Weak and strong convergence theorems of iteration sequences for asymptotically nonexpansive mappings in Banach spaces

In this thesis, we study the three-step iterative schemes for approximating common fixed points of three asymptotically nonexpansive self and nonself mappings in uniformly convex Banach spaces. Several strong and weak convergence results on these iterative schemes are established under certain conditions in uniformly convex Banach spaces. The results obtained in this thesis improve the recent ones announced by Banerjee and Choudjury [4], Khan and Hussain [19], Nilsrakoo and Saejung [24], Suantai [32], Temir [35] and Thianwan [36].