Content:
It shown that a number of equilibrium problems and related variational inequalities can be cast as finding the \maxinf (or \minsup) or saddle points of bivariate functions. We can then appeal to the theory of lopsided convergence for bivariate functions to derive stability results. In this paper, we study situations when the solutions or equilibrium points could possibly be set-valued and explore the relationship between lopsided convergence of bivaraite functions and the graphical convergence of related operators.
July 2005