C*-algebra valued partial metric space and some fixed point and coincidence point results

نویسندگان
Biswas, Priyanka ID 1
Mohanta, Sushanta Kumar ID 2

1 Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), West Bengal, Kolkata 700126, India

2 Department of Mathematics, West Bengal State University, Barasat, 24 Parganas (North), West Bengal, Kolkata 700126, India

doi
10.22075/ijnaa.2022.23731.2590
چکیده

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.

کلیدواژه‌ها
Partial metric, C*-algebra valued partial metric, C*-algebra valued contraction, Fixed point