Infimal Convolution and Optimal Time Control Problem III: Minimal Time Projection Set

DOI10.1137/16M1110212zbMath1381.49012OpenAlexW2782244506MaRDI QIDQ4600838

Lionel Thibault, Grigorii E. Ivanov

Publication date: 17 January 2018

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1110212

zbMATH Keywords

Fréchet subdifferentialinfimal convolutionminimal time functionLegendre-Fenchel conjugateminimal time projection

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20)

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Infimal convolution and optimal time control problem. II: Limiting subdifferential ⋮ Infimal convolution and optimal time control problem. I: Fréchet and proximal subdifferentials ⋮ A new notion of error bounds: necessary and sufficient conditions ⋮ Well-posedness and subdifferentials of optimal value and infimal convolution ⋮ Unnamed Item ⋮ Infimal convolution and duality in problems with third-order discrete and differential inclusions

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