Critical point theorems and Ekeland type variational principle with applications

DOI10.1155/2011/914624zbMath1213.49015OpenAlexW2058926561WikidataQ59252964 ScholiaQ59252964MaRDI QIDQ623572

Lai-Jiu Lin, Qamrul Hasan Ansari, Sung-Yu Wang

Publication date: 8 February 2011

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227056

zbMATH Keywords

critical point theoremscompleteness of \(\lambda\)-spaceEkeland type variational principle

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40)

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Cites Work

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• Existence theorems for variational inclusion problems and the set-valued vector Ekeland variational principle in a complete metric space
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• Existence of equilibria via Ekeland's principle
• On the variational principle
• The variational principle and fixed point theorems in certain topological spaces
• Vectorial form of Ekeland-type variational principle with applications to vector equilibrium problems and fixed point theory
• Equivalents to Ekeland's variational principle in uniform spaces
• Nonconvex minimization problems
• Equivalents of Ekeland's principle
• A generalization of ekellandz’s variational principle
• A nonconvex vector minimization problem

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