Fixed point theorems in cone metric and uniform spaces

In this thesis, some fixed point theorems in cone metric and uniform spaces have been studied. At first, background information, some basic definitions and theorems were given. Then cone metric spaces were given fundamentally. In cone metric spaces, coincidence point and fixed point have been studied and it was seen that coincidence point is same with fixed point for weakly compatible mappings. Also some fixed point theorems for selfmappings satisfying two contractive conditions of integral type in uniform spaces have been studied. Lastly set-valued dynamic systems and random iterations of set-valued weaker contractions in uniform space were given.