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.
Funder
Japan Society for the Promotion of Science
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference21 articles.
1. Nonlinear Functional Analysis Fixed Point Theory and Its Applications;Takahashi,2000
2. Gradient flows on nonpositively curved metric spaces and harmonic maps
3. Convex Analysis and Optimaization in Hadamard Spaces;Bačák,2014
4. Approximating Solutions of Maximal Monotone Operators in Hilbert Spaces