A hybrid of the extragradient method and proximal point algorithm for inverse strongly monotone operators and maximal monotone operators in Banach spaces |
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| Affiliation: | 1. Department of Mathematics, Northeast Normal University, Changchun 130024, China;2. Department of Mathematics, Harbin Normal University, Harbin 150080, China;1. Department of Industrial Engineering, Faculty of Industrial & Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran;2. Department of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran |
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| Abstract: | In the paper, we introduce two iterative sequences for finding a point in the intersection of the zero set of a inverse strongly monotone or inverse-monotone operator and the zero set of a maximal monotone operator in a uniformly smooth and uniformly convex Banach space. We prove weak convergence theorems under appropriate conditions, respectively. |
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