Solution of a nonlinear fractional-order initial value problem via a C∗-algebra-valued R-metric space

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

doi:10.1186/s13663-024-00763-4

Solution of a nonlinear fractional-order initial value problem via a C∗-algebra-valued R-metric space

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

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this article, we prove new common fixed-point theorems on a C^∗-algebra-valued 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.

Original language	English
Article number	7
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2024
Issue number	1
DOIs	https://doi.org/10.1186/s13663-024-00763-4
State	Published - Dec 2024

Keywords

46J10
46J15
47H10
54H25
C-algebra
C-algebra-valued R-metric space
Common fixed point
R-metric space

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10.1186/s13663-024-00763-4

Cite this

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abstract = "In this article, we prove new common fixed-point theorems on a C∗-algebra-valued 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.",

keywords = "46J10, 46J15, 47H10, 54H25, C-algebra, C-algebra-valued R-metric space, Common fixed point, R-metric space",

author = "Gopinath Janardhanan and Gunaseelan Mani and Michael, \{Edwin Antony Raj\} and Thabet, \{Sabri T.M.\} and Imed Kedim",

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AU - Michael, Edwin Antony Raj

AU - Thabet, Sabri T.M.

AU - Kedim, Imed

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024/12

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KW - 46J15

KW - 47H10

KW - 54H25

KW - C-algebra

KW - C-algebra-valued R-metric space

KW - Common fixed point

KW - R-metric space

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ER -

Solution of a nonlinear fractional-order initial value problem via a C∗-algebra-valued R-metric space

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Keywords

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