C-class function on khan type fixed point theorems in generalized metric space

Arslan Hojat Ansari, Naeem Saleem, Brian Fisher, M. S. Khan

Research output: Contribution to journalArticle

Abstract

The aim of this article is to study common fixed point theorems in generalized metric spaces and obtain sufficient conditions for the existence of C-class function on Khan type common fixed points of a pair of mappings satisfying generalized contraction involving rational expressions. Also, some examples are obtained to support the obtained result. Also obtained results further generalize, extend and unify already existing results in literature.

Original languageEnglish
Pages (from-to)3483-3494
Number of pages12
JournalFilomat
Volume31
Issue number11
DOIs
Publication statusPublished - 2017

Fingerprint

Generalized Metric Space
Fixed point theorem
Common Fixed Point
Rational expression
Generalized Contraction
Generalise
Sufficient Conditions
Class

Keywords

  • C-class function
  • Common fixed point
  • Contractive type mapping
  • Generalized metric space

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

C-class function on khan type fixed point theorems in generalized metric space. / Ansari, Arslan Hojat; Saleem, Naeem; Fisher, Brian; Khan, M. S.

In: Filomat, Vol. 31, No. 11, 2017, p. 3483-3494.

Research output: Contribution to journalArticle

Ansari, Arslan Hojat ; Saleem, Naeem ; Fisher, Brian ; Khan, M. S. / C-class function on khan type fixed point theorems in generalized metric space. In: Filomat. 2017 ; Vol. 31, No. 11. pp. 3483-3494.
@article{03bbc9bbd7734c0eb91f7e3a300247ca,
title = "C-class function on khan type fixed point theorems in generalized metric space",
abstract = "The aim of this article is to study common fixed point theorems in generalized metric spaces and obtain sufficient conditions for the existence of C-class function on Khan type common fixed points of a pair of mappings satisfying generalized contraction involving rational expressions. Also, some examples are obtained to support the obtained result. Also obtained results further generalize, extend and unify already existing results in literature.",
keywords = "C-class function, Common fixed point, Contractive type mapping, Generalized metric space",
author = "Ansari, {Arslan Hojat} and Naeem Saleem and Brian Fisher and Khan, {M. S.}",
year = "2017",
doi = "10.2298/FIL1711483A",
language = "English",
volume = "31",
pages = "3483--3494",
journal = "Filomat",
issn = "0354-5180",
publisher = "Universitet of Nis",
number = "11",

}

TY - JOUR

T1 - C-class function on khan type fixed point theorems in generalized metric space

AU - Ansari, Arslan Hojat

AU - Saleem, Naeem

AU - Fisher, Brian

AU - Khan, M. S.

PY - 2017

Y1 - 2017

N2 - The aim of this article is to study common fixed point theorems in generalized metric spaces and obtain sufficient conditions for the existence of C-class function on Khan type common fixed points of a pair of mappings satisfying generalized contraction involving rational expressions. Also, some examples are obtained to support the obtained result. Also obtained results further generalize, extend and unify already existing results in literature.

AB - The aim of this article is to study common fixed point theorems in generalized metric spaces and obtain sufficient conditions for the existence of C-class function on Khan type common fixed points of a pair of mappings satisfying generalized contraction involving rational expressions. Also, some examples are obtained to support the obtained result. Also obtained results further generalize, extend and unify already existing results in literature.

KW - C-class function

KW - Common fixed point

KW - Contractive type mapping

KW - Generalized metric space

UR - http://www.scopus.com/inward/record.url?scp=85021362652&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85021362652&partnerID=8YFLogxK

U2 - 10.2298/FIL1711483A

DO - 10.2298/FIL1711483A

M3 - Article

AN - SCOPUS:85021362652

VL - 31

SP - 3483

EP - 3494

JO - Filomat

JF - Filomat

SN - 0354-5180

IS - 11

ER -