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.
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This work was supported in part by the RFBR grant, project No. 13-01-00368a.
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Konnov, I.V. On penalty methods for non monotone equilibrium problems. J Glob Optim 59, 131–138 (2014). https://doi.org/10.1007/s10898-013-0082-x
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DOI: https://doi.org/10.1007/s10898-013-0082-x
Keywords
- Equilibrium problems
- Nonmonotone bifunctions
- Penalty method
- Coercivity conditions
- Regularized penalty method