A note on: Convergence theorems for uniformly L-Lipschitzian Asymptotically Nonexpansive mappings, Acta Universitatis Apulensis, no. 20/2009, 183-192
Eric U. Ofoedu
TL;DR
This paper aims to correct misconceptions in a previous work on convergence theorems related to uniformly L-Lipschitzian asymptotically nonexpansive mappings, clarifying the theoretical understanding in this area.
Contribution
It provides a correction and clarification of earlier results on convergence theorems for specific classes of nonexpansive mappings.
Findings
Identifies and rectifies inaccuracies in prior convergence theorems
Clarifies the conditions under which convergence holds
Strengthens the theoretical foundation for nonexpansive mappings
Abstract
It is our aim in this article to correct the wrong impression created in the paper of A. Rafiq titled: "Convergence theorems for uniformly L-Lipschitzian Asymptotically Nonexpansive mappings" which appeared in Acta Universitatis Apulensis no. 20/2009, 183-192.
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Taxonomy
TopicsOptimization and Variational Analysis · Fixed Point Theorems Analysis · Nonlinear Differential Equations Analysis