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. تفاصيل المقالة

In this article, we apply this new method for solving an engineering system withinitial and boundary conditions and integral criterion, and we will use dynamicprogramming as iteration for solving model. تفاصيل المقالة

In this paper, we introduce a new iterative midpoint rule for finding a solutionof fixed point problem for a non-expansive semigroup in smooth Banach spaces. Weestablish a strong convergence theorem for the sequences generated by our proposediterative scheme. A numerical example present to illustrate the convergenceresult. Our results improve and extend the corresponding results in the literature. تفاصيل المقالة

We suggest a new viscosity iterative scheme for finding a common element of theset of solutions of the general equilibrium problem system (GEPS) and the set ofall common fixed points of two non-commutative non-expansive self mappings in theframework of a real Hilbert space. The results in the paper generalize and improvesome well-known results in Jankaew et al.[2] and many others. Moreover, we presenta numerical example (by using Maple software) to grantee the main result of thispaper. تفاصيل المقالة

In this paper, we introduce a new iterative process for two nonexpansive mapsatisfying the condition (II) in CAT(0) space and establish \Delta-convergence theoremfor the proposed process under condition. تفاصيل المقالة

A new iterative is proposed for finding a common fixed points of multi-valuedquasi nonexpansive mappings and the strong convergence the scheme is proved inCAT(0) spaces. The strong convergence theorem for hemicompact map shown isalso. تفاصيل المقالة

In this paper we introduce a new nonlinear algorithm for approximating xed points ofdouble midpoint rule on a nonempty, closed and convex subset of real Hilbert spaces. Undersome specic assumption imposed on the control parameters, we prove a strong convergencetheorem. In this manner, we provide some numerical examples to illustrate our main resultand to display the eciency of the proposed algorithm. تفاصيل المقالة