Inertial iteration for split common fixed-point problem for quasi-nonexpansive operators
type: Item
instance of: scholarly article
title: Inertial iteration for split common fixed-point problem for quasi-nonexpansive operators
zbMATH Open document ID: 1364.47020
DOI: 10.1155/2013/386930
author: Yan Gao
author: Yazheng Dang
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: Inspired by the note on split common fixed-point problem for quasi-nonexpansive operators presented by \textit{A. Moudafi} [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 12, 4083--4087 (2011; Zbl 1232.49017)], based on the very recent work by the authors and \textit{Y.-L. Han} [J. Appl. Math. 2012, Article ID 207323, 10 p. (2012; Zbl 1256.65052)], in this paper, we propose an inertial iterative algorithm for solving the split common fixed-point problem for quasi-nonexpansive operators in the Hilbert space. We also prove the asymptotical convergence of the algorithm under some suitable conditions. The results improve and develop previously discussed feasibility problems and related algorithms.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6306785
zbMATH Keywords: inertial iterative algorithm
zbMATH Keywords: split common fixed-point problem
zbMATH Keywords: quasi-nonexpansive operators
zbMATH Keywords: Hilbert space
zbMATH Keywords: asymptotical convergence
Wikidata QID: Q58916131
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/386930
OpenAlex ID: W2076683373
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description: scientific article; zbMATH DE number 6306785