Second-order differential proximal methods for equilibrium problems. (English) Zbl 1175.90413

Moudafi, A.

JIPAM, J. Inequal. Pure Appl. Math. 4, No. 1, Paper No. 18, 7 p. (2003).

Summary: An approximate procedure for solving equilibrium problems is proposed and its convergence is established under natural conditions. The result obtained in this paper includes, as a special case, some known results in convex minimization and monotone inclusion fields.

MSC:

90C47	Minimax problems in mathematical programming
49J35	Existence of solutions for minimax problems
65J05	General theory of numerical analysis in abstract spaces

Keywords:

equilibrium; proximal method; minimization; monotone inclusion