• FIXED POINT THEOREMS FOR SELF MAPS ON A PARTIALLY ORDERED SET WITH A METRIC INVOLVING RATIONAL EXPRESSIONS

Abstract

In this paper, we obtain sufficient conditions for a self map on a partially ordered set with a metric controlled by a non decreasing function involving rational expressions, to have a fixed point. We also obtain condition for the uniqueness of the fixed point. An example, to show the non uniqueness of the fixed points is proved. We conclude that maps of the type discussed partition the partially ordered set with respect to the fixed points.