Coupled fixed point theorems under new coupled implicit relation in Hilbert spaces

Abstract

The aim of this paper is to study existence and uniqueness of coupled fixed point for a family of self-mappings satisfying a new coupled implicit relation in a Hilbert space. We also prove well-posedness of a coupled fixed point problem.

Keywords

• coupled implicit relation
• coupled fixed point
• coupled asymptotically f-regular
• well-posedness
• hilbert space
• 47h10
• 46c15
• 49k40