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arXiv · 2108.03516

A Geometric Interpretation to Fixed-Point Theory on $S_{b}$-Metric Spaces

Hülya Atyimur·Nihal Taş
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Abstract

In this paper we present some fixed-figure theorems as a geometric approach to the fixed-point theory when the number of fixed points of a self-mapping is more than one. To do this, we modify the Jleli-Samet type contraction and define new contractions on $S_{b}$-metric spaces. Also, we give some necessary examples to show the validity of our theoretical results. Keywords: Fixed figure, fixed disc, fixed ellipse, fixed hyperbola, fixed Cassini curve, fixed Apollonius circle.

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Hülya Atyimur, Nihal Taş. 2021-08-07. A Geometric Interpretation to Fixed-Point Theory on $S_{b}$-Metric Spaces. https://arxiv.org/abs/2108.03516

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