Abstract. We study the convergence analysis of a Picard-S iterative method for a particular class of weak-contraction mappings and give a data dependence result for fixed points of these mappings.

Taiwanese Journal of Mathematics, Vol. 16, No. 5 (October 2012), pp. 1681-1705 (26 pages) Abstract In this paper, we study the problem of finding a common element of the set of fixed points of a ...

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: ...