On penalty methods for non monotone equilibrium problems

Authors:
I. V. Konnov
Affiliations:
Department of System Analysis and Information Technologies, Kazan Federal University, Kazan, Russia 420008
Venue:
Journal of Global Optimization
Year:
2014

Citing 2
Cited 0

Penalty Methods for the Solution of Generalized Nash Equilibrium Problems

SIAM Journal on Optimization
Nonmonotone equilibrium problems: coercivity conditions and weak regularization

Journal of Global Optimization

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Abstract

We consider a general equilibrium problem under weak coercivity conditions in a finite-dimensional space setting. It appears such a condition provides convergence of the general penalty method without any monotonicity assumptions. We also show that the regularized version of the penalty method enables us to further weaken the coercivity condition.