Some new fixed point results for monotone enriched nonexpansive mappings in ordered Banach spaces
We study monotone enriched nonexpansive mappings and present some new existence and convergence theorems for these mappings in the setting of ordered Banach spaces. More precisely, we employ the Krasnosel'ski iterative method to approximate fixed points of enriched nonexpansive under different...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
ATNAA
2021-07-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/1831917 |
| _version_ | 1797913326457454592 |
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| author | Rahul Shukla Rajendra Pant |
| author_facet | Rahul Shukla Rajendra Pant |
| author_sort | Rahul Shukla |
| collection | DOAJ |
| description | We study monotone enriched nonexpansive mappings and present some new existence and convergence
theorems for these mappings in the setting of ordered Banach spaces. More precisely, we employ the Krasnosel'ski iterative method to approximate fixed points of enriched nonexpansive under different conditions.
This way a number of results from the literature have been extended, generalized and complemented. |
| first_indexed | 2024-04-10T12:10:07Z |
| format | Article |
| id | doaj.art-509dfe129496464c994b86f37f15ebf8 |
| institution | Directory Open Access Journal |
| issn | 2587-2648 |
| language | English |
| last_indexed | 2024-04-10T12:10:07Z |
| publishDate | 2021-07-01 |
| publisher | ATNAA |
| record_format | Article |
| series | Advances in the Theory of Nonlinear Analysis and its Applications |
| spelling | doaj.art-509dfe129496464c994b86f37f15ebf82023-02-15T16:16:03ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482021-07-015455956710.31197/atnaa.954446Some new fixed point results for monotone enriched nonexpansive mappings in ordered Banach spacesRahul ShuklaRajendra PantWe study monotone enriched nonexpansive mappings and present some new existence and convergence theorems for these mappings in the setting of ordered Banach spaces. More precisely, we employ the Krasnosel'ski iterative method to approximate fixed points of enriched nonexpansive under different conditions. This way a number of results from the literature have been extended, generalized and complemented.https://dergipark.org.tr/tr/download/article-file/1831917nonexpansive mappingenriched nonexpansive mappingbanach space |
| spellingShingle | Rahul Shukla Rajendra Pant Some new fixed point results for monotone enriched nonexpansive mappings in ordered Banach spaces Advances in the Theory of Nonlinear Analysis and its Applications nonexpansive mapping enriched nonexpansive mapping banach space |
| title | Some new fixed point results for monotone enriched nonexpansive mappings in ordered Banach spaces |
| title_full | Some new fixed point results for monotone enriched nonexpansive mappings in ordered Banach spaces |
| title_fullStr | Some new fixed point results for monotone enriched nonexpansive mappings in ordered Banach spaces |
| title_full_unstemmed | Some new fixed point results for monotone enriched nonexpansive mappings in ordered Banach spaces |
| title_short | Some new fixed point results for monotone enriched nonexpansive mappings in ordered Banach spaces |
| title_sort | some new fixed point results for monotone enriched nonexpansive mappings in ordered banach spaces |
| topic | nonexpansive mapping enriched nonexpansive mapping banach space |
| url | https://dergipark.org.tr/tr/download/article-file/1831917 |
| work_keys_str_mv | AT rahulshukla somenewfixedpointresultsformonotoneenrichednonexpansivemappingsinorderedbanachspaces AT rajendrapant somenewfixedpointresultsformonotoneenrichednonexpansivemappingsinorderedbanachspaces |