Cyclic Iterative Method for Strictly Pseudononspreading in Hilbert Space

Let {T i } N i 1 be N strictly pseudononspreading mappings defined on closed convex subset C 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 F ix T i

Cyclic Iterative Method for Strictly Pseudononspreading in Hilbert Space

Let {Ti}i=1N be N strictly pseudononspreading mappings defined on closed convex subset C 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∈⋂i=1NFix(Ti)

The Split Common Fixed Point Problem for -Strictly Pseudononspreading Mappings

We introduce and analyze the viscosity approximation algorithm for solving the split common fixed point problem for the strictly pseudononspreading mappings in Hilbert spaces. Our results improve and develop previously discussed feasibility problems and related results