有限多个Lipschitz拟伪压缩映像公共不动点的迭代方法

摘要

In the present paper,a new iterative algorithm is introduced to construct common fixed points of a finite family of Lipschitz pseudo-contractive mappings.The algorithm proposed is proved to be strongly convergent to a specific common fixed point.The results obtained in the paper improve and extend the corresponding recent results by Zegeye.%引入一种新的迭代算法，用以构造有限多个 Lipschitz拟伪压缩映像的公共不动点，提出的迭代算法被证明依范数收敛于某个特定的公共不动点，所得结果改进并推广Zegeye等人的结果。