Cyclic Iterative Method for Strictly Pseudononspreading in Hilbert Space

Let {Ti}Ni 1 beN strictly pseudononspreadingmappings defined on closed convex subsetC of a real Hilbert space H. Consider the problem of finding a common fixed point of these mappings and introduce cyclic algorithms based on general viscosity iteration method for solving this problem. We will prove the strong convergence of these cyclic algorithm. Moreover, the common fixed point is the solution of the variational inequality 〈 γf − μB x∗, v − x∗〉 ≤ 0, ∀v ∈ ⋂N i 1 Fix Ti .