Stability Results for Enriched Contraction Mappings in Convex Metric Spaces
In this paper, we obtain some stability results of fixed point sets for a sequence of enriched contraction mappings in the setting of convex metric spaces. In particular, two types of convergence of mappings, namely, G-convergence and H-convergence are considered. We also illustrate our results by a...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2022/5695286 |
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| _version_ | 1849434797241270272 |
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| author | Rekha Panicker Rahul Shukla |
| author_facet | Rekha Panicker Rahul Shukla |
| author_sort | Rekha Panicker |
| collection | DOAJ |
| description | In this paper, we obtain some stability results of fixed point sets for a sequence of enriched contraction mappings in the setting of convex metric spaces. In particular, two types of convergence of mappings, namely, G-convergence and H-convergence are considered. We also illustrate our results by an application to an initial value problem for an ordinary differential equation. |
| format | Article |
| id | doaj-art-e3cd5fab579145efbd8b46b5c844bf9e |
| institution | Kabale University |
| issn | 1687-0409 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e3cd5fab579145efbd8b46b5c844bf9e2025-08-20T03:26:31ZengWileyAbstract and Applied Analysis1687-04092022-01-01202210.1155/2022/5695286Stability Results for Enriched Contraction Mappings in Convex Metric SpacesRekha Panicker0Rahul Shukla1Department of Mathematical Sciences and ComputingDepartment of Mathematical Sciences and ComputingIn this paper, we obtain some stability results of fixed point sets for a sequence of enriched contraction mappings in the setting of convex metric spaces. In particular, two types of convergence of mappings, namely, G-convergence and H-convergence are considered. We also illustrate our results by an application to an initial value problem for an ordinary differential equation.http://dx.doi.org/10.1155/2022/5695286 |
| spellingShingle | Rekha Panicker Rahul Shukla Stability Results for Enriched Contraction Mappings in Convex Metric Spaces Abstract and Applied Analysis |
| title | Stability Results for Enriched Contraction Mappings in Convex Metric Spaces |
| title_full | Stability Results for Enriched Contraction Mappings in Convex Metric Spaces |
| title_fullStr | Stability Results for Enriched Contraction Mappings in Convex Metric Spaces |
| title_full_unstemmed | Stability Results for Enriched Contraction Mappings in Convex Metric Spaces |
| title_short | Stability Results for Enriched Contraction Mappings in Convex Metric Spaces |
| title_sort | stability results for enriched contraction mappings in convex metric spaces |
| url | http://dx.doi.org/10.1155/2022/5695286 |
| work_keys_str_mv | AT rekhapanicker stabilityresultsforenrichedcontractionmappingsinconvexmetricspaces AT rahulshukla stabilityresultsforenrichedcontractionmappingsinconvexmetricspaces |