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

Hasanen A. Hammad; Hassen Aydi; Aiman Mukheimer; Hasanen A. Hammad; Hassen Aydi; Aiman Mukheimer

doi:10.3934/math.2023494

AIMS Mathematics

2023, Volume 8, Issue 4: 9795-9819. doi: 10.3934/math.2023494

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Research article

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

1.
Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah 52571, Saudi Arabia
2.
Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
3.
Institut Supérieur d'Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia
4.
China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
5.
Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa
6.
Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Received: 28 December 2022 Revised: 11 February 2023 Accepted: 16 February 2023 Published: 22 February 2023
MSC : 54H25, 47H10, 46T99

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.
- tripled coincidence point,
- generalized contraction mapping,
- $ JS $-metric spaces,
- Geraghty type contraction,
- upper class
Citation: Hasanen A. Hammad, Hassen Aydi, Aiman Mukheimer. A tripled coincidence point technique for solving integral equations via an upper class of type II[J]. AIMS Mathematics, 2023, 8(4): 9795-9819. doi: 10.3934/math.2023494

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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.

References

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