Counterexamples on some articles on quasi-variational inclusion problems

DOI10.1007/s10898-010-9559-zzbMath1219.47070OpenAlexW2030692090WikidataQ125004930 ScholiaQ125004930MaRDI QIDQ537965

Hossein Mohebi, Mehdi Vatandoost

Publication date: 23 May 2011

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-010-9559-z

zbMATH Keywords

vector optimization problemlower quasi-variational inclusionupper and lower \(C\)-continuous multi-valued mappingupper and lower \(C\)-quasi-convex multi-valued mappingupper quasi-variational inclusion

Mathematics Subject Classification ID

Convex programming (90C25) Minimax problems in mathematical programming (90C47) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Set-valued operators (47H04)

Related Items (1)

Hybrid extragradient-like methods for generalized mixed equilibrium problems, systems of generalized equilibrium problems and optimization problems

Cites Work

• Existence of equilibria for multivalued mappings and its application to vectorial equilibria
• On the existence of solutions of quasi-equilibrium problems with constraints
• On general vector quasi-optimization problems
• On the existence of solutions of quasivariational inclusion problems
• A variational-like inequality for multifunctions with applications
• On quasivariational inclusion problems of type I and related problems
• The Generalized Quasi-Variational Inequality Problem
• Some sufficient conditions for the existence of equilibrium points concerning multivalued mappings
• Fixed points and quasi-equilibrium problems
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