Approximate fixed points and fixed points for multi-valued almost E-contractions
In this paper, we introduce the concept of multi-valued almost E-contractions. We then present some approximate fixed point and fixed point results for such mappings in metric spaces. Our results generalize and improve several well-known results in literature. We also provide several illustrative ex...
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| Format: | Article |
| Language: | English |
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De Gruyter
2021-12-01
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| Series: | Topological Algebra and its Applications |
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| Online Access: | https://doi.org/10.1515/taa-2021-0100 |
| _version_ | 1818322846714167296 |
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| author | Hoc Nguyen Huu |
| author_facet | Hoc Nguyen Huu |
| author_sort | Hoc Nguyen Huu |
| collection | DOAJ |
| description | In this paper, we introduce the concept of multi-valued almost E-contractions. We then present some approximate fixed point and fixed point results for such mappings in metric spaces. Our results generalize and improve several well-known results in literature. We also provide several illustrative examples to compare our findings with some earlier results. An application to homotopy theory is given. |
| first_indexed | 2024-12-13T11:03:17Z |
| format | Article |
| id | doaj.art-e997c1eb7a624c4c8c787f88423fcebc |
| institution | Directory Open Access Journal |
| issn | 2299-3231 |
| language | English |
| last_indexed | 2024-12-13T11:03:17Z |
| publishDate | 2021-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Topological Algebra and its Applications |
| spelling | doaj.art-e997c1eb7a624c4c8c787f88423fcebc2022-12-21T23:49:12ZengDe GruyterTopological Algebra and its Applications2299-32312021-12-0191809510.1515/taa-2021-0100Approximate fixed points and fixed points for multi-valued almost E-contractionsHoc Nguyen Huu0Faculty of Natural Sciences, Hong Duc University, Thanh Hoa, VietnamIn this paper, we introduce the concept of multi-valued almost E-contractions. We then present some approximate fixed point and fixed point results for such mappings in metric spaces. Our results generalize and improve several well-known results in literature. We also provide several illustrative examples to compare our findings with some earlier results. An application to homotopy theory is given.https://doi.org/10.1515/taa-2021-0100approximate fixed pointsfixed pointsmulti-valued mappingse-contractionsalmost contractionshomotopy theory47h1054h25 |
| spellingShingle | Hoc Nguyen Huu Approximate fixed points and fixed points for multi-valued almost E-contractions Topological Algebra and its Applications approximate fixed points fixed points multi-valued mappings e-contractions almost contractions homotopy theory 47h10 54h25 |
| title | Approximate fixed points and fixed points for multi-valued almost E-contractions |
| title_full | Approximate fixed points and fixed points for multi-valued almost E-contractions |
| title_fullStr | Approximate fixed points and fixed points for multi-valued almost E-contractions |
| title_full_unstemmed | Approximate fixed points and fixed points for multi-valued almost E-contractions |
| title_short | Approximate fixed points and fixed points for multi-valued almost E-contractions |
| title_sort | approximate fixed points and fixed points for multi valued almost e contractions |
| topic | approximate fixed points fixed points multi-valued mappings e-contractions almost contractions homotopy theory 47h10 54h25 |
| url | https://doi.org/10.1515/taa-2021-0100 |
| work_keys_str_mv | AT hocnguyenhuu approximatefixedpointsandfixedpointsformultivaluedalmostecontractions |