Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (3): 700-707.

• Articles • Previous Articles     Next Articles

Common Fixed Points for a Pare of Mappings Satisfying Contractive Conditions with Variable Coefficients |on Metric Spaces

 YAN Jin-Shi, PIAO Yong-Jie*   

  1. Yanbian Education Publishing Company, Jilin |Yanji 133001; Department of Mathematics, College of Science, Yanbian University, Jilin |Yanji 133002
  • Received:2012-10-08 Revised:2014-04-06 Online:2014-06-25 Published:2014-06-25
  • Supported by:

    国家自然科学基金(11361064, 11261062)和 吉林省教育厅科研项目(吉教科合字[2011]第434号) 资助

Abstract:

In this paper, we use a pare of mappings satisfying contractive condition with some variable coefficients or Φ-contractive condition to construct a convergent sequence, and  prove that the unique limit of the sequence is the common fixed point of the two mappings and give  sufficient conditions that the pare of mappings have an unique common fixed point, and then give several particular conclusions. The obtained results in this paper generalize and improve some known results.

Key words: Hausdorff metric, Contractive condition, Common fixed point, Class Φ, Complete

CLC Number: 

  • 47H05
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