Sb-Metrik Uzaylarda Bazı Sabit Eğriler Üzerine

Hülya Aytimur

doi:10.25092/baunfbed.1280244

Research Article

On Some Fixed Curves in Sb- Metric Spaces

Year 2023, Volume: 25 Issue: 2, 650 - 660, 07.07.2023

Hülya Aytimur

https://doi.org/10.25092/baunfbed.1280244

Abstract

In this paper, we mention new results to the fixed-figure problem on Sb- metric spaces. Especially, we emphasize Cassini curve and Appolonius circle. To do this, first of all we give the new notions of Moradi-type Cu1u2- Sb-contraction, Geraghty-type Cu1u2- Sb-contraction, Skof-type Cu1u2- Sb-contraction, Moradi-type Au1u2- Sb-contraction, Geraghty-type Au1u2- Sb-contraction, Skoftype Au1u2- Sb-contraction. With the help of these notions, we obtain some fixed-Cassini curve and fixed-Apollonius circle theorems on Sb- metric spaces.

Keywords

Sb-metrik spaces, Cassini curve, Apollonius circle, fixed-figure, contraction.

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