Article detail · 2023
Geometric properties of fixed points and simulation functions
- Year
- 2023
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue Advanced Studies: Euro-Tbilisi Mathematical Journal
- Catalog match (ISSN) Advanced Studies: Euro-Tbilisi Mathematical Journal
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
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).
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
7 citations
OpenAlex cited_by_count (cache / database)
4 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- Fixed Circle Theory for Multivalued Mappings With Bilateral Type Contractions 2025
- A Geometric Interpretation to Fixed-Point Theory on $S_{b}$-Metric Spaces 2021
- φ-fixed points of self-mappings on metric spaces with a geometric viewpoint 2025
- $\varphi $-fixed points of self-mappings on metric spaces with a geometric viewpoint 2021