Some boyd and wong type fixed point theorems in partial metric spaces.

Abstract

This dissertation intends to give out contribution on the possible generalisations of some results in metric spaces employing Boyd and Wong type contractive condition to the setting of partial metric spaces. Metric spaces are actually extended by generalizing them to partial metric by dropping down the necessity of distance between the same point to be zero (non-zero self-distance). Non-zero self-distance is motivated by the experiences from computer sciences especially in partial computations of data. With the extra property of non-zero self-distance, partial metric spaces are the symmetrical generalisation of metric spaces using distance function in studying non-Hausdorff topologies used in the study of programming languages semantics especially in the Scott-Strachey approach.