Convergence of Mann and Ishikawa Iterative Processes for Some Contractions in Convex Generalized Metric Space

Kouch, Youness El; Mouline, Jamal

doi:10.1155/2022/3168414

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2023

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“…Ahmad et al [31] presented some convergence results on Picard-Krasnoselskii hybrid iterative process in CAT(0) spaces. More recently, El Kouch and Mouline [32] studied convergence of Mann and Ishikawa iterative processes for some contractions in convex generalized metric space.…”

Section: Introductionmentioning

confidence: 99%

Iteration Scheme for Approximating Fixed Points of G-Nonexpansive Maps on Banach Spaces via a Digraph

Yolacan

2023

JSR-A

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In this writing, an influential modified multistep iterative process for finding a common fixed point of G-nonexpansive maps is presented. Some convergence theorems are constructed by Property P for the recommended schema on Banach spaces by which digraph. Two numerical examples are given to illustrate the convergence behavior and the validity of the process. The achieved conclusions enlarge, generalise and complement some well-known fixed point results from the literature.

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Section: Introductionmentioning

confidence: 99%

Iteration Scheme for Approximating Fixed Points of G-Nonexpansive Maps on Banach Spaces via a Digraph

Yolacan

2023

JSR-A

View full text Add to dashboard Cite

show abstract

Convergence of Mann and Ishikawa Iterative Processes for Some Contractions in Convex Generalized Metric Space

Abstract: In this paper, we consider a JS metric space endowed with convexity structure, which will allow us to examine and study convergence of Mann iteration and Ishikawa iteration for Banach type and Chatterjea type contractions defined on JS metric space.

Cited by 1 publication

References 23 publications

Iteration Scheme for Approximating Fixed Points of G-Nonexpansive Maps on Banach Spaces via a Digraph

Iteration Scheme for Approximating Fixed Points of G-Nonexpansive Maps on Banach Spaces via a Digraph

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