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J. Korean Math. Soc. 2008; 45(6): 1591-1600
Printed November 1, 2008
Copyright © The Korean Mathematical Society.
Strong convergence theorems for infinite countable nonexpansive mappings and image recovery problem
Yonghong Yao and Yeong-Cheng Liou
Tianjin Polytechnic University and Cheng Shiu University
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\^{a}teaux differentiable norm, fixed point
MSC numbers: 47H09, 47H10, 47H17
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