Regularization methods for nonlinear Ill-posed equations involving m-accretive mappings in Banach spaces |
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Authors: | Nguyen Buong Nguyen Thi Hong Phuong |
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Institution: | 1. Vietnamese Academy of Science and Technology, Institute of Information Technology, 18, Hoang Quoc Viet, Hanoi, Vietnam 2. 9/5, Tran Quoc Hoan, Cau Giay, Ha Noi, Viet Nam
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Abstract: | In this paper we prove strong convergence of the Browder-Tikhonov regularization method and the regularization inertial proximal point algorithm to a solution of nonlinear ill-posed equations involving m-accretive mappings in real, reflexive, and strictly convex Banach spaces with a uniformly Gâteaux differentiable norm without weak sequential continuous duality mapping. |
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