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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…

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

Abstract We consider the solving of the equation $$x=\lambda D\left( x\right)+y,$$ where $E$ is a Banach space and $D:E\rightarrow E$, \(\lambda\in…

Abstract Let $X$ be a Banach space, $Y$ a normed space, $G:X\rightarrow Y$ a nonlinear operator, and $G\left( x\right) =0$…

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

Abstract We study the convergence of an iterative method for solving the equation (fleft( xright) =0, f:Isubseteq mathbb{Rrightarrow R}). The…

Abstract We consider the solving of a nonlinear equation in $\mathbb{R}$. We construct a spline function which approximates the nonlinear…

Abstract Let $f:I\subset \mathbb{R\rightarrow R}$ be a nonlinear mapping and the equation $f\left( x\right) =0$ with solution $x^{\ast}$; consider the…

Abstract Let $\left( X,\rho \right)$ be a complete matrix space, the nonlinear mapping $\varphi:I\subset X\rightarrow X$ and the equation \(x=\varphi…

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…