Some subgradient extragradient type algorithms for solving split feasibility and fixed point problems

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• 作者：Nguyen The Vinh and Pham Thi Hoai
• 刊名：Mathematical Methods in the Applied Sciences
• 出版年：2016
• 出版时间：15 September 2016
• 年：2016
• 卷：39
• 期：13
• 页码：3808-3823
• 全文大小：270K
• ISSN：1099-1476

文摘

In this paper, we consider the split feasibility problem (SFP) in infinite-dimensional Hilbert spaces and propose some subgradient extragradient-type algorithms for finding a common element of the fixed-point set of a strict pseudocontraction mapping and the solution set of a split feasibility problem by adopting Armijo-like stepsize rule. We derive convergence results under mild assumptions. Our results improve some known results from the literature. Copyright