Abstract
AbstractWe study strong convergence of the Ishikawa iterates of qasi-nonexpansive (generalized nonexpansive) maps and some related results in uniformly convex metric spaces. Our work improves and generalizes the corresponding results existing in the literature for uniformly convex Banach spaces.
Highlights
Introduction and PreliminariesLet C be a nonempty subset of a metric space X, d and let T : C → C be a map
We study strong convergence of the Ishikawa iterates of qasi-nonexpansive generalized nonexpansive maps and some related results in uniformly convex metric spaces
In 1973, Goebel et al 8 proved that generalized nonexpansive self maps have fixed points in uniformly convex Banach spaces
Summary
Introduction and PreliminariesLet C be a nonempty subset of a metric space X, d and let T : C → C be a map. We study strong convergence of the Ishikawa iterates of qasi-nonexpansive generalized nonexpansive maps and some related results in uniformly convex metric spaces. Senter and Dotson 7 established convergence of Mann type iterates of quais-nonexpansive maps under a condition in uniformly convex Banach spaces.
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