Solution of a nonlinear fractional-order initial value problem via a $\mathscr{C}^{*}$-algebra-valued $\mathcal{R}$-metric space-Reference-Cited by-同舟云学术

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

Published:2024-04-01 Issue:1 Volume:2024 Page:
ISSN:2730-5422
Container-title:Fixed Point Theory and Algorithms for Sciences and Engineering
language:en
Short-container-title:Fixed Point Theory Algorithms Sci Eng

Author:

Janardhanan Gopinath,Mani Gunaseelan,Michael Edwin Antony Raj,Thabet Sabri T. M.,Kedim Imed

Abstract

AbstractIn this article, we prove new common fixed-point theorems on a

$\mathscr{C}^{*}$

C ∗ -algebra-valued

$\mathcal{R}$

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.

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1186/s13663-024-00763-4.pdf

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