Differentiability properties of functions that are \(\ell \)-stable at a point
type: Item
instance of: scholarly article
title: Differentiability properties of functions that are \(\ell \)-stable at a point
zbMATH Open document ID: 1146.49017
author: Dušan Bednařík
author: Karel Pastor
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2008-10-21T00:00:00Z
Mathematics Subject Classification ID: 49K10
Mathematics Subject Classification ID: 26B05
zbMATH DE Number: 5355056
zbMATH Keywords: \(C^{1, 1}\) function
zbMATH Keywords: \(\ell \)-stable function
zbMATH Keywords: directional derivatives of first and second order
zbMATH Keywords: strictly differentiable function
zbMATH Keywords: Asplund space
MaRDI profile type: Publication
full work available at URL: j.na.2007.09.006
OpenAlex ID: W1987638732
cites work: Elimination of Strict Convergence in Optimization
cites work: On second-order conditions in unconstrained optimization
cites work: Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems
cites work: Technical note: Directional derivatives in nonsmooth optimization
cites work: A Generalized Second-Order Derivative in Nonsmooth Optimization
cites work: On Generalized Second-Order Derivatives and Taylor Expansions in Nonsmooth Optimization
cites work: From scalar to vector optimization.
cites work: Second-order subdifferentials of \(C^{1,1}\) functions and optimality conditions
cites work: Generalized Hessian matrix and second-order optimality conditions for problems with \(C^{1,1}\) data
cites work: An envelope-like effect of infinitely many inequality constraints on second-order necessary conditions for minimization problems
cites work: Upper Lipschitz behavior of solutions to perturbed \(C^{1,1}\) programs
cites work: Convex functions, monotone operators and differentiability.
cites work: Differentiability of Lipschitz functions on Banach spaces
cites work: Superlinearly convergent approximate Newton methods for LC\(^ 1\) optimization problems
cites work: Second-Order Optimality Conditions in Nonlinear Programming Obtained by Way of Epi-Derivatives
cites work: Variational Analysis
cites work: Q4449121
cites work: On second-order directional derivatives
cites work: On relations and applications of generalized second-order directional derivatives
cites work: Q3328296
DOI: 10.1016/J.NA.2007.09.006
description: scientific article; zbMATH DE number 5355056