Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201070320180901Suzuki-Berinde type fixed-point and fixed-circle results on $S$-metric spaces233244543020ENN. TAŞDepartment of Mathematics, Bali kesir University, 10145 Balikesir, Turkey0000-0002-4535-4019Journal Article20180326In this paper, the notions of a Suzuki-Berinde type $F_{S}$-contraction and a Suzuki-Berinde type $F_{C}^{S}$-contraction are introduced on a $S$-metric space. Using these new notions, a fixed-point theorem is proved on a complete $S$-metric space and a fixed-circle theorem is established on a $S$-metric space. Some examples are given to support the obtained results.http://jlta.iauctb.ac.ir/article_543020_789f9e78ff07d3222d659081f03067d7.pdf