Fixed point approximations via generalized MR-Kannan mappings in Banach spaces
In this paper, we introduce a generalization of the concept of MR-Kannan type contractions and utilize this condition to derive new fixed point theorems under both contractive and non-contractive conditions. Our approach enhances various existing results related to enriched mappings.
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| Format: | Article |
| Language: | English |
| Published: |
Universitat Politècnica de València
2024-04-01
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| Series: | Applied General Topology |
| Subjects: | |
| Online Access: | https://polipapers.upv.es/index.php/AGT/article/view/20224 |
| _version_ | 1797216319215501312 |
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| author | Ravindra K. Bisht Jay Singh |
| author_facet | Ravindra K. Bisht Jay Singh |
| author_sort | Ravindra K. Bisht |
| collection | DOAJ |
| description | In this paper, we introduce a generalization of the concept of MR-Kannan type contractions and utilize this condition to derive new fixed point theorems under both contractive and non-contractive conditions. Our approach enhances various existing results related to enriched mappings. |
| first_indexed | 2024-04-24T11:44:04Z |
| format | Article |
| id | doaj.art-b13bf979fe9744d89d77706ab2ec9bdf |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-04-24T11:44:04Z |
| publishDate | 2024-04-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-b13bf979fe9744d89d77706ab2ec9bdf2024-04-09T12:09:01ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472024-04-01251717710.4995/agt.2024.2022419417Fixed point approximations via generalized MR-Kannan mappings in Banach spacesRavindra K. Bisht0Jay Singh1National Defence AcademyGovernment Post Graduate College BazpurIn this paper, we introduce a generalization of the concept of MR-Kannan type contractions and utilize this condition to derive new fixed point theorems under both contractive and non-contractive conditions. Our approach enhances various existing results related to enriched mappings.https://polipapers.upv.es/index.php/AGT/article/view/20224completenessasymptotic regularityaveraged mappingfixed pointulam-hyers stabilitywell-posedness |
| spellingShingle | Ravindra K. Bisht Jay Singh Fixed point approximations via generalized MR-Kannan mappings in Banach spaces Applied General Topology completeness asymptotic regularity averaged mapping fixed point ulam-hyers stability well-posedness |
| title | Fixed point approximations via generalized MR-Kannan mappings in Banach spaces |
| title_full | Fixed point approximations via generalized MR-Kannan mappings in Banach spaces |
| title_fullStr | Fixed point approximations via generalized MR-Kannan mappings in Banach spaces |
| title_full_unstemmed | Fixed point approximations via generalized MR-Kannan mappings in Banach spaces |
| title_short | Fixed point approximations via generalized MR-Kannan mappings in Banach spaces |
| title_sort | fixed point approximations via generalized mr kannan mappings in banach spaces |
| topic | completeness asymptotic regularity averaged mapping fixed point ulam-hyers stability well-posedness |
| url | https://polipapers.upv.es/index.php/AGT/article/view/20224 |
| work_keys_str_mv | AT ravindrakbisht fixedpointapproximationsviageneralizedmrkannanmappingsinbanachspaces AT jaysingh fixedpointapproximationsviageneralizedmrkannanmappingsinbanachspaces |