• Corpus ID: 222291716

On a theorem about Mosco convergence in Hadamard spaces

@article{Berdellima2020OnAT,
  title={On a theorem about Mosco convergence in Hadamard spaces},
  author={Arian Berdellima},
  journal={arXiv: Functional Analysis},
  year={2020}
}
Let $(f^n),f$ be a sequence of proper closed convex functions defined on a Hadamard space. We show that the convergence of proximal mappings $J^n_{\lambda}x$ to $J_{\lambda}x$, under certain additional conditions, imply Mosco convergence of $f^n$ to $f$. This result is a converse to a theorem of Bacak about Mosco convergence in Hadamard spaces. 
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