorems for xi-alpha-eta-Gamma F-fuzzy contraction with an application to neutral fractional integro-differential equation with nonlocal conditions |
| title_fullStr | Fixed point theorems for xi-alpha-eta-Gamma F-fuzzy contraction with an application to neutral fractional integro-differential equation with nonlocal conditions |
| title_full_unstemmed | Fixed point theorems for xi-alpha-eta-Gamma F-fuzzy contraction with an application to neutral fractional integro-differential equation with nonlocal conditions |
| title_short | Fixed point theorems for xi-alpha-eta-Gamma F-fuzzy contraction with an application to neutral fractional integro-differential equation with nonlocal conditions |
| title_sort | fixed point theorems for xi alpha eta gamma f fuzzy contraction with an application to neutral fractional integro differential equation with nonlocal conditions |
| topic | fixed point fuzzy metric contraction fractional equation |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/36099 |
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