On the continuity of vector convex multivalued functions

zbMath1023.58010MaRDI QIDQ700256

Nguyen Xuan Tan, Nguyen Ba Minh

Publication date: 19 November 2003

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

zbMATH Keywords

vector convex functionsupper (lower) \({\mathcal C}\)-continuousupper (lower) \({\mathcal C}\)-convex function

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Set-valued and variational analysis (49J53) Set-valued operators (47H04) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Continuity properties of mappings on manifolds (58C07)

Related Items (5)

The Lipschitzianity of convex vector and set-valued functions ⋮ Vector quasi-equilibrium problems for the sum of two multivalued mappings ⋮ Local dense solutions for equilibrium problems with applications to noncooperative games ⋮ Set Optimization—A Rather Short Introduction ⋮ Generalized \({\varepsilon }\)-quasi solutions of set optimization problems

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