Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682212220211101Fixed point theorems of non-commuting mappings in b-multiplicative metric spaces12991315523110.22075/ijnaa.2021.22582.2388ENMaibam RanjitSinghDepartment of Mathematics, Manipur, 795003, Manipur University, Canchipur Imphal, IndiaThangjam BimolSinghMU, Department of Mathematics, Manipur, 795003
Manipur University, Canchipur, Manipur, India.Yumnam MahendraSinghDepartment of Humanities and Basic Sciences, Manipur Institute of Technology, Takyelpat-795004, Manipur, India0000-0002-8339-0731Journal Article20210205In 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.https://ijnaa.semnan.ac.ir/article_5231_a3dd3bc906cd49809b1c3367fb9597d0.pdf