The subdifferential and the directional derivatives of the maximum of a family of convex functions. II

DOI10.1070/IM2001V065N01ABEH000323zbMath1017.49020OpenAlexW4233249167MaRDI QIDQ2759281

V. N. Solov'ev

Publication date: 3 January 2002

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2001v065n01abeh000323

zbMATH Keywords

subdifferentialminimax problemLagrange dualitydirectional derivativemaximum function

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Nonsmooth analysis (49J52) Existence of solutions for minimax problems (49J35) Convexity of real functions of several variables, generalizations (26B25)

Related Items (7)

Non-convex semi-infinite min-max optimization with noncompact sets ⋮ Moreau--Rockafellar-Type Formulas for the Subdifferential of the Supremum Function ⋮ Subdifferential of the supremum function: moving back and forth between continuous and non-continuous settings ⋮ Valadier-like formulas for the supremum function I ⋮ Subdifferential of the supremum via compactification of the index set ⋮ Valadier-like formulas for the supremum function II: The compactly indexed case ⋮ Towards Supremum-Sum Subdifferential Calculus Free of Qualification Conditions

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