A Fixed Point Theorem for New Type Contractions on Weak Partial Metric Spaces

Abstract

Recently, Karapinar and Romaguera (Filomat 27: 1305-1314, 2013) have introduced a new type contraction on partial metric spaces, and they have obtained a nonunique fixed point result. Then Romaguera (Math. Sci. Appl. E-Notes 1: 1-8, 2013) used this contraction to obtain some multivalued fixed point results on partial metric spaces. In the present work, we give a fixed point result on weak partial metric spaces using this new idea.