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

Nabil Mlaiki, Ufuk Çelik, Nihal Taş, Nihal Yilmaz Özgür and Aiman Mukheimer

Journal of Mathematics, 2018, vol. 2018, 1-9

Abstract:

In this paper, we present new fixed-circle theorems for self-mappings on an -metric space using some Wardowski type contractions, -contractive, and weakly -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 and the radius .

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9127486

DOI: 10.1155/2018/9127486

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