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CANTOR’S THEOREM IN TVS-CONE METRIC SPACES
Keywords:
Cantor’s theorem, cone metric space, Baire category theoremDOI:
https://doi.org/10.17654/0972087126024Abstract
In 2010, Du [3] introduced the TVS-cone metric spaces, in 2011, Lahiri et al. [7] showed the Cantor’s theorem in a complete 2-metric space and proved some of its applications to fixed point problems. In this paper, based on these ideas, we prove Cantor’s theorem in complete cone metric spaces for orders generated by cone in a real Hausdorff locally convex topological vector spaces.
Received: June 15, 2025
Revised: October 24, 2025
Accepted: November 3, 2025
References
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