4.4 Article

Construction algorithms for a class of monotone variational inequalities

Journal

OPTIMIZATION LETTERS
Volume 10, Issue 7, Pages 1519-1528

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s11590-015-0954-8

Keywords

Variational inequality; Monotone operator; Nonexpansive operator; Implicit algorithm

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This paper is devoted to solve the following monotone variational inequality of finding such that where A is a monotone operator and is the set of fixed points of nonexpansive operator T. For this purpose, we construct an implicit algorithm and prove its convergence hierarchical to the solution of above monotone variational inequality.

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