ON NADLER'S FIXED POINT THEOREM FOR PARTIAL METRIC SPACES

Abstract

Recently, H. Aydi, M. Abbas and C. Vetro [Partial Hausdorff metric and Nadler’s fixed point theorem on partial metric spaces, Topology Appl.159 (2012), 3234-3242] have obtained a version of the well-known Nadler fixedpoint theorem for multi-valued maps on complete partial metric spaces. Inthis note we prove a new partial metric version of Nadler’s theorem and derivesome consequences of it