A strongly convergent algorithm for the split common fixed point problem

Journal article

Authors/Editors

Oganeditse, Boikanyo

Research Areas

ENGINEERING AND TECHNOLOGY (Frascati classification)

Publication Details

Subtitle: A strongly convergent algorithm for the split common fixed point problem

Publisher: AZERBAIJAN NATIONAL ACAD SCI

Publication year: 2015

Volume number: 265

Start page: 844

End page: 853

Number of pages: 10

ISSN: 1683-3511

URL: https://www.sciencedirect.com/science/article/abs/pii/S0096300315007614

Languages: English-United States (EN-US)

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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.

Keywords

Split common fixed point problemDemicontractive operatorQuasi-nonexpansive operatorDirected operator

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