Iterative Sequences for a Finite Number of Resolvent Operators on Complete Geodesic Spaces
We consider Halpern’s and Mann’s types of iterative schemes to find a common minimizer of a finite number of proper lower semicontinuous convex functions defined on a complete geodesic space with curvature bounded above.
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-01-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/10/1/15 |
| _version_ | 1797407148118900736 |
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| author | Kengo Kasahara Yasunori Kimura |
| author_facet | Kengo Kasahara Yasunori Kimura |
| author_sort | Kengo Kasahara |
| collection | DOAJ |
| description | We consider Halpern’s and Mann’s types of iterative schemes to find a common minimizer of a finite number of proper lower semicontinuous convex functions defined on a complete geodesic space with curvature bounded above. |
| first_indexed | 2024-03-09T03:37:15Z |
| format | Article |
| id | doaj.art-2d0575719d1d44e19d99c0e7325fd1fa |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T03:37:15Z |
| publishDate | 2021-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-2d0575719d1d44e19d99c0e7325fd1fa2023-12-03T14:46:42ZengMDPI AGAxioms2075-16802021-01-011011510.3390/axioms10010015Iterative Sequences for a Finite Number of Resolvent Operators on Complete Geodesic SpacesKengo Kasahara0Yasunori Kimura1Department of Information Science, Toho University, Miyama, Funabashi, Chiba 274-8510, JapanDepartment of Information Science, Toho University, Miyama, Funabashi, Chiba 274-8510, JapanWe consider Halpern’s and Mann’s types of iterative schemes to find a common minimizer of a finite number of proper lower semicontinuous convex functions defined on a complete geodesic space with curvature bounded above.https://www.mdpi.com/2075-1680/10/1/15geodesic spaceconvex minimization problemresolventcommon fixed pointiterative scheme |
| spellingShingle | Kengo Kasahara Yasunori Kimura Iterative Sequences for a Finite Number of Resolvent Operators on Complete Geodesic Spaces Axioms geodesic space convex minimization problem resolvent common fixed point iterative scheme |
| title | Iterative Sequences for a Finite Number of Resolvent Operators on Complete Geodesic Spaces |
| title_full | Iterative Sequences for a Finite Number of Resolvent Operators on Complete Geodesic Spaces |
| title_fullStr | Iterative Sequences for a Finite Number of Resolvent Operators on Complete Geodesic Spaces |
| title_full_unstemmed | Iterative Sequences for a Finite Number of Resolvent Operators on Complete Geodesic Spaces |
| title_short | Iterative Sequences for a Finite Number of Resolvent Operators on Complete Geodesic Spaces |
| title_sort | iterative sequences for a finite number of resolvent operators on complete geodesic spaces |
| topic | geodesic space convex minimization problem resolvent common fixed point iterative scheme |
| url | https://www.mdpi.com/2075-1680/10/1/15 |
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