Contractive modulus and common fixed point for three asymptotically regular and weakly compatible self-maps

T. Phaneendraa,* and Swatmaramb

Contractive modulus and common fixed point for three asymptotically regular and weakly compatible self-maps

Authors :

T. Phaneendra^a,*and Swatmaram^b

Author Address :

^aApplied Analysis Division, School of Advanced Sciences, VIT-University, Vellore-632014, Tamil Nadu, India.
^bDepartment of Mathematics, Chathanya Bharathi Institute of Technology, Hyderabad-500 075, Andhra Pradesh India.

*Corresponding author.

Abstract :

A common fixed point theorem for three self-maps on a metric space has been proved through the notions of orbital completeness, asymptotic regularity and weak compatibility. Our result generalizes those of Singh and Mishra, and the first author.

Keywords :

Orbit, asymptotic regularity, weakly compatible self-maps, common fixed point.

DOI :

Article Info :

Received : February 20, 2013; Accepted : July 15, 2013.