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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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
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Abstract 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 （weakly） LU-efficient solution and several duality results in Mond-Weir sense are proved under assumptions that the functions constituting the considered nondifferentiable multiobjective programming problem with the multiple interval- objective function are convex.
AbstractList 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 （weakly） LU-efficient solution and several duality results in Mond-Weir sense are proved under assumptions that the functions constituting the considered nondifferentiable multiobjective programming problem with the multiple interval- objective function are convex.
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 (weakly) LU-efficient solution and several duality results in Mond-Weir sense are proved under assumptions that the functions constituting the considered nondifferentiable multiobjective programming problem with the multiple interval-objective function are convex.
Author Tadeusz ANTCZAK
AuthorAffiliation Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238 Lodz, Poland
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Issue 4
Keywords 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
Language English
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Notes nonsmooth multiobjective programming problem with the multiple interval- objective function; Fritz John necessary optimality conditions; Karush-Kuhn- Tucker necessary optimality conditions; （weakly） LU-efficient solution; Mond- Weir duality
42-1227/O
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 （weakly） LU-efficient solution and several duality results in Mond-Weir sense are proved under assumptions that the functions constituting the considered nondifferentiable multiobjective programming problem with the multiple interval- objective function are convex.
PageCount 18
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Publisher Elsevier Ltd
Faculty of Mathematics and Computer Science,University of Lód(z),Banacha 22,90-238 Lód(z),Poland
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Snippet In this paper, both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a （weakly） LU-efficient solution in the considered...
In this paper, both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a (weakly) LU-efficient solution in the considered...
In this paper,both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a (weakly) LU-efficient solution in the considered...
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SubjectTerms (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
Title OPTIMALITY CONDITIONS AND DUALITY RESULTS FOR NONSMOOTH VECTOR OPTIMIZATION PROBLEMS WITH THE MULTIPLE INTERVAL-VALUED OBJECTIVE FUNCTION
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