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.
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This work was supported by the joint RFBR–NNSF grant, project No. 07-01-92101.
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Konnov, I.V., Dyabilkin, D.A. Nonmonotone equilibrium problems: coercivity conditions and weak regularization. J Glob Optim 49, 575–587 (2011). https://doi.org/10.1007/s10898-010-9551-7
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DOI: https://doi.org/10.1007/s10898-010-9551-7
Keywords
- Equilibrium problems
- Nonmonotone bifunctions
- Coercivity conditions
- Regularization method
- Existence of solutions