Optimality conditions for nonsmooth semi-infinite multiobjective programming

This paper is devoted to the study of nonsmooth multiobjective semi-infinite programming problems in which the index set of the inequality constraints is an arbitrary set not necessarily finite. We introduce several kinds of constraint qualifications for these problems, and then necessary optimality...

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Vydané v:Optimization letters Ročník 8; číslo 4; s. 1517 - 1528
Hlavní autori: Kanzi, N., Nobakhtian, S.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2014
Predmet:
Computational Intelligence
Mathematics
Mathematics and Statistics
Numerical and Computational Physics
Operations Research/Decision Theory
Optimization
Original Paper
Simulation
Optimality conditions
Semi-infinite programming
90C40
Nonsmooth analysis
49J52
Multiobjective programming
90C34
ISSN:1862-4472, 1862-4480
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Popis
Shrnutí:This paper is devoted to the study of nonsmooth multiobjective semi-infinite programming problems in which the index set of the inequality constraints is an arbitrary set not necessarily finite. We introduce several kinds of constraint qualifications for these problems, and then necessary optimality conditions for weakly efficient solutions are investigated. Finally by imposing assumptions of generalized convexity we give sufficient conditions for efficient solutions.
ISSN:1862-4472
1862-4480
DOI:10.1007/s11590-013-0683-9