Acta mathematica scientia,Series B

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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

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

CLC Number: 

  • 90C30
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