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

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  • Yasunori Kimura
  • Shuta Sudo
  • Christopher Goodrich

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.

Suggested Citation

  • Yasunori Kimura & Shuta Sudo & Christopher Goodrich, 2022. "Uniform Convexity and Convergence of a Sequence of Sets in a Complete Geodesic Space," Abstract and Applied Analysis, Hindawi, vol. 2022, pages 1-11, January.
    • Handle: RePEc:hin:jnlaaa:9534978
    DOI: 10.1155/2022/9534978
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