Generalizations of the strong Ekeland variational principle with a generalized distance in complete metric spaces

DOI10.1186/1029-242X-2013-120zbMath1291.54064WikidataQ59293272 ScholiaQ59293272MaRDI QIDQ2636688

Thidaporn Seangwattana, Somyot Plubtieng

Publication date: 31 January 2014

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

zbMATH Keywords

complete metric spaceEkeland variational principlestrong Ekeland variational principlegeneralised distance

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Variational principles in infinite-dimensional spaces (58E30)

Cites Work

• The strong Ekeland variational principle, the strong drop theorem and applications
• On the variational principle
• On generalizations of the Ekeland-type variational principles.
• Vectorial form of Ekeland-type variational principle with applications to vector equilibrium problems and fixed point theory
• The strong Ekeland variational principle
• Generalized distance and existence theorems in complete metric spaces

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