Expansive Type Rational Contraction in Metric Space and Common Fixed Point Theorems

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Vol 1 No 1 (2023): Mikailalsys Journal of Mathematics and Statistics
Page Numbers: 24-34
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Published: Oct 31, 2023
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Authors:
Devnarayan Yadav1, Surendra Kumar Tiwari2*
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Devnarayan Yadav
Dr. C. V. Raman Univerity, Bilaspur, India
Surendra Kumar Tiwari
Dr. C. V. Raman Univerity, Bilaspur, India

Abstract

The field of expansive mappings in fixed-point theory is one of the most fascinating  areas in mathematics. In this theory, contraction is one of the main tools used to prove a fixed point's existence and uniqueness. For all of the analyses, the fixed point theorem proposed by Banach's contraction theory is highly popular and widely used to prove that a solution to the operator equation Tx=x exists and is unique. Through the present article, we utilize rational expressions in metric spaces to deliver unique common stable (fixed) point results in expansive mapping. The main outcomes of numerous relevant innovations in the newest research are built upon them.

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How to Cite
Yadav, D., & Tiwari, S. K. (2023). Expansive Type Rational Contraction in Metric Space and Common Fixed Point Theorems. Mikailalsys Journal of Mathematics and Statistics, 1(1), 24-34. https://doi.org/10.58578/mjms.v1i1.2029

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Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

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