∊-STRICTLY EFFICIENT SOLUTIONS OF VECTOR OPTIMIZATION PROBLEMS WITH SET-VALUED MAPS

Taiyong Li, Yihong Xu () and Chuanxi Zhu
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Taiyong Li: Department of Mathematics, Nanchang University, Nanchang 330031, China
Yihong Xu: Department of Mathematics, Nanchang University, Nanchang 330031, China
Chuanxi Zhu: Department of Mathematics, Nanchang University, Nanchang 330031, China

Asia-Pacific Journal of Operational Research (APJOR), 2007, vol. 24, issue 06, 841-854

Abstract: In this paper, the notion of ∊-strictly efficient solution for vector optimization with set-valued maps is introduced. Under the assumption of the ic-cone-convexlikeness for set-valued maps, the scalarization theorem, ∊-Lagrangian multiplier theorem, ∊-saddle point theorems and ∊-duality assertions are established for ∊-strictly efficient solution.

Keywords: ∊-strictly efficient solution; ic-cone-convexlikeness; ∊-strict saddle point; ∊-strict duality (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (3)

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DOI: 10.1142/S0217595907001577

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