Strong convergence of a km iterative algorithm for computing a split common fixed-point of quasi-nonexpansive operators

Dang, Y.; Rodrigues, B.; Sun, Jie

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Access Status

Open access

Authors

Dang, Y.

Rodrigues, B.

Sun, Jie

Date

2021

Type

Journal Article

Metadata

Show full item record

Citation

Dang, Y. and Rodrigues, B. and Sun, J. 2021. Strong convergence of a km iterative algorithm for computing a split common fixed-point of quasi-nonexpansive operators. Journal of Nonlinear and Convex Analysis. 22 (5): pp. 969-978.

Source Title

Journal of Nonlinear and Convex Analysis

Additional URLs

http://yokohamapublishers.jp/online2/opjnca/vol22/p969.html

ISSN

1345-4773

Faculty

Faculty of Science and Engineering

School

School of Elec Eng, Comp and Math Sci (EECMS)

URI

http://hdl.handle.net/20.500.11937/91430

Collection

Curtin Research Publications

Abstract

A modified Krasnoselski-Mann iterative algorithm is proposed for solving the split common fixed-point problem for quasi-nonexpansive operators. A parameter sequence is introduced to enhance convergence. It is shown that the proposed iterative algorithm strongly converges to a split common fixed-point in Hilbert spaces. This result extends the applicability of the KM algorithm.