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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Bibliographic Details
Published in:Optimization letters Vol. 8; no. 4; pp. 1517 - 1528
Main Authors: Kanzi, N., Nobakhtian, S.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2014
Subjects:
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
Online Access:Get full text
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Summary: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