On some extension theorems for set-valued mappings

DOI10.1016/j.na.2013.04.009zbMath1285.47058OpenAlexW2090666803MaRDI QIDQ393202

Constantin Zalinescu

Publication date: 16 January 2014

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.2013.04.009

zbMATH Keywords

topological vector space\(K\)-convex set-valued mappinggeneralized Hahn-Banach theoremleast upper bound propertysubdifferential for set-valued mapping

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Set-valued operators (47H04) Programming in abstract spaces (90C48) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22)

Cites Work

• Weak subdifferential for set-valued mappings and its applications
• The extension of continuity and generalized results for set-valued maps in convex analysis
• Hahn-Banach extension theorems for multifunctions revisited
• Subdifferential and optimality conditions for the difference of set-valued mappings

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