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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 10, Pages 19–26
(Mi ivm9040)
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This article is cited in 6 scientific papers (total in 6 papers)
Explicit iteration methods for a class of variational inequalities in Banach spaces
Nguyen Buonga, Nguen Thi Hong Phuonga, Nguyen Thi Thu Thuyb a Academy of Science and Technology of Vietnam, Instutute of Informational Technologies, 18 Hoahg Quok Viet., Hanoi, Vietnam
b Thaiguen College, Thaiguen University, Vietnam
Abstract:
In this paper, in order to solve a variational inequality problem over the set of common fixed points of an infinite family of nonexpansive mappings on real reflexive and strictly convex Banach spaces with a uniformly Gâteaux differentiable norm, we introduce two new explicit iteration methods.
Keywords:
nonexpansive mapping, fixed point, variational inequality.
Received: 23.02.2014
Citation:
Nguyen Buong, Nguen Thi Hong Phuong, Nguyen Thi Thu Thuy, “Explicit iteration methods for a class of variational inequalities in Banach spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 10, 19–26; Russian Math. (Iz. VUZ), 59:10 (2015), 16–22
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https://www.mathnet.ru/eng/ivm9040 https://www.mathnet.ru/eng/ivm/y2015/i10/p19
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Abstract page: | 613 | Full-text PDF : | 38 | References: | 29 | First page: | 8 |
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