A modified extragradient method for inverse-monotone operators in Banach spaces

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• 作者：Liwei Li and W. Song
• 关键词：Extragradient method ; Uniformly convex and uniformly smooth Banach space ; Weakly sequentially continuous ; Inverse ; monotone operators ; Weak convergence
• 刊名：Journal of Global Optimization
• 出版年：2009
• 出版时间：August, 2009
• 年：2009
• 卷：44
• 期：4
• 页码：609-629
• 全文大小：294.3 KB

文摘

We introduce an iterative procedure for finding a point in the zero set (a solution to 0 ∈ A(v) and v ∈ C) of an inverse-monotone or inverse strongly-monotone operator A on a nonempty closed convex subset C in a uniformly smooth and uniformly convex Banach space. We establish weak convergence results under suitable assumptions.