A Geometric Interpretation to Fixed-Point Theory on S_b-Metric Spaces

2021/08/07 by Atyimur, Hülya, Taş, Nihal
#47H09 #47H10 #54H25 #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2108.03516

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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