A minimization theorem for a set-valued mapping

DOI10.1016/J.AML.2007.08.003zbMath1165.49020OpenAlexW1981558291MaRDI QIDQ953873

Wenyan Zhang, Sheng Jie Li

Publication date: 6 November 2008

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.08.003

zbMATH Keywords

set-valued mappingEkeland variational principlestrict minimizer\(K\)-lower semi-continuous

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (5)

On Ha's version of set-valued Ekeland's variational principle ⋮ Ekeland variational principles for set-valued functions with set perturbations ⋮ Existence theorems for variational inclusion problems and the set-valued vector Ekeland variational principle in a complete metric space ⋮ Ekeland type variational principle with applications to quasi-variational inclusion problems ⋮ Set-valued Ekeland variational principles in fuzzy metric spaces

Cites Work

• Ekeland's \(\varepsilon\)-variational principle for set-valued mappings
• Some variants of the Ekeland variational principle for a set-valued map
• On the vectorial Ekeland's variational principle and minimal points in product spaces
• Remarks to an equivalent formulation of ekeland’s variational principle
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A minimization theorem for a set-valued mapping