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On fixed points of rational contractions in generalized parametric metric and fuzzy metric spaces
Journal article   Open access  Peer reviewed

On fixed points of rational contractions in generalized parametric metric and fuzzy metric spaces

Thounaojam Stephen, Yumnam Rohen, Nabil Mlaiki, Mairembam Bina, Nawab Hussain and Doaa Rizk
Journal of inequalities and applications, Vol.2021(1), pp.1-15
23/07/2021
DOI: https://doi.org/10.1186/s13660-021-02661-4

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We introduce the notion of generalized parametric metric spaces along with the study of its various properties. Further, we prove some new fixed point theorems for (alpha,psi)-rational-type contractive mappings in generalized parametric metric spaces. As a consequence, we deduce fixed point theorems for (alpha,psi)-rational-type contractive mappings in partially ordered rectangular generalized fuzzy metric spaces.
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https://doi.org/10.1186/s13660-021-02661-4View
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