Three-step iterations for nonlinear accretive operator equations

Adaptive Mann iterations for nonlinear accretive and pseudocontractive operator equations

We construct adaptive Mann iterations for finding fixed points of strongly pseudocontractive mappings and solving nonlinear strongly accretive (not necessary continuous) operator equation Sx = f in p-smooth Banach spaces.

A three-step iterative scheme for solving nonlinear φ-strongly accretive operator equations in Banach spaces

Multi–Frames in Thresholding Iterations for Nonlinear Operator Equations with Mixed Sparsity Constraints∗

This paper is concerened with nonlinear inverse problems where the solution is assumed to have a sparse expansion with respect to several preassigned bases or frames. We develop a scheme which allows to minimize a Tikhonov functional where the usual quadratic regularization term is replaced by one–homogeneous (typically weighted `p, 1 ≤ p ≤ 2) penalties on the coefficients (or isometrically tra...

A note on three-step iterative method for nonlinear equations

In this short note we give certain comments and improvements of some three-step iterative methods recently considered by N.A. Mir and T. Zaman (Appl. Math. Comput. (2007) doi: 10.1016/j.amc.2007.03.071).

Three-Step Iterative Method for Solving Nonlinear Equations

In this paper, a published algorithm is investigated that proposes a three-step iterative method for solving nonlinear equations. This method is considered to be efficient with third order of convergence and an improvement to previous methods. This paper proves that the order of convergence of the previous scheme is two, and the efficiency index is less than the corresponding Newton’s method. I...