CONE--DIRECTED CONTINGENT DERIVATIVES AND GENERALIZED PREINVEX SET-VALUED OPTIMIZATION

doi:10.1016/S0252-9602(07)60019-8

数学物理学报(英文版)

CONE--DIRECTED CONTINGENT DERIVATIVES AND GENERALIZED PREINVEX SET-VALUED OPTIMIZATION

丘京辉;

苏州大学数学系, 苏州 215006

收稿日期:2004-12-21 修回日期:2005-05-20 出版日期:2007-01-20 发布日期:2007-01-20
通讯作者: 丘京辉
基金资助:
Supported by the National Natural Science Foundation of China (10571035)

CONE--DIRECTED CONTINGENT DERIVATIVES AND GENERALIZED PREINVEX SET-VALUED OPTIMIZATION

Qiu Jinghui

Department of Mathematics, Suzhou University, Suzhou 215006, China

Received:2004-12-21 Revised:2005-05-20 Online:2007-01-20 Published:2007-01-20
Contact: Qiu Jinghui

摘要/Abstract

摘要：

By using cone-directed contingent derivatives, the unified necessary and sufficient optimality conditions are given for weakly and strongly minimal elements respectively in generalized preinvex set-valued optimization.

关键词: Preinvex set-valued optimization, cone-directed contingent derivative, optimality conditions

Abstract:

Key words: Preinvex set-valued optimization, cone-directed contingent derivative, optimality conditions

中图分类号:

90C30

丘京辉;. CONE--DIRECTED CONTINGENT DERIVATIVES AND GENERALIZED PREINVEX SET-VALUED OPTIMIZATION[J]. 数学物理学报(英文版), 2007, 27(1): 211-218.

Qiu Jinghui. CONE--DIRECTED CONTINGENT DERIVATIVES AND GENERALIZED PREINVEX SET-VALUED OPTIMIZATION[J]. Acta mathematica scientia,Series B, 2007, 27(1): 211-218.

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CONE--DIRECTED CONTINGENT DERIVATIVES AND GENERALIZED PREINVEX SET-VALUED OPTIMIZATION

CONE--DIRECTED CONTINGENT DERIVATIVES AND GENERALIZED PREINVEX SET-VALUED OPTIMIZATION

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