A generalized variational principle and its application to equilibrium problems
type: Item
instance of: scholarly article
title: A generalized variational principle and its application to equilibrium problems
zbMATH Open document ID: 1282.90193
author: Csaba Farkas
author: Andrea Éva Molnár
published in: Journal of Optimization Theory and Applications
publication date: 2013-05-08T00:00:00Z
review text: The authors prove an extended version of the Ekeland variational principle for nonlinear equilibrium problems (EPs) in complete metric spaces, which admits perturbation functions. The cost bi-function should satisfy a triangle type inequality. This allows them to obtain an existence result for EPs in Euclidean spaces without convexity assumptions and to derive localization bounds for approximate equilibrium points. Next, extensions of these results for EPs on Cartesian product sets are also presented.
reviewed by: Igor V. Konnov
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 58E30
Mathematics Subject Classification ID: 47J30
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 47J20
zbMATH DE Number: 6161544
zbMATH Keywords: equilibrium problems
zbMATH Keywords: complete metric spaces
zbMATH Keywords: Ekeland-type variational principles
zbMATH Keywords: approximate solutions
MaRDI profile type: Publication
full work available at URL: s10957-012-0101-y
OpenAlex ID: W2049812339
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DOI: 10.1007/S10957-012-0101-Y
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description: scientific article; zbMATH DE number 6161544