High order stability conditions for degenerate optimization problems; elements of \(p\)-regularity theory
type: Item
instance of: scholarly article
title: High order stability conditions for degenerate optimization problems; elements of \(p\)-regularity theory
zbMATH Open document ID: 1229.90211
author: Agnieszka Prusińska
author: Ewa M. Bednarczuk
author: A. Tret'yakov
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-12-14T00:00:00Z
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 49K27
Mathematics Subject Classification ID: 46N10
Mathematics Subject Classification ID: 49N60
zbMATH DE Number: 5826256
zbMATH Keywords: solution existence
zbMATH Keywords: perturbed problem
zbMATH Keywords: optimization
zbMATH Keywords: constraints
zbMATH Keywords: \(p\)-regularity
zbMATH Keywords: degenerate
zbMATH Keywords: nonregular
zbMATH Keywords: singular
zbMATH Keywords: sensitivity analysis
zbMATH Keywords: estimation
zbMATH Keywords: \(p\)-order stability conditions
zbMATH Keywords: Weierstrass function
zbMATH Keywords: \(p\)-factor operator
MaRDI profile type: Publication
full work available at URL: j.na.2010.09.034
OpenAlex ID: W1981797926
cites work: Optimization Problems with Perturbations: A Guided Tour
cites work: Q4503250
cites work: Differential stability in infinite-dimensional nonlinear programming
cites work: Q4884349
cites work: Manifolds, tensor analysis, and applications.
cites work: Factor-analysis of nonlinear mappings: \(p\)-regularity theory
cites work: Symmetry and bifurcations of momentum mappings
cites work: CONDITIONS OF HIGH ORDER FOR A LOCAL MINIMUM IN PROBLEMS WITH CONSTRAINTS
cites work: High-Order Approximations and Generalized Necessary Conditions for Optimality
cites work: Methods for solving degenerate problems
cites work: Optimality Conditions for Degenerate Extremum Problems with Equality Constraints
cites work: The \(p\)th order optimality conditions for nonregular optimization problems
cites work: Solvability of the Cauchy problem for a first-order partial differential equation in the degenerate case
cites work: The method of gradient descent for minimizing non-convex functions
cites work: Q4501761
cites work: Q5692178
cites work: Necessary and sufficient conditions for optimality of p-th order
cites work: The implicit function theorem in degenerate problems
cites work: Q3665685
cites work: Q4194725
cites work: Q4692740
DOI: 10.1016/J.NA.2010.09.034
description: scientific article; zbMATH DE number 5826256