Another control condition in an iterative method for nonexpansive mappings

2002/02/01 by Hong-Kun Xu · 2 citations
Computer Science · Mathematics · #Optimization and Variational Analysis #Advanced Optimization Algorithms Research #Fixed Point Theorems Analysis

paper · pdf · doi:10.1017/s0004972700020116

Abstract

We prove the convergence of an iterative method to a fixed point of a nonexpansive mapping in a uniformly smooth Banach space. We are able to relax one of the control conditions of P.L. Lions (1977).

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