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