Abstract

The aim of this chapter is to emphasize the importance of the equilibrium problem in nonlinear analysis and in several applied fields by presenting its most important particular cases as scalar and vector minimization problems, the fixed point problem for set-valued maps, variational inequalities, and complementarity problems, minimax theorems and Nash equilibria of noncooperative games, the Kirszbraun problem, models in mathematical economics, quasi-variational and quasi-hemivariational inequalities, and Browder variational inclusions.

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