Some Results Of Fixed Point Theorem In Abstract Spaces

In this thesis, we study the fixed point theorem in Banach spaces and hyper-convex spaces. In the Banach space, the iterative approximation problems of fixed points are studied for asymptotically pseudo-contractive mappings; In the hypercon-vex space, we establish some results in the subsets having finite convexity property. These results extend the corresponding results in the recent literature.