OPTIMALITY CONDITIONS AND DUALITY RESULTS FOR NONSMOOTH VECTOR OPTIMIZATION PROBLEMS WITH THE MULTIPLE INTERVAL-VALUED OBJECTIVE FUNCTION

In this paper, both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a （weakly） LU-efficient solution in the considered nonsmooth multiobjective programming problem with the multiple interval-objective function. Further, the sufficient optimality conditions for a...

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Bibliographic Details
Published in:	Acta mathematica scientia Vol. 37; no. 4; pp. 1133 - 1150
Main Author:	ANTCZAK, Tadeusz
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.07.2017 Faculty of Mathematics and Computer Science,University of Lód(z),Banacha 22,90-238 Lód(z),Poland
Subjects:	(weakly) LU-efficient solution 90C25 90C29 90C30 90C46 Fritz John necessary optimality conditions Karush-Kuhn-Tucker necessary optimality conditions Mond-Weir duality nonsmooth multiobjective programming problem with the multiple interval-objective function 不可微多目标区间向量优化问题最优性必要条件最优性条件目标函数规划问题非光滑 Karush-Kuhn-Tucker necessary optimality conditions (weakly) LU-efficient solution 90C30 90C46 90C25 Fritz John necessary optimality conditions 90C29 nonsmooth multiobjective programming problem with the multiple interval-objective function Mond-Weir duality
ISSN:	0252-9602, 1572-9087
Online Access:	Get full text
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