English

Proximal minimization in CAT$(\kappa)$ spaces

Optimization and Control 2016-12-05 v2

Abstract

In this note, we provide convergence results for the proximal point algorithm and a splitting variant thereof in the setting of CAT(κ)(\kappa) spaces with κ>0\kappa > 0 using a recent definition for the resolvent of a convex, lower semi-continuous function due to Kimura and Kohsaka (J. Fixed Point Theory Appl. 18 (2016), 93-115).

Keywords

Cite

@article{arxiv.1607.03660,
  title  = {Proximal minimization in CAT$(\kappa)$ spaces},
  author = {Rafa Espínola and Adriana Nicolae},
  journal= {arXiv preprint arXiv:1607.03660},
  year   = {2016}
}
R2 v1 2026-06-22T14:53:18.546Z