Said Atallaoui, Abdalla Tallafha, and Wasfi Shatanawi. Common Fixed Point Theorems with ꞷt-Distance for Mappings of Cyclic Form. Dynamic Systems And Applications 30 (2021) No.3, 425-438

https://doi.org/10.46719/dsa20213038

ABSTRACT.
In this paper, we derive and prove some common fixed point theorems using the notion of ꞷt-distance that was introduced by Hussain et al. [N. Hussain, R. Saadati, R.P. Agrawal, On the topology and ꞷt–distance on metric type spaces, Fixed Point Theory Appl., 2014(1): 1-14, 2014] in the setting of b-metric spaces for mappings of cyclic form under linear contractive conditions. Our result extend and generalize many existing results in the literature.

 AMS (MOS) Subject Classification. 39A10.

 Key Words: Common fixed point; $b$-metric space; $\omega t$-distance; cyclic mapping.