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

Subject Areas : Fixed point theory

N. TAŞ ¹

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

Received: 2018-03-26 Accepted : 2018-09-11 Published : 2018-09-01

Keywords: fixed point, $S$-metric, Suzuki-Berinde type contraction, fixed circle,

Abstract :

In this paper, the notions of a Suzuki-Berinde type $F_{S}$-contraction anda 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 acomplete $S$-metric space and a fixed-circle theorem is established on a $S$-metric space. Some examples are given to support the obtained results.

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