A CONSTRUCTIVE ALGORITHM FOR A COUPLED FIXED POINT PROBLEM

Abstract

Coupled fixed points have come to the focus of interest in recent times especially for their potential applications. Very recently the idea of coupled fixed point iterations has been introduced for approximating coupled fixed points in linear spaces. Here a coupled Mann type iteration is defined and is applied to the problem of finding coupled fixed points of certain mappings. The discussion of the paper is in the context of Hilbert spaces. An illustration of the main result is also given.