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Common Fixed-points of Rational Contractions in Supermetric Spaces

Year: 2024
Type: article
Abstract: In this study, we prove a common fixed-point theorem for generalized rational-type contraction in supermetric space. Our findings expand the contractions of metric spaces to a supermetric space through Kannan's contraction, Reich’s contraction, and Dass-Gupta's rational contraction. These theorems also extend to the supermetric context and generalize many interesting results from metric fixed-point theory. Additionally, we provide an example to elucidate our theorems.
Language: English
Open Access status: bronze
OpenAlex ID: W4406151971
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