Stationarity and regularity of infinite collections of sets
type: Item
instance of: scholarly article
title: Stationarity and regularity of infinite collections of sets
zbMATH Open document ID: 1268.90126
author: Alexander Y. Kruger
author: Marco Antonio López Cerdá
published in: Journal of Optimization Theory and Applications
publication date: 2013-02-11T00:00:00Z
full work available at URL: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/42647
review text: The authors extend the extremality, stationarity and regularity properties from the finite collections of sets to the infinite such as these classes of sets in Banach spaces.
Mathematics Subject Classification ID: 90C48
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49J50
zbMATH DE Number: 6135549
zbMATH Keywords: infinite collection of sets
zbMATH Keywords: extremality
zbMATH Keywords: stationarity
zbMATH Keywords: regularity
reviewed by: Vasile Postolică
MaRDI profile type: Publication
OpenAlex ID: W2077413285
cites work: Extremum problems in the presence of restrictions
cites work: Q3896139
cites work: Differential characterizations of covering, metric regularity, and Lipschitzian properties of multifunctions between Banach spaces
cites work: Strong CHIP, normality, and linear regularity of convex sets
cites work: Strong conical hull intersection property, bounded linear regularity, Jameson's property \((G)\), and error bounds in convex optimization
cites work: Bounded linear regularity, strong CHIP, and CHIP are distinct properties
cites work: Weak sharp minima revisited. II: Application to linear regularity and error bounds
cites work: A nonconvex separation property in Banach spaces
cites work: Metric regularity and subdifferential calculus
cites work: The strong conical hull intersection property for convex programming
cites work: Q4468713
cites work: Q3650039
cites work: Strict (ε, δ)-Subdifferentials and Extremality Conditions
cites work: On Fréchet subdifferentials
cites work: Weak Stationarity: Eliminating the gap between necessary and sufficient conditions
cites work: Q5462177
cites work: About stationarity and regularity in variational analysis
cites work: Constraint Qualification, the Strong CHIP, and Best Approximation with Convex Constraints in Banach Spaces
cites work: Rated extremal principles for finite and infinite systems
cites work: Tangential extremal principles for finite and infinite systems of sets. II: Applications to semi-infinite and multiobjective optimization
cites work: Regularities and their relations to error bounds
cites work: Metric inequality, subdifferential calculus and applications
cites work: The fuzzy intersection rule in variational analysis with applications
cites work: On the fuzzy intersection rule
cites work: Linear Regularity for a Collection of Subsmooth Sets in Banach Spaces
cites work: Stationarity and regularity of infinite collections of sets: applications to infinitely constrained optimization
cites work: The SECQ, Linear Regularity, and the Strong CHIP for an Infinite System of Closed Convex Sets in Normed Linear Spaces
cites work: Metric Regularity and Constraint Qualifications for Convex Inequalities on Banach Spaces
cites work: Uniform subsmoothness and linear regularity for a collection of infinitely many closed sets
cites work: Variational Analysis in Semi-Infinite and Infinite Programming, II: Necessary Optimality Conditions
cites work: New Farkas-type constraint qualifications in convex infinite programming
cites work: Constraint qualifications for semi-infinite systems of convex inequalities
cites work: Constraint qualifications for optimality conditions and total Lagrange dualities in convex infinite programming
cites work: On regularity for constrained extremum problems. I: Sufficient optimality conditions
cites work: On regularity for constrained extremum problems. II: Necessary optimality conditions
cites work: Q3149262
cites work: Convex Analysis
DOI: 10.1007/S10957-012-0043-4
description: scientific article; zbMATH DE number 6135549