拓扑向量空间中多目标优化问题的广义鞍点条件

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The condition for generalized saddle points for multiobjective optimization problems in topological vector space

YU Guo-lin(1,2);LIU San-yang(1)

(1) School of Science, Xidian Univ., Xi′an 710071， China
(2) The Second Northwest Inst. Ethnic Minority, Yinchuan 750021， China

Received:1900-01-01 Revised:1900-01-01 Online:2006-06-20 Published:2006-06-20

Abstract

Abstract: Based on the importance of saddle points in theory and application for multiobjective optimization problems, this paper introduces a new kind of generalized saddle points and points out that other saddle points belong to a special case. By using the properties of a cone, the discriminant condition and some properties of generalized saddle points are obtained.

Key words: multiobjective optimization, cone, generalized saddle points, Gateaux differentiable

CLC Number:

O221.2

YU Guo-lin(1;2);LIU San-yang(1).

The condition for generalized saddle points for multiobjective optimization problems in topological vector space

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The condition for generalized saddle points for multiobjective optimization problems in topological vector space

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