Luambano, Sholastica2020-01-232020-01-232018Luambano, S. (2018). Some fixed point theorems for f-contraction mappings in partial metric spaces. Master dissertation, University of Dar es Salaam.http://41.86.178.5:8080/xmlui/handle/123456789/6715Available in print form, East Africana Collection, Dr. Wilbert Chagula Library, Class mark (THS EAF QA611.28.L824)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.enMapping (mathematics)Metric spaceMathematical modelsThesis