Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2020 / Cilt: 69 - Sayı: 2
ON THE GEOMETRY OF FIXED POINTS FOR SELF-MAPPINGS ON S-METRIC SPACES
- Sayfa
- 1184–1192
- DOI
- —
Abstract
In this paper, we focus on some geometric properties related to the set T ix(T ), the set of all fixed points of a mapping T : E → E, on an S-metric space (E, S). For this purpose, we present the notions of an S-Pata type x0- mapping and an S-Pata Zamfirescu type x0-mapping. Using these notions, we propose new solutions to the fixed circle (resp. fixed disc) problem. Also, we give some illustrative examples of our main results.