Nonmonotone equilibrium problems: coercivity conditions and weak regularization

Authors:
I. V. Konnov;D. A. Dyabilkin
Affiliations:
Department of System Analysis and Information Technologies, Kazan University, Kazan, Russia 420008;Department of System Analysis and Information Technologies, Kazan University, Kazan, Russia 420008
Venue:
Journal of Global Optimization
Year:
2011

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Abstract

We consider a general equilibrium problem in a finite-dimensional space setting and propose a new coercivity condition for existence of solutions. We also show that 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.