A relation theoretic m-metric fixed point algorithm and related applications

Muhammad Tariq; Muhammad Arshad; Mujahid Abbas; Eskandar Ameer; Saber Mansour; Hassen Aydi

doi:10.3934/math.2023995

A relation theoretic m-metric fixed point algorithm and related applications

Muhammad Tariq, Muhammad Arshad, Mujahid Abbas, Eskandar Ameer, Saber Mansour, Hassen Aydi^*

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

In this article, we introduce the concept of generalized rational type F-contractions on relation theoretic m-metric spaces (denoted as FR^m-contractions, where R is a binary relation) and some related fixed point theorems are provided. Then, we achieve some fixed point results for cyclic rational type FR^m-generalized contraction mappings. Moreover, we state some illustrative numerically examples to show our results are true and meaningful. As an application, we discuss a positive definite solution of a nonlinear matrix equation of the form (Formula presented).

Original language	English
Pages (from-to)	19504-19525
Number of pages	22
Journal	AIMS Mathematics
Volume	8
Issue number	8
DOIs	https://doi.org/10.3934/math.2023995
Publication status	Published - 2023
Externally published	Yes

Keywords

generalized rational type FR-contractions
matrix equation
relation theoretic m-metric

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10.3934/math.2023995

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abstract = "In this article, we introduce the concept of generalized rational type F-contractions on relation theoretic m-metric spaces (denoted as FRm-contractions, where R is a binary relation) and some related fixed point theorems are provided. Then, we achieve some fixed point results for cyclic rational type FRm-generalized contraction mappings. Moreover, we state some illustrative numerically examples to show our results are true and meaningful. As an application, we discuss a positive definite solution of a nonlinear matrix equation of the form (Formula presented).",

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T1 - A relation theoretic m-metric fixed point algorithm and related applications

AU - Tariq, Muhammad

AU - Arshad, Muhammad

AU - Abbas, Mujahid

AU - Ameer, Eskandar

AU - Mansour, Saber

AU - Aydi, Hassen

PY - 2023

Y1 - 2023

N2 - In this article, we introduce the concept of generalized rational type F-contractions on relation theoretic m-metric spaces (denoted as FRm-contractions, where R is a binary relation) and some related fixed point theorems are provided. Then, we achieve some fixed point results for cyclic rational type FRm-generalized contraction mappings. Moreover, we state some illustrative numerically examples to show our results are true and meaningful. As an application, we discuss a positive definite solution of a nonlinear matrix equation of the form (Formula presented).

AB - In this article, we introduce the concept of generalized rational type F-contractions on relation theoretic m-metric spaces (denoted as FRm-contractions, where R is a binary relation) and some related fixed point theorems are provided. Then, we achieve some fixed point results for cyclic rational type FRm-generalized contraction mappings. Moreover, we state some illustrative numerically examples to show our results are true and meaningful. As an application, we discuss a positive definite solution of a nonlinear matrix equation of the form (Formula presented).

KW - generalized rational type FR-contractions

KW - matrix equation

KW - relation theoretic m-metric

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ER -

A relation theoretic m-metric fixed point algorithm and related applications

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Keywords

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