Note on an abstract continuation theorem12 months agoAbstractThe author shows that one may derive the property of homotopy invariance for the fixed point index (for compact maps…
Quasiconvex functions of higher order and the behavior of some nonlinear functionals12 months agoAbstract A result of T. Popoviciu, which characterizes real linear functionals on \(C(I)\) that are positive on n-convex functions as…
Balance equations for the vector fields defined on orientable manifolds5 years agoAbstract AuthorsC. Vamoş Tiberiu Popoviciu Institutue of Numerical Analysis A. Georgescu Faculty of Science, University of Pitești N. Suciu…
Error estimation in numerical solution of equations and systems of equations5 years agoAbstract In \cite{7 Urabe}, \cite{8 Urabe} M. Urabe studies the numerical convergence and error estimation in the case of operatorial equation…
Optimal problems concerning interpolation methods of solution of equations5 years agoAbstract We consider optimality problems regarding the order of convergence of the iterative methods which are obtained by inverse interpolation…
On a generalization of the Steffensen method5 years agoAbstract We extend the Steffensen method for solving the equation \(f\left( x\right)=0\) to the setting of the Banach spaces, \(f:X\rightarrow…