Common fixed point results for three maps in generalized metric space

Mujahid Abbas, Talat Nazir, Reza Saadati

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

Mustafa and Sims [Fixed Point Theory Appl. 2009, Article ID 917175, 10, (2009)] generalized a concept of a metric space and proved fixed point theorems for mappings satisfying different contractive conditions. In this article, we extend and generalize the results obtained by Mustafa and Sims and prove common fixed point theorems for three maps in these spaces. It is worth mentioning that our results do not rely on continuity and commutativity of any mappings involved therein. We also introduce the notation of a generalized probabilistic metric space and obtain common fixed point theorem in the frame work of such spaces.

Original languageEnglish
Article number49
JournalAdvances in Difference Equations
Volume2011
DOIs
Publication statusPublished - 2011
Externally publishedYes

Keywords

  • Common fixed point
  • Generalized metric space

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Common fixed point results for three maps in generalized metric space'. Together they form a unique fingerprint.

Cite this