Common fixed points of conditionally commuting maps

Vyomesh Pant, R. P. Pant

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)


In the instant paper, redefining the concept of occasionally weakly compatible mappings, given by Jungck and Rhoades [3], we introduce the notion of conditionally commuting mappings. We first prove a common fixed point theorem (Theorem 1) for a pair of noncompatible mappings without assuming completeness of the space or continuity of the mappings involved. This theorem extends the result of Pant [7]. In Theorem 2, we further generalize the result obtained in Theorem 1. For this purpose we use the property (E.A) given by Aamri and Moutawakil [1].

Original languageEnglish
Pages (from-to)113-118
Number of pages6
JournalFixed Point Theory
Issue number1
Publication statusPublished - 2010
Externally publishedYes


  • Conditionally commuting maps
  • Noncompatible maps
  • Property (E.A) and common fixed points

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics


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