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Nonlinear Viscosity Algorithm with Perturbation for Nonexpansive Multi-Valued Mappings | ||
Theory of Approximation and Applications | ||
مقاله 4، دوره 14، شماره 1، مرداد 2020، صفحه 45-64 اصل مقاله (593.78 K) | ||
نوع مقاله: Research Articles | ||
نویسنده | ||
Hamid reza Sahebi* | ||
Department of Mathematics, Islamic Azad University | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Nonexpansive multi-valed؛ strongly positive linear bounded operator؛ xed point؛ Hilbert space | ||
آمار تعداد مشاهده مقاله: 188 تعداد دریافت فایل اصل مقاله: 24 |