Title of article
Nonlinear Viscosity Algorithm with Perturbation for Nonexpansive Multi-Valued Mappings
Author/Authors
Sahebi, Hamid Reza Department of Mathematics - Islamic Azad University Ashtian Branch, Ashtian, Iran
Pages
20
From page
45
To page
64
Abstract
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
Keywords
Nonexpansive multi-valed , strongly positive linear bounded , operator , fixed point , Hilbert space
Journal title
Theory of Approximation and Applications
Serial Year
2020
Record number
2724982
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