General topology
1. On the topological equivalence of some generalized metric spaces

N. TAŞ

Volume 09, Issue 01 , Winter 2020, , Pages 67-74

Abstract
  ‎The aim of this paper is to establish the equivalence between the concepts‎ ‎of an $S$-metric space and a cone $S$-metric space using some topological‎ ‎approaches‎. ‎We introduce a new notion of a $TVS$-cone $S$-metric space using‎ ‎some facts about ...  Read More

Fixed point theory
2. Suzuki-Berinde type fixed-point and fixed-circle results on $S$-metric spaces

N. TAŞ

Volume 07, Issue 03 , Summer 2018, , Pages 233-244

Abstract
  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 ...  Read More