Affiliation:
1. Department of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South Africa
Abstract
This paper introduces a novel category of nonlinear mappings and provides several theorems on their existence and convergence in Banach spaces, subject to various assumptions. Moreover, we obtain convergence theorems concerning iterates of
-Krasnosel’skiĭ mapping associated with the newly defined class of mappings. Further, we present that
-Krasnosel’skiĭ mapping associated with
-enriched quasinonexpansive mapping is asymptotically regular. Furthermore, some new convergence theorems concerning
-enriched quasinonexpansive mappings have been proved.
Subject
Applied Mathematics,Analysis