Common fixed point theorems under a new continuity condition

R. P. Pant, R. K. Bisht

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


The aim of the present paper is to generalize the notion of reciprocal continuity and obtain common fixed point theorems in diverse settings as an application of the new notion. The new notion unifies the approaches of three well known notions- reciprocal continuity, subsequential continuity and conditional commutativity. Our results generalize and extend several fixed point theorems. We also demonstrate that the new notion is a necessary condition for the existence of common fixed points.

Original languageEnglish
Pages (from-to)127-141
Number of pages15
JournalAnnali dell'Universita di Ferrara
Issue number1
Publication statusPublished - May 2012
Externally publishedYes


  • (ε, δ) contractive condition
  • Compatible maps
  • Conditionally commuting mappings
  • Fixed point theorems
  • Noncompatible maps
  • Nonexpansive mapping
  • Reciprocal continuity
  • Subsequential continuity
  • Weak reciprocal continuity

ASJC Scopus subject areas

  • General Mathematics


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