Estimation of newly established iterative scheme for generalized nonexpansive mappings
type: Item
instance of: scholarly article
title: Estimation of newly established iterative scheme for generalized nonexpansive mappings
zbMATH Open document ID: 1505.47110
DOI: 10.1155/2021/6675979
author: Aftab Hussain
author: Nawab Hussain
author: Danish Ali
published in: Journal of Function Spaces
publication date: 2021-05-04T00:00:00Z
review text: Summary: We introduce a new iterative method in this article, called the \(D\) iterative approach for fixed point approximation. Analytically, and also numerically, we demonstrate that our established \(D\) I.P is faster than the well-known I.P of the prior art. Finally, in a uniformly convex Banach space environment, we present weak as well as strong convergence theorems for Suzuki's generalized nonexpansive maps. Our findings are an extension, refinement, and induction of several existing iterative literatures.
Mathematics Subject Classification ID: 47J26
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 7343385
zbMATH Keywords: weak convergence
zbMATH Keywords: \(D\) iterative fixed point approximation
zbMATH Keywords: uniformly convex Banach space
zbMATH Keywords: strong convergence
zbMATH Keywords: Suzuki's generalized nonexpansive maps
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6675979
OpenAlex ID: W3134878956
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description: scientific article; zbMATH DE number 7343385