Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (1): 152-160.

• Articles • Previous Articles     Next Articles

SUPER EFFICIENCY IN THE NEARLY CONE-SUBCONVEXLIKE VECTOR OPTIMIZATION
WITH SET-VALUED FUNCTIONS

 XU Xi-Gong, LIU San-Yang   

  • Online:2005-01-20 Published:2005-01-20
  • Supported by:

    This research was supported by the National Natural Science Foundation of China
    (10261006), the Natural Science Foundation of Jiangxi Province (0412013) and the Basic Theory Foundation of
    Nanchang University

Abstract:

Some properties for convex cones are discussed, which are used to obtain an
equivalent condition and another important property for nearly cone-subconvexlike set-
valued functions. Under the nearly cone-subconvexlikeness, some characterizations of the
super efficiency are given in terms of scalarization and Lagrangian multipliers. Related
results are generalized.

Key words: Nearly cone-subconvexlikeness;convex cones;super efficiency;scalarization;Lagrangian multipliers

CLC Number: 

  • 90C
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