Sensitivity analysis of gap functions for vector variational inequality via coderivatives

The aim of this article is to investigate codifferential properties of a class of set-valued maps and gap function involving vector variational inequality. Relationships between their coderivatives are discussed. Formulae for computing coderivatives of the gap function are established. Optimality co...

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Bibliographic Details
Published in:Optimization Vol. 63; no. 7; pp. 1075 - 1098
Main Authors: Li, S.J., Xue, X.W.
Format: Journal Article
Language:English
Published: Philadelphia Taylor & Francis Group 01.07.2014
Taylor & Francis LLC
Subjects:
coderivative
Codification
gap function
Inequalities
Mathematical analysis
Mathematical functions
Mathematical models
Mathematical problems
normal cone
Optimization
Optimization techniques
Sensitivity analysis
Studies
Vector space
vector variational inequality
Vectors (mathematics)
ISSN:0233-1934, 1029-4945
Online Access:Get full text
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Summary:The aim of this article is to investigate codifferential properties of a class of set-valued maps and gap function involving vector variational inequality. Relationships between their coderivatives are discussed. Formulae for computing coderivatives of the gap function are established. Optimality conditions of solutions for vector variational inequalities are obtained. The finite-dimensional cases are also discussed.
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ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2012.688970