# STRONG CONVERGENCE THEOREMS FOR INFINITE COUNTABLE NONEXPANSIVE MAPPINGS AND IMAGE RECOVERY PROBLEM

• Yao, Yonghong ;
• Liou, Yeong-Cheng
• Published : 2008.11.01
• 70 7

#### Abstract

In this paper, we introduce an iterative scheme given by infinite nonexpansive mappings in Banach spaces. We prove strong convergence theorems which are connected with the problem of image recovery. Our results enrich and complement the recent many results.

#### Keywords

nonexpansive mapping;strong convergence;uniformly $G{\hat{a}}teaux$ differentiable norm;fixed point

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1. A strong convergence of a modified Krasnoselskii‐Mann method for non‐expansive mappings in Hilbert spaces vol.15, pp.2, 2010, https://doi.org/10.3846/1392-6292.2010.15.265-274