Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2013; 28(3): 597-602

Printed July 1, 2013

https://doi.org/10.4134/CKMS.2013.28.3.597

Copyright © The Korean Mathematical Society.

Duality theorem and vector saddle point theorem for robust multiobjective optimization problems

Moon Hee Kim

Tongmyong University

Abstract

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In this paper, Mond-Weir type duality results for a uncertain multiobjective robust optimization problem are given under generalized invexity assumptions. Also, weak vector saddle-point theorems are obtained under convexity assumptions.

Keywords: robust multiobjective optimization, robust weakly efficient solution, necessary optimality theorem, Mond-Weir type robust duality

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