Approximating Fixed Points of Infinite Nonexpansive Mappings by the Hybrid Method

M. Kikkawa and W. Takahashi
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M. Kikkawa: Tokyo Institute of Technology
W. Takahashi: Tokyo Institute of Technology

Journal of Optimization Theory and Applications, 2003, vol. 117, issue 1, No 5, 93-101

Abstract: Abstract In this paper, we introduce an iterative scheme for finding a common fixed point of infinite nonexpansive mappings in a Hilbert space by using the hybrid method. Then, we prove a strong convergence theorem which is connected with the problem of image recovery. Further, using this result, we consider the generalized problem of image recovery and the problem of finding a common fixed point of a family of nonexpansive mappings.

Keywords: Nonexpansive mappings; hybrid methods; fixed points; image recovery (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1023/A:1023652406878

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