Fixed Point Theory for Cyclic Generalized Weak ϕ -Contraction on Partial Metric Spaces

Abstract

A new fixed point theorem is obtained for the class of cyclic weak $\varphi$-contractions on partially metric spaces. It is proved that a self-mapping $T$ on a complete partial metric space $X$ has a fixed point if it satisfies the cyclic weak $\varphi$-contraction principle.