J4 ›› 2010, Vol. 45 ›› Issue (12): 75-77.

• Articles • Previous Articles     Next Articles

Cellina approximation theorem in a hyperconvex metric  space and its applications

YANG Shao-hua1, LIANG Feng2   

  1. 1. School of Mathematics and Computational Science, Fuyang Teachers College, Fuyang 236041, Anhui, China;
    2. College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui, China
  • Received:2010-03-10 Online:2010-12-16 Published:2011-03-16

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Abstract:

The Cellina approximation theorem is proved in a hyperconvex metric space. A fixed point theorem is obtained in a hyperconvex metric space based on the Cellina approximation theorem.

Key words:  hyperconvex metric space; admissible set; set-valued mapping; upper semi-continuity; fixed point theorem

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