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

Handle

https://riunet.upv.es/handle/10251/221840

Cita bibliográfica

Agwu, IK.; Saleem, N.; Isthiaq, U. (2025). 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. Applied General Topology. 26(1):1-27. https://doi.org/10.4995/agt.2025.17595

Titulación

Resumen

[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.

Fuente

Applied General Topology issn: 1576-9402

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