EXISTENCE RESULTS FOR A WIDE CLASS OF EQUILIBRIUM PROBLEMS: A GENERAL SCHEME

We take into account the general scheme of equilibrium problems proposed by Joly and Mosco [8] which encompasses several classical problems: fixed points, complementarity problems, Nash solutions, variational and quasi variational inequalities and so on. Using Michael selection theorem and Brouwer fixed point theorem we get a theorem ensuring existence of equilibria. Particular interesting cases are analysed.