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
Pages
17
From page
1299
To page
1315
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
Serial Year
2021
Record number
2701743
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