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A method of local convex majorants for solving variational-like inequalities
Authors:E. A. Nurminskii  N. B. Shamrai
Affiliation:(1) Institute for Automation and Control Processes, Far East Division, Russian Academy of Sciences, ul. Radio 5, Vladivostok, 690041, Russia;(2) Far East State University, ul. Sukhanova 8, Vladivostok, 690039, Russia
Abstract:A numerical method based on convex approximations that locally majorize a gap function is proposed for solving a variational-like inequality. The algorithm is theoretically validated and the results of comparison of its numerical efficiency to that of the conventional methods are presented.
Keywords:variational and variational-like inequalities  gap function  convex optimization  method of local convex majorants
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