Solving split variational inclusion problem and fixed point problem for nonexpansive semigroup without prior knowledge of operator norms
type: Item
instance of: scholarly article
title: Solving split variational inclusion problem and fixed point problem for nonexpansive semigroup without prior knowledge of operator norms
zbMATH Open document ID: 1394.65038
DOI: 10.1155/2015/408165
author: Meixia Li
author: Hai-Tao Che
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: We introduce an iterative method to approximate a common solution of split variational inclusion problem and fixed point problem for nonexpansive semigroups with a way of selecting the stepsizes which does not need any prior information about the operator norms in Hilbert spaces. We prove that the sequences generated by the proposed algorithm converge strongly to a common element of the set of solutions of a split variational inclusion and the set of common fixed points of one-parameter nonexpansive semigroups. Moreover, numerical results demonstrate the performance and convergence of our result, which may be viewed as a refinement and improvement of the previously known results announced by many other researchers.
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J22
zbMATH DE Number: 6926283
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/408165
OpenAlex ID: W1927035897
Wikidata QID: Q59118497
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description: scientific article; zbMATH DE number 6926283