Suzuki-Berinde type fixed-point and fixed-circle results on $S$-metric spaces

Journal of Linear and Topological Algebra

مقاله 6، دوره 07، شماره 03، آذر 2018، صفحه 233-244   

نوع مقاله: Special Issue on Fixed Point Theory

نویسنده

N. TAŞ^*

Department of Mathematics, Bali kesir University, 10145 Balikesir, Turkey

چکیده

In 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.

کلیدواژه‌ها

$S$-metric؛ Suzuki-Berinde type contraction؛ fixed point؛ fixed circle

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