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Generalizations of Caristi Kirk's Theorem on Partial Metric Spaces

Generalizations of Caristi Kirk's Theorem on Partial Metric Spaces

Abstract In this article, lower semi-continuous maps are used to generalize Cristi-Kirk's fixed point theorem on partial metric spaces. First, we prove such a type of fixed point theorem in compact partial metric spaces, and then generalize to complete partial metric spaces. Some more general results are also obtained in …