In this manuscript, we present a parametric family of derivative-free three-step iterative methods with weight function for solving nonlinear equations. We study various ways introducing memory to in order increase the convergence without new functional evaluations. also performed numerical experiments compare from different points view.

The main purpose of this paper is to give weak and strong convergence theorems of a new three-step iterative scheme for asymptotically nonexpansive mappings in Banach spaces and we also give several weak and strong convergence theorems of the three-step iterative scheme with errors for asymptotically nonexpansive mappings in Banach spaces. Mann-type and Ishikawa -type iterations are included by...

This paper outlines that when decoding an arbitrary analog block codes, i.e., a block codes over the complex or real numbers, in an iterative fashion by splitting the H-Matrix in two, leads to a least-squares estimate. Such a Turbo-like algorithm represents iterative projections in Euclidean space. A step size controls the convergence speed. The paper generalized an earlier result based on arra...

We apply the dressing method to a string solution given by a static string wrapped around the equator of a three-sphere and find that the result is the single spike solution recently discussed in the literature. Further application of the method allows the construction of solutions with multiple spikes. In particular we construct the solution describing the scattering of two single spikes and c...

In this paper, a new class of (h, η)-proximal mappings for proper functionals in Hilbert spaces is introduced. The existence and Lipschitz continuity of the (h, η)-proximal mappings for proper functionals are proved. A class of generalized nonlinear quasi-variational-like inclusions in Hilbert spaces is introduced. A perturbed three-step iterative algorithm with errors for the generalized nonli...