nonlinear equations in Banach spaces

On iteration methods applied in Banach space for the resolution of nonlinear functional equations

2 months ago

Abstract AuthorsB. Janko Institutul de Calcul Keywords? Paper coordinatesB. Jankó, Sur les méthodes d’itération appliquées dans l’espace de Banach pour la…

On the convergence of some quasi-Newton iterates studied by I. Păvăloiu

8 years ago

Abstract In 1986, I. Păvăloiu [6] has considered a Banach space and the fixed point problem \[x=\lambda D\left( x\right) +y,…

On a third order iterative method for solving polynomial operator equations

8 years ago

Abstract We present a semilocal convergence result for a Newton-type method applied to a polynomial operator equation of degree (2).…

On the Steffensen method for solving nonlinear operator equations

8 years ago

Abstract We consider the equation \[F\left( x\right) =x-A\left( x\right)=0,\] where \(A\) is an operator from a Banach space \(X\) to…

On some Steffensen-type iterative methods for a class of nonlinear equations

8 years ago

Abstract Consider the nonlinear equations \(H(x):=F(x)+G(x)=0\), with \(F\) differentiable and \(G\) continuous, where \(F,G,H:X \rightarrow X\) are nonlinear operators and \(X\)…

On some iterative methods for solving nonlinear equations

8 years ago

Abstract Consider the nonlinear equation \(H(x):=F(x)+G(x)=0\), with \(F\) differentiable and \(G\) continuous, where \(F,G,H:X \rightarrow X\), \(X\) a Banach space. The…

On some interpolatory iterative methods for the second degree polynomial operators (I)

8 years ago

Abstract In this note we consider the chord (secant) method and the Steffensen method for solving polynomial operators of degree…

Error estimation in the numerical solving of operator equations

8 years ago

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

On the iterative methods with high convergence orders

8 years ago

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

nonlinear equations in Banach spaces

Related Posts