A tripled coincidence point technique for solving integral equations via an upper class of type II

Hasanen A. Hammad; Hassen Aydi; Aiman Mukheimer

doi:10.3934/math.2023494

A tripled coincidence point technique for solving integral equations via an upper class of type II

Hasanen A. Hammad, Hassen Aydi^*, Aiman Mukheimer^*

^*Corresponding author for this work

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

Abstract

The goal of this paper is to obtain some tripled coincidence point results for generalized contraction mappings in the setting of JS-metric spaces endowed with a partial order. Furthermore, illustrative examples to support the theoretical results and the application are obtained. Finally, some theoretical results are applied to discuss the existence of a solution for a system of non-homogeneous and homogeneous integral equations as applications.

Original language	English
Pages (from-to)	9795-9819
Number of pages	25
Journal	AIMS Mathematics
Volume	8
Issue number	4
DOIs	https://doi.org/10.3934/math.2023494
Publication status	Published - 2023
Externally published	Yes

Keywords

Geraghty type contraction
JS-metric spaces
generalized contraction mapping
tripled coincidence point
upper class

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10.3934/math.2023494

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title = "A tripled coincidence point technique for solving integral equations via an upper class of type II",

abstract = "The goal of this paper is to obtain some tripled coincidence point results for generalized contraction mappings in the setting of JS-metric spaces endowed with a partial order. Furthermore, illustrative examples to support the theoretical results and the application are obtained. Finally, some theoretical results are applied to discuss the existence of a solution for a system of non-homogeneous and homogeneous integral equations as applications.",

keywords = "Geraghty type contraction, JS-metric spaces, generalized contraction mapping, tripled coincidence point, upper class",

author = "Hammad, \{Hasanen A.\} and Hassen Aydi and Aiman Mukheimer",

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AU - Hammad, Hasanen A.

AU - Aydi, Hassen

AU - Mukheimer, Aiman

PY - 2023

Y1 - 2023

N2 - The goal of this paper is to obtain some tripled coincidence point results for generalized contraction mappings in the setting of JS-metric spaces endowed with a partial order. Furthermore, illustrative examples to support the theoretical results and the application are obtained. Finally, some theoretical results are applied to discuss the existence of a solution for a system of non-homogeneous and homogeneous integral equations as applications.

AB - The goal of this paper is to obtain some tripled coincidence point results for generalized contraction mappings in the setting of JS-metric spaces endowed with a partial order. Furthermore, illustrative examples to support the theoretical results and the application are obtained. Finally, some theoretical results are applied to discuss the existence of a solution for a system of non-homogeneous and homogeneous integral equations as applications.

KW - Geraghty type contraction

KW - JS-metric spaces

KW - generalized contraction mapping

KW - tripled coincidence point

KW - upper class

UR - https://www.scopus.com/pages/publications/85150898203

U2 - 10.3934/math.2023494

DO - 10.3934/math.2023494

M3 - Article

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SN - 2473-6988

VL - 8

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EP - 9819

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 4

ER -

A tripled coincidence point technique for solving integral equations via an upper class of type II

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Keywords

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