On Nacessary Optimality Conditions for Vector Optimization Problems

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國立中山大學應用數學系
學術演講
主講人:Prof. Gue Myung Lee
Department of Mathematics, Pukyong National University (Pusan,Korea)
講
題:On Nacessary Optimality Conditions for Vector Optimization
Problems
日
期:93 年 01 月 08 日(星期四)16:10 ~ 17:00
地
點:理學院四樓理 4009-1 室
茶
會:15:30 於理 4010 室
Abstract
In this talk, we prove a necessary optimality condition for weakly efficient
solutions of a vector optimization problem which involves lower
semicontinuous or continuous functions (not necessary, Lipschitz
function). For the proof, we use the extremal principle of Mordukhovich
and intersection theorem. Moreover from the above result, we deduce the
necessary optimality conditions which can be applicable to vector
optimization problems involving Lipschitz functions.
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