Necessary optimality conditions for a class of nonsmooth vector optimization

The Kuhn-Tucker type necessary conditions of weak efficiency are given for the problem of minimizing a vector function whose each component is the sum of a differentiable function and a convex function, subject to a set of differentiable nonlinear inequalities on a convex subset C of ℝ n , under the...

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Bibliographic Details
Published inActa Mathematicae Applicatae Sinica Vol. 25; no. 1; pp. 87 - 94
Main Authors Wu, Hui-xian, Luo, He-zhi
Format Journal Article
LanguageEnglish
Published Heildeberg Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.01.2009
Subjects
Applications of Mathematics
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
90C32
necessary conditions
weak efficiency
constraint qualifications
Vector optimization problems
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ISSN0168-9673
1618-3932
DOI10.1007/s10255-006-6049-7

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Summary:The Kuhn-Tucker type necessary conditions of weak efficiency are given for the problem of minimizing a vector function whose each component is the sum of a differentiable function and a convex function, subject to a set of differentiable nonlinear inequalities on a convex subset C of ℝ n , under the conditions similar to the Abadie constraint qualification, or the Kuhn-Tucker constraint qualification, or the Arrow-Hurwicz-Uzawa constraint qualification.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-006-6049-7