|
Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 11, Page 1951
(Mi zvmmf9747)
|
|
|
|
This article is cited in 16 scientific papers (total in 16 papers)
Regularization methods for a class of variational inequalities in Banach spaces
Ngyuen Buonga, Ngyuen Thi Hong Phuongb a Vietnamese Academy of Science and Technology, Institute of Information Technology, 18, Hoang Quoc Viet Hanoi, Vietnam
b 9/5, Tran Quoc Hoan, Cau Giay, Ha Noi, Viet Nam
Abstract:
In this paper, we introduce two regularization methods, based on the Browder–Tikhonov and iterative regularizations, for finding a solution of variational inequalities 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 Gateaux differentiate norm.
Key words:
Regularization, nonexpansive mapping, fixed point, variational inequality.
Received: 19.03.2012 Revised: 21.05.2012
Citation:
Ngyuen Buong, Ngyuen Thi Hong Phuong, “Regularization methods for a class of variational inequalities in Banach spaces”, Zh. Vychisl. Mat. Mat. Fiz., 52:11 (2012), 1951; Comput. Math. Math. Phys., 52:11 (2012), 1487–1496
Linking options:
https://www.mathnet.ru/eng/zvmmf9747 https://www.mathnet.ru/eng/zvmmf/v52/i11/p1951
|
Statistics & downloads: |
Abstract page: | 309 | Full-text PDF : | 83 | References: | 50 | First page: | 1 |
|