A new modified mixed-type Ishikawa iteration scheme with error for common fixed points of enriched strictly pseudocontractive self mappings and ΦΓ-enriched Lipschitzian self mappings in uniformly convex Banach spaces
[EN] LetEbe a uniformly convex Banach space andCa nonempty closed boundedconvex subset ofE. LetΓ :C−→CandG:C−→Cbe enriched strictly pseu-docontractive mapping andΦΓ-enriched Lipschitzian mapping respectively. Weintroduce the above two mappings in uniformly convex Banach space and there-after prove t...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/221840 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/221840 |
| Access Level: | acceso abierto |
| Palabra clave: | Enriched strictly pseudocontractive mapping Phi-enriched Lipschitz self-mapping Modified Ishikawa iteration Common Fixed Point Uniformly Convex Banach Space Strong Convergence Mixed-type iteration schemes Fixed point iterative methods Nonlinear iteration schemes |
| Sumario: | [EN] LetEbe a uniformly convex Banach space andCa nonempty closed boundedconvex subset ofE. LetΓ :C−→CandG:C−→Cbe enriched strictly pseu-docontractive mapping andΦΓ-enriched Lipschitzian mapping respectively. Weintroduce the above two mappings in uniformly convex Banach space and there-after prove that a new modified mixed-type lshikawa iteration scheme convergesstrongly to the common fixed points ofΓandG. In addition, we incorporateerror terms to enhance the convergence of the method and also to improve thestability and robustness of the method. Our results extend and generalize theresults obtained in[5]and so many other recent results currently existing inliterature. |
|---|