Barrier methods for equilibrium problems
Barrier methods for equilibrium problems
We consider several versions of the barrier method for a general equilibrium problem with nonlinear constraints in a reflexive Banach space setting. We suggest weak coercivity conditions instead of (generalized) monotonicity, including one containing a perturbed barrier function, in order to entail solutions for the equilibrium problem. We obtain convergence properties of the method under mild assumptions.
non-monotone bifunctions, Equilibrium problems; Banach spaces; non-monotone bifunctions; barrier method; regularization method; coercivity conditions; weak convergence, barrier method, Equilibrium problems, regularization method
non-monotone bifunctions, Equilibrium problems; Banach spaces; non-monotone bifunctions; barrier method; regularization method; coercivity conditions; weak convergence, barrier method, Equilibrium problems, regularization method
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