Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (1): 59-66.

• Articles • Previous Articles     Next Articles

HAHN-BANACH THEOREM OF SET-VALUED MAP

Meng Zhiqing   

  1. Department of Computer Science. Xiangtan uinversity, Xiangtan 411105, P. R. China
  • Received:1996-01-26 Revised:1997-08-06 Online:1998-01-18 Published:1998-01-18
  • Supported by:

    Project supported by the National Natural Science Foundation of China and the Study Foundation of lhc Educational Commission of Hunan Province

Abstract: We have proved generalized Hahn-Banach theorem by using the concept ofefficient for K-convex multifunction and K-sublinear multifunction in partially orderedlocally convex topological vector space.

Key words: multifunction, K-convex, K-sublinear, K-wead efficient point

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