Weak and strong convergence theorems for generalized nonexpansive\n mappings

2014/03/21 by Safeer Hussain Khan, Khan, Safeer Hussain, İbrahim Karahan +1
Computer Science · Mathematics · #Optimization and Variational Analysis #Advanced Banach Space Theory #Fixed Point Theorems Analysis

paper · pdf · doi:10.48550/arxiv.1403.5437

Abstract

We consider a class of generalized nonexpansive mappings introduced by\nKarapinar [5] and seen as a generalization of Suzuki (C)-condition. We prove\nsome weak and strong convergence theorems for approximating fixed points of\nsuch mappings under suitable conditions in uniformly convex Banach spaces. Our\nresults generalize those of Khan and Suzuki [4] to the case of this kind of\nmappings and, in turn, are related to a famous convergence theorem of Reich [2]\non nonexpansive mappings.\n

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