Some fixed point theorems for f-contraction mappings in partial metric spaces.

This dissertation contributes to the existing generalizations of some metric fixed point results for F-contraction mappings in partial metric spaces. The partial metric space is a generalization of metric space with a notion of non-zero self distance. In establishing the main results of this research, approaches analogous to some exist- ing approaches of metric fixed point theory have been used. Some fixed point the- orems are proved; for F-contraction mappings in complete partial metric spaces, for multivalued F-contraction mappings in complete partial metric spaces and for ordered F-contraction mappings in complete ordered partial metric spaces. In particular, the main results of this research generalizes some known metric fixed point results for F-contraction mappings due to Wardowski 2012, for multivalued F- contraction mappings due to Altun et al. 2015 and for ordered F-contraction mappings due to Durmaz et al. 2016.