Common fixed point, Baire's and Cantor's theorems in neutrosophic 2-metric spaces

Umar Ishtiaq; Khaleel Ahmad; Muhammad Imran Asjad; Farhan Ali; Fahd Jarad; Umar Ishtiaq; Khaleel Ahmad; Muhammad Imran Asjad; Farhan Ali; Fahd Jarad

doi:10.3934/math.2023131

AIMS Mathematics

2023, Volume 8, Issue 2: 2532-2555. doi: 10.3934/math.2023131

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Common fixed point, Baire's and Cantor's theorems in neutrosophic 2-metric spaces

1.
Office of Research, Innovation and Commercialization, University of Management and Technology, Lahore, Pakistan
2.
Department of Math &amp, Stats, International Islamic University Islamabad, Pakistan
3.
Department of Mathematics, University of Management and Technology, Lahore, Pakistan
4.
Department of Mathematics, COMSATS University Islamabad-Sahiwal Campus, Sahiwal, Pakistan
5.
Department of Mathematics, Cankaya University, 06790 Etimesgut, Ankara, Turkey
6.
Department of Mathematics, King Abdulaziz University, Saudi Arabia
7.
Department of Medical Research, China Medical University, Taichung 40402, Taiwan

Received: 17 August 2022 Revised: 18 October 2022 Accepted: 24 October 2022 Published: 07 November 2022
MSC : 47H10, 54H25

These fundamental Theorems of classical analysis, namely Baire's Theorem and Cantor's Intersection Theorem in the context of Neutrosophic 2-metric spaces, are demonstrated in this article. Naschie discussed high energy physics in relation to the Baire's Theorem and the Cantor space in descriptive set theory. We describe, how to demonstrate the validity and uniqueness of the common fixed-point theorem for four mappings in Neutrosophic 2-metric spaces.
- fuzzy metric spaces,
- fuzzy 2-metric spaces,
- neutrosophic metric spaces,
- common fixed point
Citation: Umar Ishtiaq, Khaleel Ahmad, Muhammad Imran Asjad, Farhan Ali, Fahd Jarad. Common fixed point, Baire's and Cantor's theorems in neutrosophic 2-metric spaces[J]. AIMS Mathematics, 2023, 8(2): 2532-2555. doi: 10.3934/math.2023131

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Abstract

These fundamental Theorems of classical analysis, namely Baire's Theorem and Cantor's Intersection Theorem in the context of Neutrosophic 2-metric spaces, are demonstrated in this article. Naschie discussed high energy physics in relation to the Baire's Theorem and the Cantor space in descriptive set theory. We describe, how to demonstrate the validity and uniqueness of the common fixed-point theorem for four mappings in Neutrosophic 2-metric spaces.

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