TY - JOUR
ID - 5231
TI - Fixed point theorems of non-commuting mappings in b-multiplicative metric spaces
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN - 2008-6822
AU - Singh, Maibam Ranjit
AU - Singh, Thangjam Bimol
AU - Singh, Yumnam Mahendra
AD - Department of Mathematics, Manipur, 795003, Manipur University, Canchipur Imphal, India
AD - MU, Department of Mathematics, Manipur, 795003
Manipur University, Canchipur, Manipur, India.
AD - Department of Humanities and Basic Sciences, Manipur Institute of Technology, Takyelpat-795004, Manipur, India
Y1 - 2021
PY - 2021
VL - 12
IS - 2
SP - 1299
EP - 1315
KW - compatible mappings of type (E)
KW - R-weakly commuting mappings of type (P)
KW - multiplicative metric space
KW - b-multiplicative metric space
KW - common fixed points
KW - compatible mapping
KW - R-multiplicative metric space
KW - orthogonal set
DO - 10.22075/ijnaa.2021.22582.2388
N2 - 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.
UR - https://ijnaa.semnan.ac.ir/article_5231.html
L1 - https://ijnaa.semnan.ac.ir/article_5231_a3dd3bc906cd49809b1c3367fb9597d0.pdf
ER -