Uniform Convexity and Convergence of a Sequence of Sets in a Complete Geodesic Space
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 o...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2022/9534978 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566191765323776 |
|---|---|
| author | Yasunori Kimura Shuta Sudo |
| author_facet | Yasunori Kimura Shuta Sudo |
| author_sort | Yasunori Kimura |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-32809d508ca241c9b791f8fa90d447a6 |
| institution | Kabale University |
| issn | 1687-0409 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-32809d508ca241c9b791f8fa90d447a62025-02-03T01:04:44ZengWileyAbstract and Applied Analysis1687-04092022-01-01202210.1155/2022/9534978Uniform Convexity and Convergence of a Sequence of Sets in a Complete Geodesic SpaceYasunori Kimura0Shuta Sudo1Department of Information ScienceDepartment of Information ScienceIn 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.http://dx.doi.org/10.1155/2022/9534978 |
| spellingShingle | Yasunori Kimura Shuta Sudo Uniform Convexity and Convergence of a Sequence of Sets in a Complete Geodesic Space Abstract and Applied Analysis |
| title | Uniform Convexity and Convergence of a Sequence of Sets in a Complete Geodesic Space |
| title_full | Uniform Convexity and Convergence of a Sequence of Sets in a Complete Geodesic Space |
| title_fullStr | Uniform Convexity and Convergence of a Sequence of Sets in a Complete Geodesic Space |
| title_full_unstemmed | Uniform Convexity and Convergence of a Sequence of Sets in a Complete Geodesic Space |
| title_short | Uniform Convexity and Convergence of a Sequence of Sets in a Complete Geodesic Space |
| title_sort | uniform convexity and convergence of a sequence of sets in a complete geodesic space |
| url | http://dx.doi.org/10.1155/2022/9534978 |
| work_keys_str_mv | AT yasunorikimura uniformconvexityandconvergenceofasequenceofsetsinacompletegeodesicspace AT shutasudo uniformconvexityandconvergenceofasequenceofsetsinacompletegeodesicspace |