Tseng's methods for inclusion problems on Hadamard manifolds
Konrawut Khammahawong, Poom Kumam, Parin Chaipunya, Juan Martínez‐Moreno · Optimization · 2021
In this article, we present two Tseng's methods for finding a singularity point of an inclusion problem which is defined by means of a sum of a single-valued vector field and a multivalued vector field on a Hadamard manifold. Under standard assumptions, we prove any sequence generated by the proposed methods converges to a singularity point, whenever it exists. Moreover, applications to convex minimization problems and variational inequality problems are provided.