## On the chord method

Abstract Let $$X_{1},X_{2}$$ be two Banach spaces, $$f:X_{1}\rightarrow X_{2}$$ a nonlinear mapping and consider the chord method for solving the…

## On a Steffensen type method for solving nonlinear operator equations

Abstract Let $$X$$ be a Banach space, $$Y$$ a normed space and the nonlinear operator equation $$P\left( x\right) =0$$, where…

## On approximating the solutions of equations in metric spaces

Abstract Let $$\left( X,\rho \right)$$ be a complete metric space, $$f:X\rightarrow X$$ a nonlinear mapping. In order to solve the…

## Error estimations in the numerical solving of the systems of equations

Abstract Let $$\left( x_{i},\rho_{i}\right) ,\ i=1,2,$$ be two complete metric space and $$F_{1}:X_{1}\times X_{2}\rightarrow X_{1},\ F_{2}:X_{1}\times X_{2}\rightarrow X_{2}$$ two nonlinear…

## An algorithm in the solving of equations by interpolation

Abstract Consider the nonlinear equation in $$R$$, $$f\left( x\right) =0$$, where $$f:A\rightarrow B$$, $$(A,B\subseteq \mathbb{R})$$ which is assumed bijective. The Lagrange…

## Error estimations in the numerical solving of systems of equations in metric spaces

Abstract Let $$X_{1},X_{2}$$ be two complete metric spaces, $$X=X_{1}\times X_{2}$$ and the nonlinear mappings $$F_{1}:X\rightarrow X_{1},\ F_{2}:X\rightarrow X_{2}$$. In order…

## On the error estimation in the numerical convergence of certain iterative methods

Abstract We study the nonlinear equations of the form $x=\lambda D\left( x\right) +y,$ where $$\lambda \in \mathbb{R}$$ and $$y\in E$$…

## Solving equations with the aid of inverse rational interpolation functions

Abstract We study the convergence of an iterative method for solving the equation $$f\left( x\right) =0,\ f:A\rightarrow B$$, $$A,B\subseteq \mathbb{R}$$, $$f$$…