On set-valued complementarity problems
type: Item
instance of: scholarly article
title: On set-valued complementarity problems
zbMATH Open document ID: 1263.49015
DOI: 10.1155/2013/105930
author: Jein-Shan Chen
author: Jinchuan Zhou
author: Gue Myung Lee
published in: Abstract and Applied Analysis
publication date: 2013-05-08T00:00:00Z
review text: Summary: This paper investigates the Set-Valued Complementarity Problems (SVCPs) which pose rather different features from those that classical complementarity problems hold, due to the fact that the index set is not fixed, but dependent on \(x\). While comparing the set-valued complementarity problems with the classical complementarity problems, we analyze the solution set of SVCPs. Moreover, properties of merit functions for SVCPs are studied, such as being level bounded and error bounded. Finally, some possible research directions are discussed.
Mathematics Subject Classification ID: 49J53
Mathematics Subject Classification ID: 90C33
zbMATH DE Number: 6161305
zbMATH Keywords: set-valued complementarity problems
zbMATH Keywords: merit functions
zbMATH Keywords: level bounded
zbMATH Keywords: error bounded
Wikidata QID: Q58915288
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/105930
OpenAlex ID: W1999558422
cites work: Finite-Dimensional Variational Inequalities and Complementarity Problems
cites work: Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games
cites work: On the extended linear complementarity problem
cites work: The Extended Linear Complementarity Problem
cites work: Q3318568
cites work: Some developments in general variational inequalities
cites work: Extended general variational inequalities
cites work: Optimization. Algorithms and consistent approximations
cites work: Variational Analysis
cites work: Q5638112
cites work: Set-valued analysis
cites work: Q4003375
cites work: Some generalizations of positive definiteness and monotonicity
cites work: Expected Residual Minimization Method for Stochastic Linear Complementarity Problems
cites work: Robust solution of monotone stochastic linear complementarity problems
cites work: Stochastic $R_0$ Matrix Linear Complementarity Problems
cites work: Smoothing Projected Gradient Method and Its Application to Stochastic Linear Complementarity Problems
cites work: Solution properties and error bounds for semi-infinite complementarity problems
cites work: Properties and construction of NCP functions
cites work: Error bounds in mathematical programming
cites work: Computation of error bounds for P-matrix linear complementarity problems
cites work: Q4353536
description: scientific article; zbMATH DE number 6161305