Fixed-Point Results with Applications in Generalized Neutrosophic Rectangular <i>b</i>-Metric Spaces
In this paper, we introduce several new concepts: generalized neutrosophic rectangular <i>b</i>-metric-like spaces (GNRBMLSs), generalized intuitionistic rectangular <i>b</i>-metric-like spaces (GIRBMLSs), and generalized fuzzy rectangular <i>b</i>-metric-like spa...
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2024-11-01
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| author | Nawab Hussain Nawal Alharbi Ghada Basendwah |
| author_facet | Nawab Hussain Nawal Alharbi Ghada Basendwah |
| author_sort | Nawab Hussain |
| collection | DOAJ |
| description | In this paper, we introduce several new concepts: generalized neutrosophic rectangular <i>b</i>-metric-like spaces (GNRBMLSs), generalized intuitionistic rectangular <i>b</i>-metric-like spaces (GIRBMLSs), and generalized fuzzy rectangular <i>b</i>-metric-like spaces (GFRBMLSs). These innovative spaces can expand various topological spaces, including neutrosophic rectangular extended <i>b</i>-metric-like spaces, intuitionistic fuzzy rectangular extended <i>b</i>-metric-like spaces, and fuzzy rectangular extended <i>b</i>-metric-like spaces. Moreover, we establish Banach’s fixed point theorem and Ćirić’s quasi-contraction theorem with respect to these spaces, and we explore an application regarding the existence and uniqueness of solutions for fuzzy fractional delay integro-differential equations, as derived from our main results. |
| format | Article |
| id | doaj-art-f8ca0c8d724a4e1b80123113bf419be2 |
| institution | OA Journals |
| issn | 2075-1680 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-f8ca0c8d724a4e1b80123113bf419be22025-08-20T02:00:51ZengMDPI AGAxioms2075-16802024-11-01131281810.3390/axioms13120818Fixed-Point Results with Applications in Generalized Neutrosophic Rectangular <i>b</i>-Metric SpacesNawab Hussain0Nawal Alharbi1Ghada Basendwah2Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaIn this paper, we introduce several new concepts: generalized neutrosophic rectangular <i>b</i>-metric-like spaces (GNRBMLSs), generalized intuitionistic rectangular <i>b</i>-metric-like spaces (GIRBMLSs), and generalized fuzzy rectangular <i>b</i>-metric-like spaces (GFRBMLSs). These innovative spaces can expand various topological spaces, including neutrosophic rectangular extended <i>b</i>-metric-like spaces, intuitionistic fuzzy rectangular extended <i>b</i>-metric-like spaces, and fuzzy rectangular extended <i>b</i>-metric-like spaces. Moreover, we establish Banach’s fixed point theorem and Ćirić’s quasi-contraction theorem with respect to these spaces, and we explore an application regarding the existence and uniqueness of solutions for fuzzy fractional delay integro-differential equations, as derived from our main results.https://www.mdpi.com/2075-1680/13/12/818generalized neutrosophic rectangular <i>b</i>-metric-like spacegeneralized intuitionistic rectangular <i>b</i>-metric-like spacegeneralized fuzzy rectangular <i>b</i>-metric-like spacefuzzy fixed pointfuzzy fractional delay integro-differential equations |
| spellingShingle | Nawab Hussain Nawal Alharbi Ghada Basendwah Fixed-Point Results with Applications in Generalized Neutrosophic Rectangular <i>b</i>-Metric Spaces Axioms generalized neutrosophic rectangular <i>b</i>-metric-like space generalized intuitionistic rectangular <i>b</i>-metric-like space generalized fuzzy rectangular <i>b</i>-metric-like space fuzzy fixed point fuzzy fractional delay integro-differential equations |
| title | Fixed-Point Results with Applications in Generalized Neutrosophic Rectangular <i>b</i>-Metric Spaces |
| title_full | Fixed-Point Results with Applications in Generalized Neutrosophic Rectangular <i>b</i>-Metric Spaces |
| title_fullStr | Fixed-Point Results with Applications in Generalized Neutrosophic Rectangular <i>b</i>-Metric Spaces |
| title_full_unstemmed | Fixed-Point Results with Applications in Generalized Neutrosophic Rectangular <i>b</i>-Metric Spaces |
| title_short | Fixed-Point Results with Applications in Generalized Neutrosophic Rectangular <i>b</i>-Metric Spaces |
| title_sort | fixed point results with applications in generalized neutrosophic rectangular i b i metric spaces |
| topic | generalized neutrosophic rectangular <i>b</i>-metric-like space generalized intuitionistic rectangular <i>b</i>-metric-like space generalized fuzzy rectangular <i>b</i>-metric-like space fuzzy fixed point fuzzy fractional delay integro-differential equations |
| url | https://www.mdpi.com/2075-1680/13/12/818 |
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