Non-Expansive Multi-Valued Mappings and Convexity in Fuzzy Metric Space
In this article, we delve into the concept of convexity within fuzzy metric spaces and delve into their structural characteristics. We present several theorems concerning the existence of coincidence points in fuzzy convex metric spaces. Furthermore, we introduce the notion of star-shaped subsets wi...
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| Language: | English |
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University of Maragheh
2024-07-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_710539_d7008ea5a7481fc0077b3d9b2d146437.pdf |
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| author | Mohammad Rashid |
| author_facet | Mohammad Rashid |
| author_sort | Mohammad Rashid |
| collection | DOAJ |
| description | In this article, we delve into the concept of convexity within fuzzy metric spaces and delve into their structural characteristics. We present several theorems concerning the existence of coincidence points in fuzzy convex metric spaces. Furthermore, we introduce the notion of star-shaped subsets within fuzzy convex metric spaces. Within these star-shaped subsets, we showcase various fixed point theorems for mappings of the non-expansive type that commute. In the final section, we expand the definition of fuzzy convex metric spaces and provide a significant example of such a space. Additionally, we uncover specific fixed point theorems applicable to multi-valued mappings that are non-expansive. |
| format | Article |
| id | doaj-art-81be13ed9bcd4a8bb1588ffba847d6ee |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-81be13ed9bcd4a8bb1588ffba847d6ee2025-02-11T05:27:31ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-07-012138911010.22130/scma.2023.2001121.1309710539Non-Expansive Multi-Valued Mappings and Convexity in Fuzzy Metric SpaceMohammad Rashid0Department of Mathematics\& Statistics, Faculty of Science P.O. Box(7), Mu'tah University, Alkarak, Jordan.In this article, we delve into the concept of convexity within fuzzy metric spaces and delve into their structural characteristics. We present several theorems concerning the existence of coincidence points in fuzzy convex metric spaces. Furthermore, we introduce the notion of star-shaped subsets within fuzzy convex metric spaces. Within these star-shaped subsets, we showcase various fixed point theorems for mappings of the non-expansive type that commute. In the final section, we expand the definition of fuzzy convex metric spaces and provide a significant example of such a space. Additionally, we uncover specific fixed point theorems applicable to multi-valued mappings that are non-expansive.https://scma.maragheh.ac.ir/article_710539_d7008ea5a7481fc0077b3d9b2d146437.pdfpm-spacesfixed pointcoincidence pointsnon-expansive mappingsconvex structure |
| spellingShingle | Mohammad Rashid Non-Expansive Multi-Valued Mappings and Convexity in Fuzzy Metric Space Sahand Communications in Mathematical Analysis pm-spaces fixed point coincidence points non-expansive mappings convex structure |
| title | Non-Expansive Multi-Valued Mappings and Convexity in Fuzzy Metric Space |
| title_full | Non-Expansive Multi-Valued Mappings and Convexity in Fuzzy Metric Space |
| title_fullStr | Non-Expansive Multi-Valued Mappings and Convexity in Fuzzy Metric Space |
| title_full_unstemmed | Non-Expansive Multi-Valued Mappings and Convexity in Fuzzy Metric Space |
| title_short | Non-Expansive Multi-Valued Mappings and Convexity in Fuzzy Metric Space |
| title_sort | non expansive multi valued mappings and convexity in fuzzy metric space |
| topic | pm-spaces fixed point coincidence points non-expansive mappings convex structure |
| url | https://scma.maragheh.ac.ir/article_710539_d7008ea5a7481fc0077b3d9b2d146437.pdf |
| work_keys_str_mv | AT mohammadrashid nonexpansivemultivaluedmappingsandconvexityinfuzzymetricspace |