Common fixed points of Geraghty-Berinde type contraction maps in partial metric spaces

Abstract

In this paper, we introduce Geraghty-Berinde type contraction maps for a pair of maps in partial metric spaces and prove the existence of common fixed points in which the pair is weakly compatible and restricting the completeness of $X$ to its subspace. Also, we extend the same for two pairs of maps. We provide examples in support of our results.