A strong convergence theorem concerning a hybrid projection method for finding common fixed points of a countable family of relatively quasi-nonexpansive mappings
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Author list: Saewan S., Kumam P.
Publisher: Yokohama Oublishers
Publication year: 2012
Journal: Journal of Nonlinear and Convex Analysis (1345-4773)
Volume number: 13
Issue number: 2
Start page: 313
End page: 330
Number of pages: 18
ISSN: 1345-4773
Languages: English-Great Britain (EN-GB)
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Abstract
The purpose of this paper is to introduce the hybrid projection algorithm by the generalized f-projection operator for a countable family of relatively quasinonexpansive mappings in a uniformly convex and uniform smooth Banach space. We obtain strong convergence theorem for countable relatively quasi-nonexpansive mappings under some suitable conditions. As applications, we apply our result to the problem of finding zeros of B-monotone mappings and maximal monotone operators. The result presented in this paper generalize and improve previous results. ฉ 2012 Yokohama Publishers.
Keywords
B-monotone mappings, Maximal monotone operator, Relatively quasi-nonexpansive mapping
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