Interpolative $KMK$-Type Fixed-Figure Results

Year 2023, Volume: 11 Issue: 3, 129 - 137, 02.09.2023

Nihal Taş

https://doi.org/10.36753/mathenot.1141344

Abstract

Fixed-figure problem has been introduced a generalization of fixed circle problem an investigated a geometric generalization of fixed point theory. In this sense, we prove new fixed-figure results with some illustrative examples on metric spaces. For this purpose, we use $KMK$-type contractions, that is, Kannan type and Meir-Keeler type contractions.

Keywords

Fixed figure, $KMK$-type contraction, metric space

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