Ekeland's variational principle for vectorial multivalued mappings in a uniform space

DOI10.1016/j.na.2011.04.071zbMath1222.49021OpenAlexW1985264454MaRDI QIDQ549942

Lai-Jiu Lin, Sung-Yu Wang

Publication date: 19 July 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.04.071

zbMATH Keywords

Ekeland's variational principleTakahashi's nonconvex minimization theoremuniform spaces\(F\)-type topological spacesCaristi's fixed point

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Fixed-point theorems (47H10)

Cites Work

• Nonconvex separation theorems and some applications in vector optimization
• Some generalizations of Ekeland-type variational principle with applications to equilibrium problems and fixed point theory
• Vector Ekeland's variational principle in an \(F\)-type topological space
• Ekeland type variational principle with applications to quasi-variational inclusion problems
• Existence of equilibria via Ekeland's principle
• On the variational principle
• The variational principle and fixed point theorems in certain topological spaces
• On generalizations of the Ekeland-type variational principles.
• Vector optimization. Set-valued and variational analysis.
• Equivalents to Ekeland's variational principle in uniform spaces
• The drop theorem, the petal theorem and Ekeland's variational principle
• Nonconvex minimization problems
• Fixed Points and Stationary Points of Dissipative Multivalued Maps
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• Equivalents of Ekeland's principle
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Set-valued analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item