Author/Authors :
Yılmaz O¨ zgu¨ r, Nihal Department of Mathematics - Balikesir University - 10145 Balikesir, Turkey , Mlaiki, Nabil Department of Mathematical Sciences - Prince Sultan University - Riyadh, Saudi Arabia , Tas¸, Nihal Department of Mathematics - Balikesir University - 10145 Balikesir, Turkey , Souayah, Nizar Department of Natural Sciences - Community College ALRiyadh - King Saud University - Riyadh, Saudi Arabia - ESSECT, University of Tunis - Tunis -Tunisia
Abstract :
In this paper, we introduce the concept of the rectangular M-metric spaces, along with its topology and we prove some
fixed-point theorems under different contraction principles with various techniques. The obtained results generalize some
classical fixed-point results such as the Banach’s contraction principle, the Kannan’s fixed-point theorem and the Chatterjea’s
fixed-point theorem. Also we give an application to the fixed-circle problem.
