A strongly convergent algorithm for the split common fixed point problem

Oganeditse A. Boikanyo

Applied Mathematics and Computation, 2015, vol. 265, issue C, 844-853

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.

Keywords: Split common fixed point problem; Demicontractive operator; Quasi-nonexpansive operator; Directed operator (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:265:y:2015:i:c:p:844-853

DOI: 10.1016/j.amc.2015.05.130

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