Regularization methods for accretive variational inequalities over the set of common fixed points of nonexpansive semigroups |
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| Authors: | Nguyen Thi Thu Thuy Pham Thanh Hieu |
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| Institution: | 1. Department of Mathematics and Informatics, University of Sciences, Thai Nguyen University, Thai Nguyen, Vietnam.;2. Department of Basic Science, University of Agriculture and Forestry, Thai Nguyen University, Thai Nguyen, Vietnam. |
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| Abstract: | In this paper, we introduce a regularization method based on the Browder–Tikhonov regularization method for solving a class of accretive variational inequalities over the set of common fixed points of a nonexpansive semigroup on a uniformly smooth Banach space. Three algorithms based on this regularization method are given and their strong convergence is studied. Finally, a finite-dimensional example is developed to illustrate the numerical behaviour of the algorithms. |
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| Keywords: | Regularization variational inequality common fixed point nonexpansive semigroup accretive mapping NST condition |
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