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Wardowski Type Contractions and the Fixed-Circle Problem on S-Metric Spaces
Journal article   Open access  Peer reviewed

Wardowski Type Contractions and the Fixed-Circle Problem on S-Metric Spaces

Nabil Mlaiki, Ufuk Çelik, Nihal Taş, Nihal Yilmaz Özgür and Aiman Mukheimer
Journal of mathematics (Hidawi), Vol.2018, pp.1-9
01/01/2018

Abstract

In this paper, we present new fixed-circle theorems for self-mappings on an S-metric space using some Wardowski type contractions, ψ-contractive, and weakly ψ-contractive self-mappings. The common property in all of the obtained theorems for Wardowski type contractions is that the self-mapping fixes both the circle and the disc with the center x0 and the radius r.
url
https://doi.org/10.1155/2018/9127486View
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