Geometric Properties of Fixed Points and Simulation Functions
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866916781367492608 |
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| author | Özgür, Nihal Taş, Nihal |
| author_facet | Özgür, Nihal Taş, Nihal |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_05417 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Geometric Properties of Fixed Points and Simulation Functions Özgür, Nihal Taş, Nihal Metric Geometry Primary 54H25, Secondary 47H09, 47H10 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. |
| title | Geometric Properties of Fixed Points and Simulation Functions |
| topic | Metric Geometry Primary 54H25, Secondary 47H09, 47H10 |
| url | https://arxiv.org/abs/2102.05417 |