Common fixed point theorem under contractions in partial metric spaces
In 1994, Matthews introduced the notion of a partial metric space. Later on, O'Neill generalized Matthews' notion of partial metric, in order to establish connections between these structures and the topological aspects of domain theory. The aim of this paper is to present coincidence point result for two mappings in complete partial metric spaces in the sense of O'Neill which satisfy new contractive conditions. Our result generalizes Banach's fixed point theorem for dualistic partial metric spaces.
common fixed point partial metric domain theory dualistic partial metric