Nonlinear Viscosity Algorithm with Perturbation for Nonexpansive Multi-Valued Mappings

محورهای موضوعی : Applied Mathematics

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

تاریخ دریافت : 1398/05/08 تاریخ پذیرش : 1398/10/12 تاریخ انتشار : 1399/02/12

کلید واژه: Nonexpansive multi-valed, Hilbert space, xed point, strongly positive linear bounded operator,

چکیده مقاله :

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.