Journal of Natural Sciences Research www.
iiste.
org
ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online)
Vol.
1, No.
1, 2011
1 | P a g e
www.
iiste.
org
A Common Fixed Point Theorem for Compatible Mapping
Vishal Gupta*
Department Of Mathematics, Maharishi...
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Journal of Natural Sciences Research www.
iiste.
org
ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online)
Vol.
1, No.
1, 2011
1 | P a g e
www.
iiste.
org
A Common Fixed Point Theorem for Compatible Mapping
Vishal Gupta*
Department Of Mathematics, Maharishi Markandeshwar University, Mullana,
Ambala, Haryana, (India)
* E-mail of the corresponding author: vishal.
gmn@gmail.
com,
vkgupta09@rediffmail.
com
Abstract
The main aim of this paper is to prove a common fixed point theorem involving pairs of
compatible mappings of type (A) using five maps and a contractive condition.
This article
represents a useful generalization of several results announced in the literature.
Key words: Complete metric space, Compatible mapping of type (A), Commuting
mapping, Cauchy Sequence, Fixed points.
1.
Introduction
By using a compatibility condition due to Jungck many researchers establish lot of
common fixed point theorems for mappings on complete and compact metric spaces.
The
study of common fixed point
Less
