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- Title
Asymptotic Behavior of Resolvents of a Convergent Sequence of Convex Functions on Complete Geodesic Spaces.
- Authors
Kimura, Yasunori; Shindo, Keisuke
- Abstract
The asymptotic behavior of resolvents of a proper convex lower semicontinuous function is studied in the various settings of spaces. In this paper, we consider the asymptotic behavior of the resolvents of a sequence of functions defined in a complete geodesic space. To obtain the result, we assume the Mosco convergence of the sets of minimizers of these functions.
- Subjects
GEODESIC spaces; CONVEX functions; SET functions; RESOLVENTS (Mathematics)
- Publication
Axioms (2075-1680), 2022, Vol 11, Issue 1, p21
- ISSN
2075-1680
- Publication type
Article
- DOI
10.3390/axioms11010021