Soft Fixed Point Theorems for the Soft Comparable Contractions
In this article, we introduce the notions of a soft inf-comparable contraction and soft comparable Meir-Keeler contraction in a soft metric space. Furthermore, we prove two soft fixed point theorems which assure the existence of soft fixed points for these two types of comparable contractions. The o...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5554510 |
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| _version_ | 1832559794170363904 |
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| author | Chi-Ming Chen Zhi-Hao Xu Erdal Karapinar |
| author_facet | Chi-Ming Chen Zhi-Hao Xu Erdal Karapinar |
| author_sort | Chi-Ming Chen |
| collection | DOAJ |
| description | In this article, we introduce the notions of a soft inf-comparable contraction and soft comparable Meir-Keeler contraction in a soft metric space. Furthermore, we prove two soft fixed point theorems which assure the existence of soft fixed points for these two types of comparable contractions. The obtained results not only generalize but also unify many recent fixed point results in the literature. |
| format | Article |
| id | doaj-art-d65d3c9a082d4fcd877c569c083b7d1e |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d65d3c9a082d4fcd877c569c083b7d1e2025-02-03T01:29:19ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55545105554510Soft Fixed Point Theorems for the Soft Comparable ContractionsChi-Ming Chen0Zhi-Hao Xu1Erdal Karapinar2Institute for Computational and Modeling Science, National Tsing Hua University, TaiwanInstitute for Computational and Modeling Science, National Tsing Hua University, TaiwanDivision of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, VietnamIn this article, we introduce the notions of a soft inf-comparable contraction and soft comparable Meir-Keeler contraction in a soft metric space. Furthermore, we prove two soft fixed point theorems which assure the existence of soft fixed points for these two types of comparable contractions. The obtained results not only generalize but also unify many recent fixed point results in the literature.http://dx.doi.org/10.1155/2021/5554510 |
| spellingShingle | Chi-Ming Chen Zhi-Hao Xu Erdal Karapinar Soft Fixed Point Theorems for the Soft Comparable Contractions Journal of Function Spaces |
| title | Soft Fixed Point Theorems for the Soft Comparable Contractions |
| title_full | Soft Fixed Point Theorems for the Soft Comparable Contractions |
| title_fullStr | Soft Fixed Point Theorems for the Soft Comparable Contractions |
| title_full_unstemmed | Soft Fixed Point Theorems for the Soft Comparable Contractions |
| title_short | Soft Fixed Point Theorems for the Soft Comparable Contractions |
| title_sort | soft fixed point theorems for the soft comparable contractions |
| url | http://dx.doi.org/10.1155/2021/5554510 |
| work_keys_str_mv | AT chimingchen softfixedpointtheoremsforthesoftcomparablecontractions AT zhihaoxu softfixedpointtheoremsforthesoftcomparablecontractions AT erdalkarapinar softfixedpointtheoremsforthesoftcomparablecontractions |