Abstract
In this paper we consider the proximal point algorithm to approximate a singularity of a multivalued monotone vector field on a Hadamard manifold. We study the convergence of the sequence generated by an inexact form of the algorithm. Our results extend the results of [3, 25] to Hadamard manifolds as well as the main result of [11] with more general assumptions on the control sequence. We also give some application to optimization.
Citation
P. Ahmadi. H. Khatibzadeh. "ON THE CONVERGENCE OF INEXACT PROXIMAL POINT ALGORITHM ON HADAMARD MANIFOLDS." Taiwanese J. Math. 18 (2) 419 - 433, 2014. https://doi.org/10.11650/tjm.18.2014.3066
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