Strong convergence of an iterative algorithm involving nonlinear mappings of nonexpansive and accretive type

In this paper, a new iterative method for finding the projection onto the intersection of two closed convex sets in the framework of Banach spaces is presented. It is a viscosity approximation method which produces a strongly convergent sequence.

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Bibliographic Details
Published inOptimization Vol. 67; no. 9; pp. 1377 - 1388
Main Authors Qin, Xiaolong, Cho, Sun Young, Wang, Lin
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 02.09.2018
Taylor & Francis LLC
Subjects
Accretive operator
Banach spaces
Computational geometry
Convergence
Convexity
Iterative algorithms
projection
resolvent
strong convergence
variational inequality
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Summary:In this paper, a new iterative method for finding the projection onto the intersection of two closed convex sets in the framework of Banach spaces is presented. It is a viscosity approximation method which produces a strongly convergent sequence.
Bibliography:ObjectType-Article-1
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ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2018.1491973