Variational convergence of bivariate functions: Lopsided convergence
type: Item
instance of: scholarly article
title: Variational convergence of bivariate functions: Lopsided convergence
zbMATH Open document ID: 1162.65036
author: Roger J.-B. Wets
author: Alejandro Jofre
published in: Mathematical Programming. Series A. Series B
publication date: 2008-12-16T00:00:00Z
review text: For bivariate functions \(F:C\times D\to \mathbb{R}\) the following problem is important: the finding of a maxinf-point \(\overline x\in C\), that maximizes with respect to the first variable \(x\), the infimum of \(F\) with respect to the second variable \(y\). The authors explore convergence notions for bivariate functions that yield convergence and stability results for their maxinf-points.
reviewed by: Hans Benker
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 5382677
zbMATH Keywords: lopsided convergence
zbMATH Keywords: maxinf-points
zbMATH Keywords: Ky Fan functions
zbMATH Keywords: variational inequalities
zbMATH Keywords: epi-convergence
MaRDI profile type: Publication
full work available at URL: s10107-007-0122-8
OpenAlex ID: W2036071135
cites work: Q5186236
cites work: A Convergence Theory for Saddle Functions
cites work: Q3782303
cites work: Set-valued analysis
cites work: Q4057217
cites work: Q5480815
cites work: Continuity properties of Walras equilibrium points
cites work: Convergences of marginal functions with dependent constraints
cites work: Convex Analysis
cites work: Variational Analysis
DOI: 10.1007/S10107-007-0122-8
description: scientific article; zbMATH DE number 5382677