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NOTES ON ORTHOGONAL-COMPLETE METRIC SPACES
Published online by Cambridge University Press: 11 May 2021
Abstract
We prove that the restriction of a given orthogonal-complete metric space to the closure of the orbit induced by the origin point with respect to an orthogonal-preserving and orthogonal-continuous map is a complete metric space. Then we show that many existence results on fixed points in orthogonal-complete metric spaces can be proved by using the corresponding existence results in complete metric spaces.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 105 , Issue 1 , February 2022 , pp. 154 - 160
- Copyright
- © 2021 Australian Mathematical Publishing Association Inc.
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