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A modified extragradient method for inverse-monotone operators in Banach spaces |
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| Authors: | Liwei Li W. Song |
| Affiliation: | (1) Department of Mathematics, Harbin Normal University, Harbin, 150080, China |
| Abstract: | 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. |
| Keywords: | Extragradient method Uniformly convex and uniformly smooth Banach space Weakly sequentially continuous Inverse-monotone operators Weak convergence |
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