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Khater, O., Abu-Donia, H., Atia, H. (2024). Coupled fixed point theorem for pairs with joint standard limits. Bulletin of Faculty of Science, Zagazig University, 2023(4), 152-157. doi: 10.21608/bfszu.2023.191664.1246
Omnia M. A. Khater; H. M. Abu-Donia; H. A. Atia. "Coupled fixed point theorem for pairs with joint standard limits". Bulletin of Faculty of Science, Zagazig University, 2023, 4, 2024, 152-157. doi: 10.21608/bfszu.2023.191664.1246
Khater, O., Abu-Donia, H., Atia, H. (2024). 'Coupled fixed point theorem for pairs with joint standard limits', Bulletin of Faculty of Science, Zagazig University, 2023(4), pp. 152-157. doi: 10.21608/bfszu.2023.191664.1246
Khater, O., Abu-Donia, H., Atia, H. Coupled fixed point theorem for pairs with joint standard limits. Bulletin of Faculty of Science, Zagazig University, 2024; 2023(4): 152-157. doi: 10.21608/bfszu.2023.191664.1246

Coupled fixed point theorem for pairs with joint standard limits

Article 14, Volume 2023, Issue 4, January 2024, Page 152-157  XML PDF (597.73 K)
Document Type: Original Article
DOI: 10.21608/bfszu.2023.191664.1246
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Authors
Omnia M. A. Khater email ; H. M. Abu-Donia; H. A. Atia
Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt.
Abstract
In this study, a shared linked fixed point in the intuitionistic fuzzy metric space is established for two sets of joint common limit of the range (shortly JCLR property) and common limit of the range (shortly CLR property) that satisfy the ϕ-contractive requirements. These mappings are mutually weakly compatible. Several essential concepts and theorems from more recent research publications on issues such as the binary operator, t-norm, t-conorm, intuitionistic fuzzy metric space, and compatible mapping were employed to achieve the aims of this study.


In this study, a shared linked fixed point in the intuitionistic fuzzy metric space is established for two sets of joint common limit of the range (shortly JCLR property) and common limit of the range (shortly CLR property) that satisfy the ϕ-contractive requirements. These mappings are mutually weakly compatible. Several essential concepts and theorems from more recent research publications on issues such as the binary operator, t-norm, t-conorm, intuitionistic fuzzy metric space, and compatible mapping were employed to achieve the aims of this study.
Keywords
Intuitionistic fuzzy metric space; Weakly compatible mappings; Joint common limit of the rang; Common couple fixed point
Main Subjects
Basic and applied research of zoology
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