On Finite and Strong Convergence of a Proximal Method for Equilibrium Problems |
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| Authors: | Abdellatif Moudafi |
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| Affiliation: | 1. GRIMAAG, Département Scientifique Interfacultaire , Université des Antilles-Guyane, Campus de Schoelcher , Cedex, Martinique Abdellatif.Moudafi@martinique.univ-ag.fr |
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| Abstract: | We introduce the notions of conditioning and well-posedness for equilibrium problems. Using these concepts, we obtain finite and strong convergence results for the proximal method that improve, develop, and unify several theorems in optimization and nonlinear analysis. |
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| Keywords: | Conditioning Convex programming Equilibrium problem Fixed point problem Proximal method Saddle point Sharp minimum Variational inequality Well-posedness |
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