Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 71, Issue 3-4, Pages 1032-1041Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2008.11.067
Keywords
Hybrid method; Variational inequality; Nonexpansive mapping; Iterative method; Projection; Hierarchical minimization
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Funding
- NSC [97-2628-M-110-003-MY3]
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We use contractions to regularize a class of monotone variational inequalities, where the monotone operators are complements of nonexpansive mappings and the Solutions are sought in the set of fixed points of another nonexpansive mapping. Such variational inequalities include monotone inclusions and convex optimization problems to be solved over the fixed point sets of nonexpansive mappings. Both implicit and explicit schemes are shown to be strongly convergent. An application in hierarchical minimization is included. (C) 2008 Elsevier Ltd. All rights reserved.
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