A strongly convergent algorithm for the split common fixed point problem

Oganeditse A. Boikanyo

doi:10.1016/j.amc.2015.05.130

A strongly convergent algorithm for the split common fixed point problem

Oganeditse A. Boikanyo

Mathematics & Statistical Sciences

Research output: Contribution to journal › Article › peer-review

36 Citations (Scopus)

Abstract

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.

Original language	English
Article number	21251
Pages (from-to)	844-853
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	265
DOIs	https://doi.org/10.1016/j.amc.2015.05.130
Publication status	Published - Jun 22 2015

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2015.05.130

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AB - 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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A strongly convergent algorithm for the split common fixed point problem

Abstract

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