A generalized variational principle and its application to equilibrium problems

DOI10.1007/S10957-012-0101-YzbMath1282.90193OpenAlexW2049812339MaRDI QIDQ1949583

Csaba Farkas, Andrea Éva Molnár

Publication date: 8 May 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-012-0101-y

zbMATH Keywords

approximate solutionsequilibrium problemscomplete metric spacesEkeland-type variational principles

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Variational methods involving nonlinear operators (47J30) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Variational principles in infinite-dimensional spaces (58E30)

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Cites Work

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• Nonconvex minimization problems
• A fixed point theorem and its applications to a system of variational inequalities
• A generalization of Ekerland's variational principle and application to the study of the relation between the weak P.S. condition and coercivity
• Minimax Theorems

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