Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (2): 487-493.

• Articles • Previous Articles     Next Articles

Unique Common Fixed Point |for a Family of Quasi-contractive Type Maps in Metrically Convex Spaces

 PIAO Yong-Jie   

  1. Department of Mathematics, Yanbian University, Jilin |Yanji 133002
  • Received:2008-09-18 Revised:2009-10-25 Online:2010-04-25 Published:2010-04-25
  • Supported by:

    国家自然科学基金(10361005)资助.

Abstract:

Existence and uniqueness theorem on a common fixed point  for a family of non-self mappings satisfying a quasi-contractive condition on complete metrically convex metric space is given, and from which, more general unique common fixed point theorems are obtained. The main results generalize and improve many fixed point theorems of the same type in references.

Key words: Metrically convex space, Quasi-contraction, Common fixed point, Complete

CLC Number: 

  • 47H25| 54H25| 55M20
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