Infinite dimensional generalized Jacobian: properties and calculus rules

DOI10.1016/j.jmaa.2008.02.044zbMath1211.49020OpenAlexW2059354404MaRDI QIDQ2427750

Vera Zeidan, Zsolt Páles

Publication date: 28 May 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.02.044

zbMATH Keywords

sum rulechain rulegeneralized Jacobiancharacterization of the generalized Jacobianformula for a continuous selection

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Fréchet and Gateaux differentiability in optimization (49J50) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20)

Related Items (7)

Reducible means and reducible inequalities ⋮ On ranges of set-valued mappings ⋮ On ranges of non-linear operators ⋮ Co-Jacobian for Lipschitzian maps ⋮ Computationally relevant generalized derivatives: theory, evaluation and applications ⋮ Every compact convex subset of matrices is the Clarke Jacobian of some Lipschitzian mapping ⋮ Inexact Newton Methods and Dennis--Moré Theorems for Nonsmooth Generalized Equations

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