Some coupled coincidence and coupled common fixed point result in dislocated quasi b-metric spaces for rational type contraction mappings

نویسندگان
Yimer, Mesaud Tesfaye ID 1
Koyas, Kidane ID 2
Gebregiorgis, Solomon ID 3

1 Department of Mathematics, College of Natural and Computational Science, Samara University, Samara,Ethiopia

2 Department of Mathematics, Jimma University, Jimma, Ethiopia

3 Department of Mathematics, Jimma University, Jimma, Ethiopia

doi
10.22075/ijnaa.2020.21543.2270
چکیده

The aim of this paper is to establish coupled coincidence and coupled common fixed point theorems involving a pair of weakly compatible mappings satisfying rational type contractive condition in the setting of dislocated quasi b-metric spaces. The presented result improves and generalizes several well-known comparable results in the existing literature. We also provided an example in support of our main result.

کلیدواژه‌ها
Dislocated quasi b-metric space, coupled coincidence point, coupled common fixed point, weakly compatible mapping