Generalization of Banach Contraction Principle for Prešić’s Type Mappings in Soft Metric Spaces
The objective of this paper is to highlight the idea of $k$-weakly and $2k$-weakly soft compatible mappings and their utilization in proving the main results. For this aim, we establish some fixed point results for the Pre\v{s}i\'{c}'s type contractive mappings in the context of soft metri...
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University of Maragheh
2024-03-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_709295_2a91ec28478ae25a3298c1eff985d038.pdf |
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| author | Bijender Singh Vizender Singh Özlem Acar |
| author_facet | Bijender Singh Vizender Singh Özlem Acar |
| author_sort | Bijender Singh |
| collection | DOAJ |
| description | The objective of this paper is to highlight the idea of $k$-weakly and $2k$-weakly soft compatible mappings and their utilization in proving the main results. For this aim, we establish some fixed point results for the Pre\v{s}i\'{c}'s type contractive mappings in the context of soft metric spaces, when the set of the parameter is finite. Also we give an example to show that the condition of finiteness on the set of parameter can't be omitted. Some examples are given to support main findings of this article. Finally, an application of a soft version of BCP in iterated soft function systems is established. |
| format | Article |
| id | doaj-art-ebe95b24ef2a4d0fbff77aaf0259f1ec |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-ebe95b24ef2a4d0fbff77aaf0259f1ec2025-02-11T05:24:46ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-03-012128310310.22130/scma.2023.1978408.1212709295Generalization of Banach Contraction Principle for Prešić’s Type Mappings in Soft Metric SpacesBijender Singh0Vizender Singh1Özlem Acar2Department of Mathematics, Research Scholar, Guru Jambheshwar University of Science and Technology, Hisar, 125001, Haryana, India.Directorate of Distance Education, Faculty of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar, 125001, Haryana, India.Department of Mathematics, Faculty of Science, Sel\c{c}uk University, 42003, Konya, T\"{u}rkiye.The objective of this paper is to highlight the idea of $k$-weakly and $2k$-weakly soft compatible mappings and their utilization in proving the main results. For this aim, we establish some fixed point results for the Pre\v{s}i\'{c}'s type contractive mappings in the context of soft metric spaces, when the set of the parameter is finite. Also we give an example to show that the condition of finiteness on the set of parameter can't be omitted. Some examples are given to support main findings of this article. Finally, an application of a soft version of BCP in iterated soft function systems is established.https://scma.maragheh.ac.ir/article_709295_2a91ec28478ae25a3298c1eff985d038.pdfsoft setsoft mappingsoft metric spacesoft contractionsoft pointfixed point of soft mapping |
| spellingShingle | Bijender Singh Vizender Singh Özlem Acar Generalization of Banach Contraction Principle for Prešić’s Type Mappings in Soft Metric Spaces Sahand Communications in Mathematical Analysis soft set soft mapping soft metric space soft contraction soft point fixed point of soft mapping |
| title | Generalization of Banach Contraction Principle for Prešić’s Type Mappings in Soft Metric Spaces |
| title_full | Generalization of Banach Contraction Principle for Prešić’s Type Mappings in Soft Metric Spaces |
| title_fullStr | Generalization of Banach Contraction Principle for Prešić’s Type Mappings in Soft Metric Spaces |
| title_full_unstemmed | Generalization of Banach Contraction Principle for Prešić’s Type Mappings in Soft Metric Spaces |
| title_short | Generalization of Banach Contraction Principle for Prešić’s Type Mappings in Soft Metric Spaces |
| title_sort | generalization of banach contraction principle for presic s type mappings in soft metric spaces |
| topic | soft set soft mapping soft metric space soft contraction soft point fixed point of soft mapping |
| url | https://scma.maragheh.ac.ir/article_709295_2a91ec28478ae25a3298c1eff985d038.pdf |
| work_keys_str_mv | AT bijendersingh generalizationofbanachcontractionprincipleforpresicstypemappingsinsoftmetricspaces AT vizendersingh generalizationofbanachcontractionprincipleforpresicstypemappingsinsoftmetricspaces AT ozlemacar generalizationofbanachcontractionprincipleforpresicstypemappingsinsoftmetricspaces |