On the approximation of the solutions of equations in Banach spaces by sequences
Abstract Let X be a Banach space, Y a normed space P:X\rightarrow Y a nonlinear operator and the equation \(P\left(…
(original)
On the convergence of a class of iteration methods of J. F. Traub
Abstract Let X be a Banach space, Y a normed space and P:X\rightarrow Y a nonlinear operator. We study the…
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…
Interpolation in linear normed spaces and applications
Abstract Let X,Y be two normed spaces and P:X\rightarrow Y a nonlinear operator. We construct the Lagrange interpolation operator for…
Solving the systems of operator equations by iterative methods
Abstract Let X,Y be two Banach spaces and Z=X\times Y. We consider the system of nonlinear equations \[x=\varphi \left( x,y\right),\\…