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Journal of Global Optimization

, Volume 59, Issue 1, pp 131–138 | Cite as

On penalty methods for non monotone equilibrium problems

  • I. V. Konnov
Article

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.

Keywords

Equilibrium problems Nonmonotone bifunctions Penalty method Coercivity conditions Regularized penalty method 

Mathematics Subject Classification (2000)

90C33 47J20 65K15 65J20 

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department of System Analysis and Information TechnologiesKazan Federal UniversityKazanRussia

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