Fixed point theorems of non-commuting mappings in b-multiplicative metric spaces

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.

کلیدواژه ها:

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