Banach Contraction Principle and Completeness
  Revised:April 16, 1996
Key Words: Banach contraction principle   completeness   patt completeness.  
Fund Project:
Author NameAffiliation
Xiang Shuwen Dept. of Math.
Guizhou Normal University
Guiyang 550001 
Xiang Shufang Dept. of Math.
Xi′an Jiaotong University
710049 
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Abstract:
      In this paper, a new result for completeness and Banach contraction principle is obtained. We prove that Banach contraction principle is equivalent to the path completeness, and we also give a necessary and sufficient condition which grarantees the equivalence of completeness and Banach contraction principle.
Citation:
DOI:10.3770/j.issn:1000-341X.1997.01.029
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