FIXED POINT THEOREMS IN CAT(0) SPACES USING A GENERALIZED Z-TYPE CONDITION

In this paper, we establish strong convergence theorems for SP-iteration process and Mann iteration process in the framework of CAT(0) spaces by using generalized Z-type condition which is more general than Zamfirescu operator. Our results extend and improve upon, among others, the corresponding results proved by Berinde [2, 4], Bosede [5], Yildirim et al. [29] and some others.