Generalized viscosity approximation method for nonexpansive mappings in Hadamard manifolds

Abstract

In 2014, Duan et al. proposed the generalized viscosity approximation method to obtain the strong convergence theorem in the framework of Hilbert space. The purpose of this paper is to establish the convergence of generalized Viscosity approximation method for nonexpansive mappings in Hadamard manifolds. Our theorem improves and extends the results that have been proved in this direction for this important class of nonlinear mappings.