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On penalty methods for non monotone equilibrium problems

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  • I. Konnov

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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. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • I. Konnov, 2014. "On penalty methods for non monotone equilibrium problems," Journal of Global Optimization, Springer, vol. 59(1), pages 131-138, May.
  • Handle: RePEc:spr:jglopt:v:59:y:2014:i:1:p:131-138
    DOI: 10.1007/s10898-013-0082-x
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    References listed on IDEAS

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    1. I. Konnov & D. Dyabilkin, 2011. "Nonmonotone equilibrium problems: coercivity conditions and weak regularization," Journal of Global Optimization, Springer, vol. 49(4), pages 575-587, April.
    2. Igor Konnov, 2009. "Decomposition Approaches for Constrained Spatial Auction Market Problems," Networks and Spatial Economics, Springer, vol. 9(4), pages 505-524, December.
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    1. repec:spr:joptap:v:164:y:2015:i:2:d:10.1007_s10957-014-0588-5 is not listed on IDEAS

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