Fixed point theory

On the existence and uniqueness of positive solutions of some mildly nonlinear elliptic boundary value problems

6 years ago

AbstractFor a homogeneous Dirichlet problem attached to a semilinear elliptic equation we study the existence and uniqueness of non-negative solutions.…

Estimating the radius of an attraction ball

7 years ago

Abstract Given a nonlinear mapping \(G:D\subseteq \mathbb{R}^n\rightarrow \mathbb{R}^n\) differentiable at a fixed point \(x^\ast\), the Ostrowski theorem offers the sharp…

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

7 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,…

Sufficient convergence conditions for certain accelerated successive approximations

7 years ago

Abstract We have recently characterized the q-quadratic convergence of the perturbed successive approximations. For a particular choice of the parameters, these…

On the superlinear convergence of the successive approximations method

7 years ago

Abstract The Ostrowski theorem is a classical result which ensures the attraction of all the successive approximations xk+1 = G(xk) near a fixed…

On accelerating the convergence of the successive approximations method

7 years ago

Abstract No q-superlinear convergence to a fixed point \(x^\ast\) of a nonlinear mapping \(G\) may be attained by the successive approximations when…

Fixed point theory

Related Posts

On the existence and uniqueness of positive solutions of some mildly nonlinear elliptic boundary value problems

Estimating the radius of an attraction ball

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

Sufficient convergence conditions for certain accelerated successive approximations

On the superlinear convergence of the successive approximations method

On accelerating the convergence of the successive approximations method