An extragradient method for equilibrium problems on Hadamard manifolds

作者：Cruz Neto J X; Santos P S M^*; Soares P A Jr

来源：Optimization Letters, 2016, 10(6): 1327-1336.

DOI：10.1007/s11590-015-0933-0

• Equilibrium problem
• Hadamard manifold
• Convexity
• Extragradient method

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.

• 出版日期2016-8