# (original)

## Solving equations by interpolation

Abstract Let $$X,Y$$ be normed spaces, $$G:X\rightarrow Y$$ a nonlinear operator, and the nonlinar equation $$G\left( x\right) =0$$. We define…

## On some iterative methods for solving nonlinear operator equations

Abstract Let $$X,Y$$ be two Banach spaces and $$P:X\rightarrow Y$$ a nonlinear operator. For solving the equation $$P\left( x\right) =0$$…

## On some iterative methods for solving operator equations

Abstract Let $$X,Y$$ be two Banach spaces and $$P:X\rightarrow Y$$ a nonlinear operator. We study the semilocal convergence of the…

## Error estimation in the numerical solving of operator equations

Abstract Let $$X$$ be a Banach space and $$\varphi:X\rightarrow X$$ a nonlinear operator. Assume the equation $$x=\varphi \left( x\right)$$ has…

## Considerations regarding the iterative methods obtained by inverse interpolation

Abstract Let $$X,Y$$ be two normed spaces and $$P:X\rightarrow Y$$ a nonlinear operator. We consider the generalized inverse interpolation polynomial and…

## On iterated operators

Abstract Let $$X,Y$$ be normed spaces and $$F:X\rightarrow Y$$ a nonlinear operator. Let $$Q:X\rightarrow X.$$ We study the convergence orders of…

## On the iterative methods with high convergence orders

Abstract Let $$X$$ be a Banach space and $$Y$$ a normed space, and $$P:X\rightarrow Y$$ a nonlinear operator. In order…