Viscosity iterative techniques for approximating a common zero of monotone operators in an Hadamard space

Abstract

The main purpose of this paper is to introduce some viscosity-type proximal point algorithms which comprise of a nonexpansive mapping and a finite sum of resolvents of monotone operators, and prove their strong convergence to a common zero of a finite family of monotone operators which is also a fixed point of a nonexpansive mapping and a unique solution of some variational inequality problems in a Hadamard space. We apply our results to solve a finite family of convex minimization problems, variational inequality problems, and convex feasibility problems