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Research Article | Open Access

Fixed point theorem on C A T p ( 0 ) metric spaces with applications in solving matrix equations and fractional differential equations

Mohammad Sajid1Lucas Wangwe2Hemanta Kalita3( )Santosh Kumar4
Department of Mechanical Engineering, College of Engineering, Qassim University, Saudi Arabia
Department of Mathematics, Mbeya University of Science and Technology, Tanzania
Mathematics Division, VIT Bhopal University, Bhopal-Indore Highway, Kothrikalan, Sehore, Madhya Pradesh 466114, India
Department of Mathematics, School of Physical Sciences, North-Eastern Hill University, Shillong-793022, Meghalaya, India
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Abstract

This paper aimed to explore fixed point theorems for CMJ generalized mappings in C A T p ( 0 ) metric spaces. To strengthen the established results, we presented a positive example. In applications, we found the existence of the solution to nonlinear matrix equations, and unique solutions of two scale fractal hybrid fractional differential equations in C A T p ( 0 ).

CLC number: 47H10, 54H25

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AIMS Mathematics
Pages 11131-11158

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Cite this article:
Sajid M, Wangwe L, Kalita H, et al. Fixed point theorem on C A T p ( 0 ) metric spaces with applications in solving matrix equations and fractional differential equations. AIMS Mathematics, 2025, 10(5): 11131-11158. https://doi.org/10.3934/math.2025505

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Received: 03 March 2025
Revised: 21 April 2025
Accepted: 06 May 2025
Published: 15 May 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)