On vector optimization when the ordering cone has an empty interior

Xun Hua GONG

系统科学与复杂性(英文) ›› 2000, Vol. 13 ›› Issue (1) : 17-022.

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系统科学与复杂性(英文) ›› 2000, Vol. 13 ›› Issue (1) : 17-022.
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On vector optimization when the ordering cone has an empty interior

    Xun Hua GONG
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On vector optimization when the ordering cone has an empty interior

    Xun Hua GONG
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摘要

In this paper,we present a sufficient and necessary condition for the existence of the Lagrange multiplier for the general convex vector optimization problem In the condition,we may allow that the constraint cone has an empty interior.

Abstract

In this paper,we present a sufficient and necessary condition for the existence of the Lagrange multiplier for the general convex vector optimization problem In the condition,we may allow that the constraint cone has an empty interior.

关键词

Convex vector optimization / Lagrange mult

Key words

Convex vector optimization / Lagrange multiplier / saddle point

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Xun Hua GONG. On vector optimization when the ordering cone has an empty interior. 系统科学与复杂性(英文), 2000, 13(1): 17-022
Xun Hua GONG. On vector optimization when the ordering cone has an empty interior. Journal of Systems Science and Complexity, 2000, 13(1): 17-022
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