Extragradient Algorithms with Linesearches for Solving Nonmonotone Equilibrium Problems in Banach Spaces

被引：0
|
作者：
Dinh, Bui Van [1 ]
Manh, Hy Duc [1 ]
Thanh, Tran Thi Huyen [1 ]
机构：
[1] Quy Don Tech Univ, Dept Math, Hanoi, Vietnam
来源：
VIETNAM JOURNAL OF MATHEMATICS | 2023年
关键词：
Equilibrium problem; Nonmonotonicity; Armijo linesearch; Strong convergence; Banach space; FIXED-POINT PROBLEMS; CONVERGENCE THEOREMS; AUXILIARY PRINCIPLE; PROJECTION ALGORITHMS;
D O I：
10.1007/s10013-023-00649-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a new extragradient algorithm with linesearches for solving equilibrium problems in a real Banach space where the bifunction is not required to satisfy any monotone property. Under assumptions on the continuity, convexity of the bifunction, and the nonemptyness of the solution set of the Minty equilibrium problem, we show that the iterative sequences generated by this algorithm converge strongly to a solution to the primal problem.
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页数：21
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