A Constructive Scheme for a Common Coupled Fixed Point Problems in Hilbert Space

Abstract

Coupled fixed points have become the focus of interest in recent times, especially for their potential applications. Very recently, the idea of common coupled fixed point iterations has been introduced for approximating common coupled fixed points in linear spaces. Here, a coupled Mann pair iterative scheme is defined and is applied to the problem of finding common coupled fixed points of certain mappings. The discussion of the paper is in the context of Hilbert spaces.

Keywords

• common coupled fixed point
• Condition A
• Condition B
• coupled Mann pair iterative scheme
• converge
• Hilbert space