TY - JOUR
ID - 6507
TI - C*-algebra valued partial metric space and some fixed point and coincidence point results
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Mohanta, Sushanta Kumar
AU - Biswas, Priyanka
AD - Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), West Bengal, Kolkata 700126, India
Y1 - 2022
PY - 2022
VL - 13
IS - 2
SP - 1535
EP - 1551
KW - Partial metric
KW - C*-algebra valued partial metric
KW - C*-algebra valued contraction
KW - Fixed point
DO - 10.22075/ijnaa.2022.23731.2590
N2 - In this paper, we introduce the concept of C*-algebra valued partial metric as a generalization of partial metric and discuss the existence and uniqueness of fixed points for a self mapping defined on a C*-algebra valued partial metric space. We use these results to obtain some coincidence point and common fixed point results in this setting. Some examples are provided to justify our results.
UR - https://ijnaa.semnan.ac.ir/article_6507.html
L1 - https://ijnaa.semnan.ac.ir/article_6507_a16ed15b11f17ef47db4b3c625ccefaf.pdf
ER -