4.5 Article

Implicit Iterative Methods for Nonconvex Variational Inequalities

Journal

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
Volume 143, Issue 3, Pages 619-624

Publisher

SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10957-009-9567-7

Keywords

Variational inequalities; Nonconvex sets; Monotone operators; Iterative method; Convergence

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In this paper, we suggest and analyze an implicit iterative method for solving nonconvex variational inequalities using the technique of the projection operator. We also discuss the convergence of the iterative method under suitable weaker conditions. Our method of proof is very simple as compared with other techniques.

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