Some fixed point theorems for Hardy-Rogers type mappings

Abstract

The first result establishes a fixed point theorem for three maps of a complete metric space. The contractive definition is a generalization of that of Hardy and Rogers, and the commuting condition of Jungck is replaced by the concept of weakly commuting. The other results are extensions of some theorems of Kannan.

Keywords

• asymptotically regular sequences
• common fixed points
• metric space
• strictly convex Banah space
• weakly commuting mappings.