Title of article :
Fixed point theorems of non-commuting mappings in b-multiplicative metric spaces
Author/Authors :
Ranjit Singh, Maibam Department of Mathematics - Manipur University, Canchipur Imphal, India , Bimol Singh, Thangjam Department of Mathematics - Manipur University, Canchipur, Manipur, India , Mahendra Singh, Yumnam Department of Humanities and Basic Sciences - Manipur Institute of Technology ,Manipur, India
Abstract :
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
Keywords :
compatible mappings of type (E) , R-weakly commuting mappings of type (P) , multiplicative metric space , b-multiplicative metric space , common fixed points , compatible mapping , R-multiplicative metric space , orthogonal set
Journal title :
International Journal of Nonlinear Analysis and Applications
