Department of Mathematics, Imam Abdulrahman Bin Faisal University, College of Education in Jubail, P.O. Box 12020, Industrial Jubail 31961, Saudi Arabia
Nihal Taş
Department of Mathematics, Balıkesir University, Balıkesir 10145, Turkey
Nihal Yılmaz Özgür
Department of Mathematics, Balıkesir University, Balıkesir 10145, Turkey
Nabil Mlaiki
Department of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia
In this manuscript, we present some results related to fixed-discs of self-mappings in rectangular metric spaces. To do this, we give new techniques modifying some classical notions such as Banach contraction principle, α-admissible mappings and Brianciari type contractions. We give necessary illustrative examples to show the validity of our obtained theoretical theorems. Our results are generalizations of some fixed-circle results existing in the literature.
