Fixed point approach for solving a system of Volterra integral equations and Lebesgue integral concept in FCM-spaces

Hasanen A. Hammad; Hassen Aydi; Choonkil Park

doi:10.3934/math.2022501

Fixed point approach for solving a system of Volterra integral equations and Lebesgue integral concept in F_CM-spaces

Hasanen A. Hammad, Hassen Aydi^*, Choonkil Park^*

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

The goal of this manuscript is to obtain some tripled fixed point results under a new contractive condition and triangular property in the context of fuzzy cone metric spaces (F_CM-spaces). Moreover, two examples and corollaries are given to validate our work. Ultimately, as applications, the notion of Lebesgue integral is represented by the fuzzy method to discuss the existence of fixed points. Also, the existence and uniqueness solution for a system of Volterra integral equations are studied by the theoretical results.

Original language	English
Pages (from-to)	9003-9022
Number of pages	20
Journal	AIMS Mathematics
Volume	7
Issue number	5
DOIs	https://doi.org/10.3934/math.2022501
Publication status	Published - 2022
Externally published	Yes

Keywords

Lebesgue-integrable mapping
Volterra integral equation
fuzzy cone metric spaces
tripled fixed point

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10.3934/math.2022501

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abstract = "The goal of this manuscript is to obtain some tripled fixed point results under a new contractive condition and triangular property in the context of fuzzy cone metric spaces (FCM-spaces). Moreover, two examples and corollaries are given to validate our work. Ultimately, as applications, the notion of Lebesgue integral is represented by the fuzzy method to discuss the existence of fixed points. Also, the existence and uniqueness solution for a system of Volterra integral equations are studied by the theoretical results.",

keywords = "Lebesgue-integrable mapping, Volterra integral equation, fuzzy cone metric spaces, tripled fixed point",

author = "Hammad, {Hasanen A.} and Hassen Aydi and Choonkil Park",

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AU - Aydi, Hassen

AU - Park, Choonkil

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Y1 - 2022

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AB - The goal of this manuscript is to obtain some tripled fixed point results under a new contractive condition and triangular property in the context of fuzzy cone metric spaces (FCM-spaces). Moreover, two examples and corollaries are given to validate our work. Ultimately, as applications, the notion of Lebesgue integral is represented by the fuzzy method to discuss the existence of fixed points. Also, the existence and uniqueness solution for a system of Volterra integral equations are studied by the theoretical results.

KW - Lebesgue-integrable mapping

KW - Volterra integral equation

KW - fuzzy cone metric spaces

KW - tripled fixed point

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ER -

Fixed point approach for solving a system of Volterra integral equations and Lebesgue integral concept in F_CM-spaces

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Keywords

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