Title of article :
ON SOME COMMON FIXED POINT THEOREMS WITH RATIONAL EXPRESSIONS ON CONE METRIC SPACES OVER A BANACH ALGEBRA
Author/Authors :
Ozturk, Mahpeyker Sakarya University - Department of Mathematics, Turkey , Basarır, Metin Sakarya University - Department of Mathematics, Turkey
Abstract :
In the present paper we have defined a new space called a BA-cone metric space by taking a Banach algebra instead of a Banach space. Some common fixed point theorems involving rational expressions have been proved and some consequences obtained in these spaces. Also we have extended this work to four mappings with a weak commutativity property in BA-cone metric spaces.
Keywords :
Fixed point , Cone metric space , Metric space , Rational expression , Weak commutativity , Banach Algebra.
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics