Dissertation summary: On the existence of fixed point for some mapping classes in spaces with uniform structure and application

Research objective: The thesis is devoted to extend some results on the existence of fixed points in metric spaces to spaces with uniform structure. We also considered the existence of solutions of some classes of integral equations with unbounded deviation, which we can not apply fixed point theorems in metric spaces. The thesis can be a reference for under graduated students, master students and Ph.D students in analysis major in general, and the fixed point theory and applications in particular.