Error bounds and implicit multifunction theorem in smooth Banach spaces and applications to optimization
type: Item
instance of: scholarly article
title: Error bounds and implicit multifunction theorem in smooth Banach spaces and applications to optimization
zbMATH Open document ID: 1058.49017
DOI: 10.1023/B:SVAN.0000023396.58424.98
author: Huynh Van Ngai
author: Michel Théra
published in: Set-Valued Analysis
publication date: 2004-08-19T00:00:00Z
review text: The authors establish local and global error bound estimates for a system of inequalities on a Banach space \(X\) and an implicit theorem for the problem \(S(p):=\{x\in X\mid 0\in F(x,p)\}\) in terms of smooth subdifferentials and presubdifferentials. They also derive a subdifferential calculus, and necessary optimality conditions of Fritz John type for a constrained optimization problem.
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 90C48
Mathematics Subject Classification ID: 90C46
Mathematics Subject Classification ID: 90C31
zbMATH DE Number: 2093342
zbMATH Keywords: error bound
zbMATH Keywords: subdifferential calculus
zbMATH Keywords: smooth Banach space
zbMATH Keywords: optimality condition
reviewed by: Constantin Zălinescu
MaRDI profile type: Publication
full work available at URL: b:svan.0000023396.58424.98
OpenAlex ID: W2070606259
description: scientific article; zbMATH DE number 2093342