Cyclic algorithm for common fixed points of finite family of strictly pseudocontractive mappings of Browder-Petryshyn type

Weak and strong convergence theorems for the iterative approximation of common fixed points of the family {Ti}i=1N are proved using the iterative sequence {xn}n=1∞. Furthermore, if E is an arbitrary real Banach space, it is shown that lim infn→∞‖xn−Tixn‖=0 for all i=1,2,…,N; and a necessary and sufficient condition that guarantees the strong convergence of {xn} to a common fixed point of the family {Ti} is given.