Mathematical Theory and Modeling www.
iiste.
org
ISSN 2224-5804 (Paper) ISSN 2225-0522 (Online)
Vol.
1, No.
1, 2011
1 | P a g e
www.
iiste.
org
A Common Fixed Point Theorem for Two Weakly Compatible
Mappings Satisfying a New Contractive Condition of...
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Mathematical Theory and Modeling www.
iiste.
org
ISSN 2224-5804 (Paper) ISSN 2225-0522 (Online)
Vol.
1, No.
1, 2011
1 | P a g e
www.
iiste.
org
A Common Fixed Point Theorem for Two Weakly Compatible
Mappings Satisfying a New Contractive Condition of Integral
Type
Vishal Gupta1*
, Naveen Mani2
1.
Department Of Mathematics, Maharishi Markandeshwar University, Mullana,
Ambala, Haryana, (India)
2.
Department Of Mathematics, Maharishi Markandeshwar University, Mullana,
Ambala, Haryana, (India)
* E-mail of the corresponding author: vishal.
gmn@gmail.
com,
vkgupta09@rediffmail.
com
Abstract
In this paper we study a unique common fixed point theorem.
The existence of fixed
point for two weakly compatible maps is established under new contractive condition of
integral type by using another functions and .
Keywords: Fixed point, Complete metric space, Weakly Compatible maps.
1.
Introduction
The concept of commutativity has been used and generalized by many authors in several
ways.
For thi
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