Nonlinear Viscosity Algorithm with Perturbation for Nonexpansive Multi-Valued Mappings

الموضوعات :

Hamid Sahebi ¹ (Department of Mathematics, Islamic Azad University)

تاريخ الإرسال : 27 الثلاثاء , ذو القعدة, 1440 تاريخ التأكيد : 07 الخميس , جمادى الأولى, 1441 تاريخ الإصدار : 08 الجمعة , رمضان, 1441

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

ملخص المقالة :

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.