Acta mathematica scientia,Series A ›› 2004, Vol. 24 ›› Issue (4): 426-434.

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Duality in Vector Optimization of Setvalued Maps with Super Efficient Solutions

 CHENG Bao-Fu, ZHOU Rong-Beng, LIU San-Yang   

  • Online:2004-08-25 Published:2004-08-25
  • Supported by:

    浙江省自然科学基金(102002)和国家自然科学基金(10371024)资助

Abstract:

A generalized KuhnTucker optimality condition of constrained vector optimization of setvalued maps  with   super efficiency is obtained with the help of the  Contingent tangent derivatives which are developed with the aid of Contingent tangent cone and the epigraphy of the setvalued map, with which the weak duality theorems, direct duality theorems and the converse the orems for Wolfe type and MondWeir type duality are established.

Key words: Contingent tangent cone, Setvalued map, Super efficiency, Duality.

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