English

Proximal Point Method for Vector Optimization on Hadamard Manifolds

Optimization and Control 2015-12-21 v1

Abstract

In this paper, we extend the proximal point algorithm for vector optimization from the Euclidean space to the Riemannian context. Under suitable assumptions on the objective function the well definition and full convergence of the method to a weak efficient point is proved.

Keywords

Cite

@article{arxiv.1512.06081,
  title  = {Proximal Point Method for Vector Optimization on Hadamard Manifolds},
  author = {G. C. Bento and O. P. Ferreira and Y. R. L. Pereira},
  journal= {arXiv preprint arXiv:1512.06081},
  year   = {2015}
}

Comments

8 pages

R2 v1 2026-06-22T12:13:37.570Z