Approximations, expansions and univalued representations of multifunctions

DOI10.1016/S0362-546X(99)00331-4zbMath0985.47039OpenAlexW1981626165WikidataQ126311119 ScholiaQ126311119MaRDI QIDQ5940162

Dentcheva, Darinka

Publication date: 29 July 2001

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/s0362-546x(99)00331-4

zbMATH Keywords

Castaing representations of multifunctionsdelta theoremsGâteaux differentiable \(C^k\)-smooth selectionsgeneralized differentiabilityKy Fan set-valued mapsradial derivativesrandom setssemi-derivatives

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued maps in general topology (54C60) Fréchet and Gateaux differentiability in optimization (49J50) Set-valued operators (47H04) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (3)

Time-Coherent Risk Measures for Continuous-Time Markov Chains ⋮ Semiconvergence in distribution of random closed sets with application to random optimization problems ⋮ Variational inclusions for contingent derivative of set-valued maps

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