An extragradient method for equilibrium problems on Hadamard manifolds

被引：0
作者：
J. X. Cruz Neto
P. S. M. Santos
P. A. Soares
机构：
[1] DM/UFPI,
[2] CMRV/UFPI,undefined
[3] DM/UESPI,undefined
来源：
Optimization Letters | 2016年 / 10卷
关键词：
Equilibrium problem; Hadamard manifold; Convexity ; Extragradient method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we propose an extragradient algorithm for solving equilibrium problems on Hadamard manifolds to the case where the equilibrium bifunction is not necessarily pseudomonotone. Under mild assumptions, we establish global convergence results. We show that the multiobjective optimization problem satisfies all the hypotheses of our result of convergence, when formulated as an equilibrium problem.
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页码：1327 / 1336
页数：9
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