2024/05/03 by Rizwan Anjum, Anjum, Rizwan, Mujahid Abbas +1
Computer Science · Mathematics · #Optimization and Variational Analysis #Fixed Point Theorems Analysis #Advanced Optimization Algorithms Research
paper · pdf · doi:10.48550/arxiv.2405.07999
In this note, we analyzed the concept of enriched nonexpansive which was proposed in "Approximating fixed points of enriched nonexpansive mappings by Krasnoselskij iteration in Hilbert spaces" (Carpathian J. Math., 35(2019), No. 3, 293-304.) Through our analysis, we conclude that the idea of enriched nonexpansive needs reconsideration, as it coincides with well known concept of nonexpansive. Our findings provide an insights into the existing literature and highlight the need for further investigations and clarifications in the existing literature on a metric-fixed point theory.