Applying Fixed Point Techniques for Obtaining a Positive Definite Solution To Nonlinear Matrix Equations
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Date
2023
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Average
Popularity
Top 10%
Abstract
In this manuscript, the concept of rational-type multivalued F-contraction mappings is investigated. In addition, some nice fixed point results are obtained using this concept in the setting of MM-spaces and ordered MM-spaces. Our findings extend, unify, and generalize a large body of work along the same lines. Moreover, to support and strengthen our results, non-trivial and extensive examples are presented. Ultimately, the theoretical results are involved in obtaining a positive, definite solution to nonlinear matrix equations as an application.
Description
Hammad, Hasanen A./0000-0001-8724-9367
ORCID
Keywords
Fixed Point Technique, Multivalued F-Contraction, M-Metric Space, Multivalued Mapping, Nonlinear Matrix Equations, Matrix (chemical analysis), Geometry, Mathematical analysis, Quantum mechanics, Positive-definite matrix, Fixed Point Theorems in Metric Spaces, Point (geometry), nonlinear matrix equations, QA1-939, FOS: Mathematics, Fixed-point theorem, Internal medicine, Biology, m−metric space, Eigenvalues and eigenvectors, Chromatography, Ecology, Fixed Point Theorems, Physics, multivalued mapping, Pure mathematics, Fixed point, Applied mathematics, Multi-valued Mappings, Chemistry, Contractive Mappings, fixed point technique, FOS: Biological sciences, Physical Sciences, Nonlinear system, Contraction (grammar), Medicine, multivalued f−contraction, Geometry and Topology, Type (biology), Mathematics
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Tariq, Muhammad;...et.al. (2023). "Applying fixed point techniques for obtaining a positive definite solution to nonlinear matrix equations", AIMS Mathematics, Vol.8, No.2, pp.3842-3859.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
5
Source
AIMS Mathematics
Volume
8
Issue
2
Start Page
3842
End Page
3859
PlumX Metrics
Citations
CrossRef : 1
Scopus : 5
SCOPUS™ Citations
5
checked on Feb 25, 2026
Web of Science™ Citations
4
checked on Feb 25, 2026
Page Views
2
checked on Feb 25, 2026
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