Department of Mathematics, Islamic Azad University
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 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.
Sahebi, H. (2020). Nonlinear Viscosity Algorithm with Perturbation for Nonexpansive Multi-Valued Mappings. Theory of Approximation and Applications, 14(2), 1-22.
MLA
Hamid reza Sahebi. "Nonlinear Viscosity Algorithm with Perturbation for Nonexpansive Multi-Valued Mappings". Theory of Approximation and Applications, 14, 2, 2020, 1-22.
HARVARD
Sahebi, H. (2020). 'Nonlinear Viscosity Algorithm with Perturbation for Nonexpansive Multi-Valued Mappings', Theory of Approximation and Applications, 14(2), pp. 1-22.
VANCOUVER
Sahebi, H. Nonlinear Viscosity Algorithm with Perturbation for Nonexpansive Multi-Valued Mappings. Theory of Approximation and Applications, 2020; 14(2): 1-22.
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