Fixed Point Theorems For Multivalued Mappings And Non-self Mappings On Partial Metric Spaces

Recent years, The research on fixed point theory and application of partial metric space have become hot issue in nonlinear analysis, The partial metric space generalizes the general metric space, the research of fixed point theory of nonlinear in partial metric space contributes more theoretical significance of nonlinear analysis. This paper mainly studied some fixed point problems of several kinds of mapping in partial metric spaces.There are three chapters in this thesis.In chapter one, the historical backgrounds and current situation of partial metric space theory and application are introduced and some related concepts of partial metric spaces are given.In chapter two, we introduce the notions of multivalued f-weak contraction and generalized multivalued f-weak contraction on partial metric spaces. We obtain some coincidence and fixed point theorems and give example to demonstrate the fact that the validity of the results. Our results extend and generalize some well known fixed point theorems on partial metric spaces.In chapter three, we introduce the notions of generalized T-contractive mappings and obtain a common fixed-point theorem of a generalized T-contractive for a pair of non-self mappings on partial spaces. At the same time we furnish example to demonstrate the fact that the validity of the results. These results generalize the existing related conclusions.