Nonlinear Viscosity Algorithm with Perturbation for Nonexpansive Multi-Valued Mappings

In this paper, based on viscosity technique with perturbation, we introduce a new nonlinear viscosity algorithm for finding a element of the set of fixed points of nonexpansive multivalued mappings in a Hilbert space. We derive a strong convergence theorem for this new algorithm under appropriate assumptions. Moreover, in support of our results, some numerical examples (using Matlab software) are also presented