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Ngày xuất bản: 15/01/2024
Số lượt xem tóm tắt: 177
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DOI: https://doi.org/10.59907/daujs.2.4.2023.202
Số xuất bản
Tập 2 Số 4 (2023): English Edition
Chuyên mục
KHOA HỌC TỰ NHIÊN
Trích dẫn bài báo
Trần, V. T. (2024). A New Inertial Subgradient Projection Algorithm for Solving Pseudomonotone Equilibrium Problems. Tạp chí Khoa học Đại học Đông Á, 2(4). https://doi.org/10.59907/daujs.2.4.2023.202

A New Inertial Subgradient Projection Algorithm for Solving Pseudomonotone Equilibrium Problems

Trần Văn Thắng

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Tóm tắt

In this paper, we introduce a new inertial subgradient projection algorithm for finding a solution of an equilibrium problem in a real Hilbert space. The proposed algorithm combines subgradient projection methods with the self-adaptive and inertial techniques to generate iteration sequences. The convergent theorem are established under mild assumptions. Several fundamental experiments are shown to illustrate our algorithm.

Chi tiết bài viết

Từ khóa

Equilibrium problem, subgradient, projection, pseudomonotone, self adaptive stepsize, inertial technique

Tài liệu tham khảo

Anh, P. N., Muu, L., Nguyen, V., & Strodiot, J. (2005). Using the Banach contraction principle to implement the proximal point method for multivalued monotone variational inequalities. Journal of optimization theory and applications, 124, 285-306.
Bauschke, H., & Combettes, P. (2011). Convex Analysis and Monotone Operator Theory in Hilbert Spaces, 2011. CMS books in mathematics). DOI, 10, 978-971.
Blum, E. (1994). From optimization and variational inequalities to equilibrium problems. Math. student, 63, 123-145.
Hung, P. G. (2011). The Tikhonov regularization extended to equilibrium problems involving pseudomonotone bifunctions. Nonlinear Analysis: Theory, Methods & Applications, 74(17), 6121-6129.
Khoa, N. M., & Van Thang, T. (2022). Approximate projection algorithms for solving equilibrium and multivalued variational inequality problems in Hilbert space. 대한수학회보, 59(4), 1019-1044.
Konnov, I. (2001). Combined relaxation methods for variational inequalities (Vol. 495). Springer Science & Business Media.
Korpelevich, G. (1977). Extragradient method for finding saddle points and other problems. Matekon, 13(4), 35-49.
Oggioni, G., Smeers, Y., Allevi, E., & Schaible, S. (2012). A generalized Nash equilibrium model of market coupling in the European power system. Networks and Spatial Economics, 12, 503-560.
Tyrrell Rockafellar, R. (1970). Convex analysis. Princeton mathematical series, 28.
Van Thang, T. (2022). Inertial Subgradient Projection Algorithms Extended to Equilibrium Problems. Bulletin of the Iranian Mathematical Society, 48(5), 2349-2370.
Van Thang, T., & Khoa, N. M. (2022). Halpern Subgradient Method for Pseudomonotone Equilibrium Problems in Hilbert Space. Kyungpook Mathematical Journal, 62(3).