An extension of Ekeland's variational principle to locally complete spaces

DOI10.1016/j.jmaa.2006.05.012zbMath1108.49009OpenAlexW2151940122MaRDI QIDQ864676

César L. García, Armando García, Carlos Bosch

Publication date: 12 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.05.012

zbMATH Keywords

Ekeland's variational principlelocal completeness

Mathematics Subject Classification ID

Variational inequalities (49J40) Methods involving semicontinuity and convergence; relaxation (49J45) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items (10)

\(p\)-distances, \(q\)-distances and a generalized Ekeland's variational principle in uniform spaces ⋮ Ekeland's variational principle in locally convex spaces and the density of extremal points ⋮ Ekeland-Type Variational Principles and Equilibrium Problems ⋮ A general vectorial Ekeland's variational principle with a P-distance ⋮ Some generalizations of Ekeland-type variational principle with applications to equilibrium problems and fixed point theory ⋮ Fixed points of set-valued maps in locally complete spaces ⋮ Generalized \(\varepsilon \)-quasi-solutions in multiobjective optimization problems: existence results and optimality conditions ⋮ Ekeland's variational principle in weak and strong systems of arithmetic ⋮ Local completeness and Pareto optimization ⋮ Local completeness, Pareto efficiency and Mackey Bishop-Phelps cones

Cites Work

• Phelps’ lemma, Danes’ drop theorem and Ekeland’s principle in locally convex spaces
• Ekeland's variational principle in locally complete spaces
• Ekeland's variational principle in Fréchet spaces and the density of extremal points

This page was built for publication: An extension of Ekeland's variational principle to locally complete spaces