数学物理学报(英文版)

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

丘京辉;   

  1. 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   

  1. 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:

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:

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.

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

中图分类号: 

  • 90C30