Convergence of Non-Normalized Iterative Tâtonnement

New family of Two-Parameters Iterative Methods for Non-Linear Equations with Fourth-Order Convergence

An iterative method for amenable semigroup and infinite family of non expansive mappings in Hilbert spaces

begin{abstract} In this paper, we introduce an iterative method for amenable semigroup of non expansive mappings and infinite family of non expansive mappings in the frame work of Hilbert spaces. We prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. The results present...

An Iterative Tâtonnement Process

A discrete time tâtonnement process is presented for reaching an equilibrium of an exchange economy. The process is based on updating the prices in proportion to excess demands of the commodities such that the new prices are positive and their changes are bounded. Global convergence conditions for the process are given and convergence is shown when the excess demand function has the gross subst...

Projected non-stationary simultaneous iterative methods

In this paper, we study Projected non-stationary Simultaneous It-erative Reconstruction Techniques (P-SIRT). Based on algorithmic op-erators, convergence result are adjusted with Opial’s Theorem. The advantages of P-SIRT are demonstrated on examples taken from to-mographic imaging.

On new faster fixed point iterative schemes for contraction operators and comparison of their rate of convergence in convex metric spaces

In this paper we present new iterative algorithms in convex metric spaces. We show that these iterative schemes are convergent to the fixed point of a single-valued contraction operator. Then we make the comparison of their rate of convergence. Additionally, numerical examples for these iteration processes are given.