Uniform Convexity and Convergence of a Sequence of Sets in a Complete Geodesic Space

Yasunori Kimura, Shuta Sudo and Christopher Goodrich

Abstract and Applied Analysis, 2022, vol. 2022, 1-11

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:9534978

DOI: 10.1155/2022/9534978

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