Nonlinear Viscosity Algorithm with Perturbation for Nonexpansive Multi-Valued Mappings
Subject Areas : Applied Mathematics
1 - Department of Mathematics, Islamic Azad University
Keywords: Nonexpansive multi-valed, Hilbert space, xed point, strongly positive linear bounded operator,
Abstract :
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.