Geometric properties of fixed points and simulation functions

N. Özgür, N. Taş

The main motivation of this paper is to investigate the geometric properties of non unique fixed points of self-mappings via simulation functions. Geometric properties of the fixed point set Fix(f) of a self-mapping f on a metric or a generalized metric space is an attractive issue. The set Fix(f) can contain a geometric figure (a circle, an ellipse, etc.) or it can be a geometric figure. In this paper, we consider the set of simulation functions for geometric applications in the fixed point theory both on metric and some generalized metric spaces (S-metric spaces and b-metric spaces). 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16(4) (2023), pp. 91-108