The Convergence Theorems Of The Solutions Of Some Split Feasibility Problems In Banach Spaces

In this thesis,firstly,the split common fixed problems are considered in two Banach spaces,which one is the smooth Banach space,another is a q-uniformly smooth and uniformly convex Banach space,and the weak and strong convergence theorems of solutions of split common fixed problems for asymptotically nonex-pansive and nonexpansive mappings are obtained.Secondly,in the framework of two p-uniformly convex and uniformly smooth Banach spaces,the split equality problems are investigated,and the strong convergence theorems are also obtained by using the Halpern iterative method and the Bregman projection method.Fi-nally,as application,the results presented in this thesis are used to solve the convexly constrained linear inverse problem and the hierarchical variational in-equality problem in Banach spaces.The main results in this thesis improve and extend some recent corresponding results announced.