Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (9): 831-836.

• Articles • Previous Articles     Next Articles

BEST APPROXIMATION THEOREM FOR SET-VALUED MAPPINGS WITHOUT CONVEX VELUES AND CONTINUITY

Ding Xieping, He Yiran   

  1. Sichuan Normal University, Chengdu 610066, P. R. China
  • Received:1997-01-30 Online:1998-09-18 Published:1998-09-18
  • Supported by:
    Project supported by the Natural Science Foundation of Sichuan Education Committee, P. R.China

Abstract: In this paper, a new concept of weakly ,convex graph for set-valued mappings is introduced and studied. By using the concept, some new coincidence, the bestapproximation and fixed point-theorems are obtained.

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