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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Vydáno v:Journal of global optimization Ročník 56; číslo 2; s. 431 - 448
Hlavní autoři: Huy, N. Q., Kim, D. S.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Boston Springer US 01.06.2013
Springer
Springer Nature B.V
Témata:
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
ISSN:0925-5001, 1573-2916
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Popis
Shrnutí: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.
Bibliografie:SourceType-Scholarly Journals-1
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ISSN:0925-5001
1573-2916
DOI:10.1007/s10898-011-9829-4