Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Volume 15, Number 1 (2011), 337-352.
Cantor’s Theorem in 2-Metric Spaces and its Applications to Fixed Point Problems
2-metric space is an interesting nonlinear generalization of metric space which was conceived and studied in details by Gahler. In this paper, for the first time, we establish Cantor’s intersection theorem and Baire category theorem in 2-metric spaces. As a departure from normal practice we then apply Cantor’s theorem to establish some fixed point theorems in such spaces.
Taiwanese J. Math., Volume 15, Number 1 (2011), 337-352.
First available in Project Euclid: 18 July 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 54H25: Fixed-point and coincidence theorems [See also 47H10, 55M20]
Lahiri, B. K.; Das, Pratulananda; Dey, Lakshmi Kanta. Cantor’s Theorem in 2-Metric Spaces and its Applications to Fixed Point Problems. Taiwanese J. Math. 15 (2011), no. 1, 337--352. doi:10.11650/twjm/1500406178. https://projecteuclid.org/euclid.twjm/1500406178