Some common fixed-point and fixed-figure results with a function family on $ S_{b} $-metric spaces-Reference-Cited by-同舟云学术

Some common fixed-point and fixed-figure results with a function family on $ S_{b} $-metric spaces

Published:2023 Issue:6 Volume:8 Page:13050-13065
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Taş Nihal¹,Ayoob Irshad²,Mlaiki Nabil²

Affiliation:

1. Balıkesir University, Department of Mathematics, Balıkesir 10145, Tü rkiye

2. Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia

Abstract

<abstract><p>In this paper, we prove a common fixed-point theorem for four self-mappings with a function family on $ S_{b} $-metric spaces. In addition, we investigate some geometric properties of the fixed-point set of a given self-mapping. In this context, we obtain a fixed-disc (resp. fixed-circle), fixed-ellipse, fixed-hyperbola, fixed-Cassini curve and fixed-Apollonious circle theorems on $ S_{b} $-metric spaces.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference33 articles.

1. S. Banach, Sur les operations dans les ensembles abstraitset leur application aux equations integrals, Fund. Math., 3 (1992), 133–181.

2. Z. Mustafa, B. Sims, A new approach to generalized metric spaces, J. Nonlinear Convex Anal., 7 (2006), 289–297.

3. A. H. Ansari, O. Ege, S. Radenović, Some fixed point results on complex valued $G_{b}$-metric spaces, RACSAM, 112 (2018), 463–472. http://doi.org/10.1007/s13398-017-0391-x

4. O. Ege, Complex valued $G_{b}$-metric spaces, J. Comput. Anal. Appl., 20 (2016), 363–368.

5. S. Sedghi, N. Shobe, A. Aliouche, A generalization of fixed point theorems in $S$-metric spaces, Math. Vestn., 64 (2012), 258–266.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fixed Point Results for Compatible Mappings in Extended Parametric Sb-Metric Spaces;Mathematics;2024-05-08

2. Some Recent Fixed Point Results in $$S_b-$$Metric Spaces and Applications;Industrial and Applied Mathematics;2024

3. On Some Fixed Curves in Sb- Metric Spaces;Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi;2023-07-07