ON NADLER'S FIXED POINT THEOREM FOR PARTIAL METRIC SPACES

Year 2013, Volume: 1 Issue: 1, 1 - 8, 01.06.2013

Salvador Romaguera

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

Keywords

Complete partial metric, partial Hausdorff metric, multi-valued map, Nadler’s fixed point theorem

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• Instituto Universitario de Matem´atica Pura y Aplicada. Universitat Polit`ecnica de Val`encia. Cam´ı de Vera s/n, 46022 Valencia, Spain
• E-mail address: [e-mail]