Nonmonotone equilibrium problems: Coercivity conditions and weak regularization

Abstract

We consider a general equilibrium problem in a finite-dimensional space setting and propose a newcoercivity condition for existence of solutions.We also showthat it enables us to create a broad family of regularization methods with preserving well-definiteness and convergence of the iteration sequence without additional monotonicity assumptions. Some examples of applications are also given. © Springer Science+Business Media, LLC. 2010.