American Institute of Mathematical Sciences

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October  2009, 5(4): 783-790. doi: 10.3934/jimo.2009.5.783

Optimality conditions for vector equilibrium problems with constraints

Qiu-Sheng Qiu 1,

1. 

Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, China

Received  January 2009 Revised  July 2009 Published  August 2009

In this paper, the necessary and sufficient conditions for weakly efficient solution of the vector equilibrium problems with constraints are obtained. The Kuhn-Tucker condition for weakly efficient solution of the vector equilibrium problems is derived. As interesting applications of the results in the paper, we obtain the optimality conditions for vector optimization problems with constraints.
Keywords: Optimality condition, Kuhn-Tucker condition., Vector equilibrium problem, weakly efficient solution.
Mathematics Subject Classification: 49J40, 49K27, 65K1.
Citation: Qiu-Sheng Qiu. Optimality conditions for vector equilibrium problems with constraints. Journal of Industrial & Management Optimization, 2009, 5 (4) : 783-790. doi: 10.3934/jimo.2009.5.783
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