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2022 Uniform Convexity and Convergence of a Sequence of Sets in a Complete Geodesic Space
Yasunori Kimura, Shuta Sudo
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Abstr. Appl. Anal. 2022: 1-11 (2022). DOI: 10.1155/2022/9534978

Abstract

In this paper, we first introduce two new notions of uniform convexity on a geodesic space, and we prove their properties. Moreover, we reintroduce a concept of the set-convergence in complete geodesic spaces, and we prove a relation between the metric projections and the convergence of a sequence of sets.

Acknowledgments

This work was partially supported by JSPS KAKENHI Grant Number JP21K03316.

Citation

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Yasunori Kimura. Shuta Sudo. "Uniform Convexity and Convergence of a Sequence of Sets in a Complete Geodesic Space." Abstr. Appl. Anal. 2022 1 - 11, 2022. https://doi.org/10.1155/2022/9534978

Information

Received: 18 October 2021; Accepted: 13 December 2021; Published: 2022
First available in Project Euclid: 28 July 2022

Digital Object Identifier: 10.1155/2022/9534978

Rights: Copyright © 2022 Hindawi

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