Article ID Journal Published Year Pages File Type
4626698 Applied Mathematics and Computation 2015 10 Pages PDF
Abstract

Recently, Cui and Wang (2014) constructed an algorithm for demicontractive operators that converges weakly, under mild assumptions, to some solution of the split common fixed point problem. In this paper, based on Halpern’s type method (1967), we construct an algorithm for demicontractive operators that produces sequences that always converge strongly to a specific solution of the split common fixed point problem. Particular cases of directed operators and quasi-nonexpansive mappings are also considered.

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Physical Sciences and Engineering Mathematics Applied Mathematics
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