• A FIXED POINT THEOREM OF GENERALIZED WEAKLY CONTRACTIVE MAPS IN ORBITALLY COMPLETE METRIC SPACES WHEN THE CONTROL FUNCTION IS NOT NECESSARILY CONTINUOUS

Abstract

In this paper, we have introduced the concept of a control function, and strict generalized weakly contractive map of a metric space. We use this notion to prove a fixed point theorem on orbitally complete metric spaces. Babu and Sailaja [3] proved a similar result assuming the control function to be continuous. An open problem is also given at the end of the paper.