Generalized Jacobian for functions with infinite dimensional range and domain

DOI10.1007/s11228-007-0043-yzbMath1211.49019arXivmath/0605771OpenAlexW2134040273MaRDI QIDQ2478193

Vera Zeidan, Zsolt Páles

Publication date: 14 March 2008

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605771

zbMATH Keywords

Continuous selectionChain ruleCharacterization theoremGeneralized JacobianRestriction ruleSum rule

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20)

Related Items (11)

Forward-backward evolution equations and applications ⋮ Continuous selections for inverse mappings in Banach spaces ⋮ Metric regularity, pseudo-Jacobians and global inversion theorems on Finsler manifolds ⋮ On the weak second-order optimality condition for nonlinear semidefinite and second-order cone programming ⋮ Infinite dimensional generalized Jacobian: properties and calculus rules ⋮ METRIC REGULARITY—A SURVEY PART II. APPLICATIONS ⋮ Co-Jacobian for Lipschitzian maps ⋮ Inversion of nonsmooth maps between Banach spaces ⋮ Surjection and inversion for locally Lipschitz maps between Banach spaces ⋮ Inexact Newton Methods and Dennis--Moré Theorems for Nonsmooth Generalized Equations ⋮ Unnamed Item

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