Strong Convergence Theorems for a Finite Family of λ i ‐Strict Pseudocontractions in 2‐Uniformly Smooth Banach Spaces by Metric Projections

Xin-dong Liu, Shih-sen Chang, Xiong-rui Wang · Journal of Applied Mathematics · 2012

A new hybrid projection algorithm is considered for a finite family of λ i ‐strict pseudocontractions. Using the metric projection, some strong convergence theorems of common elements are obtained in a uniformly convex and 2‐uniformly smooth Banach space. The results presented in this paper improve and extend the corresponding results of Matsushita and Takahshi, 2008, Kang and Wang, 2011, and many others.

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