On the geometry of fixed points of self-mappings on S-metric spaces

Nihal ÖZGÜR; Nihal TAŞ

doi:https://doi.org/10.31801/cfsuasmas.616325

Article Details

On the geometry of fixed points of self-mappings on S-metric spaces

Authors:

Nihal ÖZGÜR | Nihal TAŞ

Publisher:

Ankara University

Main Topics:

Mathematics

Journal:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2020 Vol.69 Issue 2, pp.1184-1192

Document Type:

Article

Publication Date:

12/2020

Document Language:

English

Document ID (Org No.):

2000909057

Frequency:

Quarterly

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.616325

Abstract:

 


In this paper, we focus on some geometric properties related to the set Fix(T), the set of all fixed points of a mapping T:X→X, on an S-metric space (X,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. In this paper, we give new solutions to the fixed circle (resp. fixed disc) problem on S-metric spaces. In Section 2, we prove some fixed circle and fixed disc results using different approaches. In Section 3, we give some illustrative examples of our obtained results and deduce some important remarks. In Section 4, we summarize our study and recommend some future works.

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Article Details

On the geometry of fixed points of self-mappings on S-metric spaces

Authors: Nihal ÖZGÜR | Nihal TAŞ

Publisher: Ankara University

Main Topics: Mathematics

Journal: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2020 Vol.69 Issue 2, pp.1184-1192

Document Type: Article

Publication Date: 12/2020

Document Language: English

Document ID (Org No.): 2000909057

Frequency: Quarterly

eISSN: 2618-6470

pISSN: 1303-5991

DOI: https://doi.org/10.31801/cfsuasmas.616325

Issues

Authors:

Nihal ÖZGÜR | Nihal TAŞ

Publisher:

Ankara University

Main Topics:

Mathematics

Journal:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2020 Vol.69 Issue 2, pp.1184-1192

Document Type:

Article

Publication Date:

12/2020

Document Language:

English

Document ID (Org No.):

2000909057

Frequency:

Quarterly

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.616325