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A descent method along a gap function for nonsmooth monotone equilibrium problems

O. V. Pinyagina

Kazan State University, The Faculty of Computer Science and Cybernetics

Abstract: A class of monotone equilibrium problems with nonsmooth functions is considered. The approach based on gap functions and regularization is used to replace the original problem by the problem on necessary optimality conditions in the nonsmooth optimization and to construct a two-level descent algorithm for solving such a problem.

Keywords: equilibrium problem, monotone equilibrium function, gap function, regularization method.

UDC: 517.853