Generalized contractions on partial metric spaces (Q616918)

In the present paper, the authors prove some fixed point theorems for generalized nonlinear contractive type mappings on complete partial metric spaces, including a Banach type fixed point theorem due to \textit{S. G. Matthews} [Partial metric topology. Andima, Susan (ed.) et al., Papers on general topology and applications. Papers from the 8th summer conference at Queens College, New York, NY, USA, June 18--20, 1992. New York, NY: The New York Academy of Sciences. Ann. N. Y. Acad. Sci. 728, 183--197 (1994: Zbl 0911.54025)]. Moreover, a homotopy result on fixed points is given.