A common fixed point theorem under a new condition

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59 Citations (Scopus)


The aim of the present paper is to obtain a common fixed point theorem by using a new continuity condition. Our theorem generalizes a multitude of common fixed point theorems and is, perhaps, the first theorem guaranteeing the existence of a common fixed point even when all the mappings may be discontinuous and some of the mappings may not satisfy the compatibility condition.

Original languageEnglish
Pages (from-to)147-152
Number of pages6
JournalIndian Journal of Pure and Applied Mathematics
Issue number2
Publication statusPublished - Feb 1999
Externally publishedYes


  • Common Fixed Points
  • Compatible Maps
  • Contractive Conditions
  • Reciprocal Continuity

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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