Fixed point theorem on $ CAT_{p}(0) $ metric spaces with applications in solving matrix equations and fractional differential equations

This paper aimed to explore fixed point theorems for CMJ generalized mappings in $ CAT_{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 $ CAT_{p}(0) $.

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Publication Details

Journal
AIMS Mathematics
Published
2025-01-01
DOI
https://doi.org/10.3934/math.2025505
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

Fixed point theorem on $ CAT_{p}(0) $ metric spaces with applications in solving matrix equations and fractional differential equations

Lucas Wangwe, Hemanta Kalita, Mohammad Sajid, Santosh Kumar
AIMS Mathematics
Fixed Point Theorems Analysis
article

Fixed point theorem on $ CAT_{p}(0) $ metric spaces with applications in solving matrix equations and fractional differential equations

Lucas Wangwe, Hemanta Kalita, Mohammad Sajid, Santosh Kumar
article en

Abstract

This paper aimed to explore fixed point theorems for CMJ generalized mappings in $ CAT_{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 $ CAT_{p}(0) $.

AIMS MathematicsVol. 10(5)
Qassim University (SA), North Eastern Hill University (IN), Mbeya University of Science and Technology (TZ), Barkatullah University (IN)
Openalex Percentile: Top 84%
Fixed Point Theorems Analysis
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