On Ekeland's variational principle for Pareto minima of set-valued mappings

DOI10.1007/s10957-011-9957-5zbMath1247.90237OpenAlexW1981896023MaRDI QIDQ430939

Dinh Ngoc Quy, Phan Quoc Khanh

Publication date: 26 June 2012

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

Full work available at URL: https://doi.org/10.1007/s10957-011-9957-5

zbMATH Keywords

Ekeland's variational principleminimal elements\((k_0,K)\)-lower semicontinuity from above\(K\)-lower semicontinuityweak \(\tau\)-functions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Programming in abstract spaces (90C48)

Related Items (13)

Note on Convex Functionals in the Dual Spaces of Nonreflexive Banach Spaces ⋮ Ekeland variational principle for generalized vector equilibrium problems with equivalences and applications ⋮ On the weak semi-continuity of vector functions and minimum problems ⋮ On Ekeland's variational principle for interval-valued functions with applications ⋮ An equilibrium version of vectorial Ekeland variational principle and its applications to equilibrium problems ⋮ On generalized Ekeland's variational principle and equivalent formulations for set-valued mappings ⋮ Vectorial Ekeland variational principle for systems of equilibrium problems and its applications ⋮ Versions of Ekeland's variational principle involving set perturbations ⋮ An induction theorem and Ekeland's variational principle in partial metric spaces with applications ⋮ A pre-order principle and set-valued Ekeland variational principle ⋮ Monotone type operators in nonreflexive Banach spaces ⋮ A generalized distance and enhanced Ekeland's variational principle for vector functions ⋮ A Survey of Set Optimization Problems with Set Solutions

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