Note on an abstract continuation theorem
AbstractThe author shows that one may derive the property of homotopy invariance for the fixed point index (for compact maps…
1992
Quasiconvex functions of higher order and the behavior of some nonlinear functionals
Abstract 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 manifolds
Abstract 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 equations
Abstract 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 equations
Abstract 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 method
Abstract We extend the Steffensen method for solving the equation \(f\left( x\right)=0\) to the setting of the Banach spaces, \(f:X\rightarrow…