Lipschitz behavior of solutions to nonconvex semi-infinite vector optimization problems

This paper is devoted to developing new applications from the limiting subdifferential in nonsmooth optimization and variational analysis to the study of the Lipschitz behavior of the Pareto solution maps in parametric nonconvex semi-infinite vector optimization problems (SIVO for brevity). We estab...

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Bibliographic Details
Published inJournal of global optimization Vol. 56; no. 2; pp. 431 - 448
Main Authors Huy, N. Q., Kim, D. S.
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.06.2013
Springer
Springer Nature B.V
Subjects
Applied mathematics
Banach spaces
Computer Science
Constraining
Mathematical analysis
Mathematical functions
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Pareto optimality
Pareto optimum
Perturbation methods
Real Functions
Studies
Vectors (mathematics)
Pareto solution map
90C31
Constraint qualification
Aubin Lipschitz-like property
Nonconvex semi-infinite vector optimization
90C34
90C29
Perturbations
46N10
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ISSN0925-5001
1573-2916
DOI10.1007/s10898-011-9829-4

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Summary:This paper is devoted to developing new applications from the limiting subdifferential in nonsmooth optimization and variational analysis to the study of the Lipschitz behavior of the Pareto solution maps in parametric nonconvex semi-infinite vector optimization problems (SIVO for brevity). We establish sufficient conditions for the Aubin Lipschitz-like property of the Pareto solution maps of SIVO under perturbations of both the objective function and constraints.
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ISSN:0925-5001
1573-2916
DOI:10.1007/s10898-011-9829-4