Relationships between Robinson metric regularity and Lipschitz-like behavior of implicit multifunctions
type: Item
instance of: scholarly article
title: Relationships between Robinson metric regularity and Lipschitz-like behavior of implicit multifunctions
zbMATH Open document ID: 1186.49015
author: Jen-Chih Yao
author: Nguyen Huy Chieu
author: Nguyen Dong Yen
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-03-29T00:00:00Z
Mathematics Subject Classification ID: 49J53
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47J07
Mathematics Subject Classification ID: 49N60
Mathematics Subject Classification ID: 49J52
zbMATH DE Number: 5687522
zbMATH Keywords: implicit multifunction
zbMATH Keywords: Robinson metric regularity
zbMATH Keywords: Lipschitz-like property
zbMATH Keywords: relationship
zbMATH Keywords: normal coderivative
MaRDI profile type: Publication
full work available at URL: j.na.2009.12.039
OpenAlex ID: W2072522538
cites work: Solution Stability of Nonsmooth Continuous Systems with Applications to Cone-Constrained Optimization
cites work: Point-based sufficient conditions for metric regularity of implicit multifunctions
cites work: Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
cites work: Stability and regular points of inequality systems
cites work: Techniques of variational analysis
cites work: Q5483177
cites work: Stability of implicit multifunctions in Asplund spaces
cites work: Implicit multifunction theorems
cites work: Normal coderivative for multifunctions and implicit function theorems
cites work: Error bounds and implicit multifunction theorem in smooth Banach spaces and applications to optimization
cites work: On implicit function theorems for set-valued maps and their application to mathematical programming under inclusion constraints
cites work: Implicit function theorems for set-valued maps
cites work: Stability of the solution set of perturbed nonsmooth inequality systems and application
cites work: Coderivative calculations related to a parametric affine variational inequality. I: Basic calculations
cites work: Q3183655
cites work: Stability Theory for Systems of Inequalities. Part I: Linear Systems
cites work: Metric regularity and Lipschitzian stability of parametric variational systems
cites work: Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets
cites work: Lipschitz Behavior of Solutions to Convex Minimization Problems
cites work: Implicit Functions, Lipschitz Maps, and Stability in Optimization
cites work: Lipschitzian properties of multifunctions
cites work: Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps
cites work: Metric regularity, openness and Lipschitzian behavior of multifunctions
cites work: Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
cites work: Covering properties at positive-order rates of multifunctions and some related topics
cites work: Coderivatives in parametric optimization
cites work: Failure of metric regularity for major classes of variational systems
cites work: Variational Analysis
DOI: 10.1016/J.NA.2009.12.039
description: scientific article; zbMATH DE number 5687522