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arXiv · 2102.05417

Geometric Properties of Fixed Points and Simulation Functions

Nihal Özgür·Nihal Taş
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Abstract

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). The main motivation of this paper is to investigate the geometric properties of non unique fixed points of self-mappings via simulation functions.

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Nihal Özgür, Nihal Taş. 2021-02-10. Geometric Properties of Fixed Points and Simulation Functions. https://doi.org/10.32513/asetmj%2F193220082336

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