Solution of a nonlinear fractional-order initial value problem via a C ∗ $\mathscr{C}^{*}$ -algebra-valued R $\mathcal{R}$ -metric space

Solution of a nonlinear fractional-order initial value problem via a C ∗ $\mathscr{C}^{*}$ -algebra-valued R $\mathcal{R}$ -metric space

Abstract In this article, we prove new common fixed-point theorems on a C ∗ $\mathscr{C}^{*}$ -algebra-valued R $\mathcal{R}$ -metric space. An example is given based on our obtained results. To enhance our results, a strong application based on the fractional-order initial value problem is provided...

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Bibliographic Details
Main Authors: Gopinath Janardhanan, Gunaseelan Mani, Edwin Antony Raj Michael, Sabri T. M. Thabet, Imed Kedim
Format: Article
Language:English
Published: SpringerOpen 2024-04-01
Series:Fixed Point Theory and Algorithms for Sciences and Engineering
Subjects:
Common fixed point
R $\mathcal{R}$ -metric space
C ∗ $\mathscr{C}^{*}$ -algebra
C ∗ $\mathscr{C}^{*}$ -algebra-valued R $\mathcal{R}$ -metric space
Online Access:https://doi.org/10.1186/s13663-024-00763-4

Internet

https://doi.org/10.1186/s13663-024-00763-4

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