Some best proximity point results via F-contraction on metric spaces

In this thesis, firstly, the historical process of the fixed point theory is briefly given. In order to facilitate the understanding of the thesis, some important definitions, theorems and examples in the literature that we will use while expressing and proving our own results are given.Then,the fixed point results obtained for the set-valued and F-contraction mappings are given. After expressing the best convergence point concept and theorems, some best convergence point results are obtained using the new type F-contraction by considering the approaches of Feng-Liu and Wardowski.