Document Type : Research Paper
Department of Mathematics, Manipur, 795003, Manipur University, Canchipur Imphal, India
MU, Department of Mathematics, Manipur, 795003 Manipur University, Canchipur, Manipur, India.
Department of Humanities and Basic Sciences, Manipur Institute of Technology, Takyelpat-795004, Manipur, India
In this paper, we discuss some common fixed point theorems for compatible mappings of type $(E)$ and $R-$weakly commuting mappings of type $(P)$ of a complete $b-$multiplicative metric space along with some examples. As an application, we establish an existence and uniqueness theorem for a solution of a system of multiplicative integral equations. In the last section, we introduce the concept of $R-$multiplicative metric space by giving some examples and at the end of the section, we give an open question.