Iterative Algorithms of Common Elements for the Set of Solutions of Split Feasibility Problem and the Set of Common Fixed Points of a Finite Family of Quasi-Nonexpansive Operators
Iterative Algorithms of Common Elements for the Set of Solutions of Split Feasibility Problem and the Set of Common Fixed Points of a Finite Family of Quasi-Nonexpansive Operators
In real Hilbert spaces,we construct a new algorithm to find a common solution of the split feasibility problem and the fixed points problem involving a finite family of quasi-nonexpansive mappings.Under appropriate conditions,it is proved that the iteration sequence by the algorithm strongly converges to a common solution of the split feasibility problem and the fixed points problem by using the demi-closed principle and properties of projection operators and conjugate operators.The effectiveness of the algorithm is verified by numerical experiments.The results of this paper improve and extend recent some relative results.
关键词
分裂可行性问题/不动点问题/有限族拟非扩张算子
Key words
split feasibility problem/fixed points problem/a finite family of quasi-nonexpansive mappings
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