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http://dx.doi.org/10.4134/JKMS.2008.45.6.1591

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

Yao, Yonghong (DEPARTMENT OF MATHEMATICS TIANJIN POLYTECHNIC UNIVERSITY)
Liou, Yeong-Cheng (DEPARTMENT OF INFORMATION MANAGEMENT CHENG SHIU UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.45, no.6, 2008 , pp. 1591-1600 More about this Journal
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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