Hamid Sahebi - 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 nonexpansivemulti-valued mappings in a Hilbert space. We derive a strong convergence theorem for thisnew algorithm under appropriate assumptions. Moreover, in support of our results, somenumerical examples (using Matlab software) are also presented.

Nonexpansive multi-valed, strongly positive linear bounded operator, xed point, Hilbert space