On generalized ℑb-contractions and related applications

Muhammad Rashid; Muhammad Sarwar; Muhammad Fawad; Saber Mansour; Hassen Aydi

doi:10.3934/math.20231064

On generalized ℑ_b-contractions and related applications

Muhammad Rashid, Muhammad Sarwar^*, Muhammad Fawad, Saber Mansour, Hassen Aydi^*

^*Corresponding author for this work

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

Abstract

In this manuscript, using the idea of b-simulation functions, certain common fixed point results via generalized ℑ_b-contractions are investigated in the context of b-metric spaces. These findings generalize and supplement various numbers of established results from the existing literature. Examples and applications are also provided for the authenticity of the presented work. Besides, we ensure the existence of a unique common solution for systems of Volterra-Hammerstein integral and Urysohn integral equations, respectively, by applying the established results.

Original language	English
Pages (from-to)	20892-20913
Number of pages	22
Journal	AIMS Mathematics
Volume	8
Issue number	9
DOIs	https://doi.org/10.3934/math.20231064
Publication status	Published - 2023
Externally published	Yes

Keywords

b-metric space
b-simulation function
compatible mapping
fixed point
generalized ℑ-contraction
ℑ-contraction

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10.3934/math.20231064

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title = "On generalized ℑb-contractions and related applications",

abstract = "In this manuscript, using the idea of b-simulation functions, certain common fixed point results via generalized ℑb-contractions are investigated in the context of b-metric spaces. These findings generalize and supplement various numbers of established results from the existing literature. Examples and applications are also provided for the authenticity of the presented work. Besides, we ensure the existence of a unique common solution for systems of Volterra-Hammerstein integral and Urysohn integral equations, respectively, by applying the established results.",

keywords = "b-metric space, b-simulation function, compatible mapping, fixed point, generalized ℑ-contraction, ℑ-contraction",

author = "Muhammad Rashid and Muhammad Sarwar and Muhammad Fawad and Saber Mansour and Hassen Aydi",

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AU - Sarwar, Muhammad

AU - Fawad, Muhammad

AU - Mansour, Saber

AU - Aydi, Hassen

PY - 2023

Y1 - 2023

N2 - In this manuscript, using the idea of b-simulation functions, certain common fixed point results via generalized ℑb-contractions are investigated in the context of b-metric spaces. These findings generalize and supplement various numbers of established results from the existing literature. Examples and applications are also provided for the authenticity of the presented work. Besides, we ensure the existence of a unique common solution for systems of Volterra-Hammerstein integral and Urysohn integral equations, respectively, by applying the established results.

AB - In this manuscript, using the idea of b-simulation functions, certain common fixed point results via generalized ℑb-contractions are investigated in the context of b-metric spaces. These findings generalize and supplement various numbers of established results from the existing literature. Examples and applications are also provided for the authenticity of the presented work. Besides, we ensure the existence of a unique common solution for systems of Volterra-Hammerstein integral and Urysohn integral equations, respectively, by applying the established results.

KW - b-metric space

KW - b-simulation function

KW - compatible mapping

KW - fixed point

KW - generalized ℑ-contraction

KW - ℑ-contraction

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DO - 10.3934/math.20231064

M3 - Article

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SP - 20892

EP - 20913

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 9

ER -

On generalized ℑ_b-contractions and related applications

Abstract

Keywords

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