A Modified Iterative Algorithm for Split Feasibility Problems of Right Bregman Strongly Quasi-Nonexpansive Mappings in Banach Spaces with Applications
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Author list: Padcharoen A., Kumam P., Cho Y.J., Thounthong P.
Publisher: MDPI
Publication year: 2016
Journal: Algorithms (1999-4893)
Volume number: 9
Issue number: 4
ISSN: 1999-4893
eISSN: 1999-4893
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we present a new iterative scheme for finding a common element of the solution set F of the split feasibility problem and the fixed point set F(T) of a right Bregman strongly quasi-nonexpansive mapping T in ρ-uniformly convex Banach spaces which are also uniformly smooth. We prove strong convergence theorem of the sequences generated by our scheme under some appropriate conditions in real ρ-uniformly convex and uniformly smooth Banach spaces. Furthermore, we give some examples and applications to illustrate our main results in this paper. Our results extend and improve the recent ones of some others in the literature.
Keywords
Right bregman strongly quasi-nonexpansive
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