Let K be a compact convex subset of a real Hilbert space, H; T: K → K a continuous pseudocontractive map. Let {an}, {bn}, {cn}, {an ′}, {bn ′} and {cn ′} be real sequences in [0,1] satisfying ...

Let E be a closed, bounded, convex subset of a Banach space X, f: E→E. Consider the iteration scheme defined by $\overline{x}_{0}=x_{0}\ \epsilon \ E$, $\overline{x ...

Newton's method is actually a special case of what is generally known as a fixed point method. These methods rely on the Fixed point Theorem: ...