ON SOME COMMON FIXED POINT THEOREMS WITH RATIONAL EXPRESSIONS ON CONE METRIC SPACES OVER A BANACH ALGEBRA

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.