Modified proximal point algorithms on Hadamard manifolds

作者：Wang Jin Hua^*; Lopez Genaro

来源：Optimization, 2011, 60(6): 697-708.

DOI：10.1080/02331934.2010.505962

• modified proximal point algorithms
• Hadamard manifold
• monotone vector field
• maximal monotone

Given a maximal monotone vector field A on a Hadamard manifold, we devise a modified proximal point algorithm which, under reasonable assumptions, converges to a singular point of A. This algorithm is a natural extension to the Hadamard manifold of the one introduced by Xu, Iterative algorithms for nonlinear operators, J. London Math. Soc. 66 (2002), pp. 240-256 in Hilbert spaces.

• 出版日期2011
• 单位浙江工业大学