%0 Journal Article
%T Fixed point theorems of non-commuting mappings in b-multiplicative metric spaces
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Singh, Maibam Ranjit
%A Singh, Thangjam Bimol
%A Singh, Yumnam Mahendra
%D 2021
%\ 11/01/2021
%V 12
%N 2
%P 1299-1315
%! Fixed point theorems of non-commuting mappings in b-multiplicative metric spaces
%K compatible mappings of type (E)
%K R-weakly commuting mappings of type (P)
%K multiplicative metric space
%K b-multiplicative metric space
%K common fixed points
%K compatible mapping
%K R-multiplicative metric space
%K orthogonal set
%R 10.22075/ijnaa.2021.22582.2388
%X 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.
%U https://ijnaa.semnan.ac.ir/article_5231_a3dd3bc906cd49809b1c3367fb9597d0.pdf