Nonlinear Viscosity Algorithm with Perturbation for Nonexpansive Multi-Valued Mappings

Document Type : Research Articles


Department of Mathematics, Islamic Azad University


In this paper, based on viscosity technique with perturbation, we introduce a new non-
linear viscosity algorithm for finding a element of the set of fixed points of nonexpansive
multi-valued 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.