Rational contractions on complex-valued extended b-metric spaces and an application

Jamshaid Ahmad; Abdullah Eqal Al-Mazrooei; Hassen Aydi; Manuel De La Sen

doi:10.3934/math.2023172

Rational contractions on complex-valued extended b-metric spaces and an application

Jamshaid Ahmad, Abdullah Eqal Al-Mazrooei, Hassen Aydi^*, Manuel De La Sen

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

The aim of this article is to obtain common fixed point results on complex-valued extended b-metric spaces for rational contractions involving control functions of two variables. Our theorems generalize some famous results in the literature. We supply an example to show the originality of our main result. As an application, we develop common fixed point results for rational contractions involving control functions of one variable in the class of complex-valued extended b-metric spaces.

Original language	English
Pages (from-to)	3338-3352
Number of pages	15
Journal	AIMS Mathematics
Volume	8
Issue number	2
DOIs	https://doi.org/10.3934/math.2023172
Publication status	Published - 2023
Externally published	Yes

Keywords

common fixed point
complex-valued extended b-metric space
control functions
rational expressions

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10.3934/math.2023172

Cite this

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abstract = "The aim of this article is to obtain common fixed point results on complex-valued extended b-metric spaces for rational contractions involving control functions of two variables. Our theorems generalize some famous results in the literature. We supply an example to show the originality of our main result. As an application, we develop common fixed point results for rational contractions involving control functions of one variable in the class of complex-valued extended b-metric spaces.",

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author = "Jamshaid Ahmad and Al-Mazrooei, {Abdullah Eqal} and Hassen Aydi and {De La Sen}, Manuel",

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KW - rational expressions

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Rational contractions on complex-valued extended b-metric spaces and an application

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Keywords

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