Abstract
This article proposes a viscosity-type scheme for approximating a common
solution of convex minimization problem, monotone vector field inclusion
problem and fixed point problem involving multivalued nonexpansive
mapping in the framework of Hadamard spaces. We establish a strong
convergence theorem for the sequence generated therefrom to a solution
of the problem. Furthermore, we apply our results to compute the Fréchet
mean, find the mean of probabilities, minimize energy of measurable
mappings and solve a problem of two-arm robotic motion control. Finally,
we give a numerical example to demonstrate the applicability of the
method and also issue comparisons with some existing methods. Our
results extend and complement some recent results in the literature.