Iterative algorithm for singularities of inclusion problems in Hadamard manifolds

Abstract

Abstract The main purpose of this paper is to introduce a new iterative algorithm to solve inclusion problems in Hadamard manifolds. Moreover, applications to convex minimization problems and variational inequality problems are studied. A numerical example also is presented to support our main theorem.

Keywords

• Hadamard manifolds
• Inclusion problems
• Inverse-strongly-monotone vector field
• Maximal monotone vector field
• Proximal point method