Weak reciprocal continuity and fixed point theorems

R. P. Pant, R. K. Bisht, D. Arora

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)

Abstract

The aim of the present paper is to introduce the notion of weak reciprocal continuity and obtain fixed point theorems by employing the new notion. The new notion is a proper generalization of reciprocal continuity and is applicable to compatible mappings as well as noncompatible mappings. Our results generalize several fixed point theorems.

Original languageEnglish
Pages (from-to)181-190
Number of pages10
JournalAnnali dell'Universita di Ferrara
Volume57
Issue number1
DOIs
Publication statusPublished - May 2011
Externally publishedYes

Keywords

  • Compatible maps
  • Fixed point theorems
  • Noncompatible maps
  • Nonexpansive mapping
  • R-weakly commuting mappings
  • R-weakly commuting of type (A) and of type (A)
  • Reciprocal continuity

ASJC Scopus subject areas

  • General Mathematics

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