Strong convergence theorem of common elements for the set of solutions of two kinds of problems
In real Hilbert spaces,a new algorithm was constructed to find a common solution of the split feasibility problem and the fixed points problem involving two quasi-nonexpansive mappings.Under appropriate conditions,it was proved that the itera-tion sequence by the algorithm strongly converged to a common solution of the split feasibility problem and the fixed points prob-lem by using the demi-closed principle and properties of projection operators and conjugate operators.The effectiveness of the algorithm was verified by numerical experiments.The results of this paper improved and extended recent some relative results.
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