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20112024
most citedParallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings

113 citations · 118 across the 12 of their papers we have counts for

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13 papers

math.OC2024

A bilevel optiization based algorithm for solving a class of price equilibrium problems

Nguyen Ngoc Hai, Le Dung Muu, Nguyen Van Quy

We consider class of equilibrium models including the implicit Walras supply-demand and competitive models. Such a model in this class, in general, is ill-posed. We formulate such…

math.OC2024

Adaptive multi-gradient methods for quasiconvex vector optimization and applications to multi-task learning

Nguyen Anh Minh, Le Dung Muu, Tran Ngoc Thang

We present an adaptive step-size method, which does not include line-search techniques, for solving a wide class of nonconvex multiobjective programming problems on an unbounded co…

math.OC2021

An extragradient algorithm for quasiconvex equilibrium problems without monotonicity

Le Hai Yen, Le Dung Muu

We attempt to provide an algorithm for approximating a solution of the quasiconvex equilibrium problem that was proved to exist by K. Fan 1972. The proposed algorithm is an iterati…

math.OC2021

On fixed point approach to equilibrium problem

Le Dung Muu, Xuan Thanh Le

The equilibrium problem defined by the Nikaidô-Isoda-Fan inequality contains a number of problems such as optimization, variational inequality, Kakutani fixed point, Nash equilibri…

math.OC2020

A parallel subgradient projection algorithm for quasiconvex equilibrium problems under the intersection of convex sets

Le Hai Yen, Le Dung Muu

In this paper, we studied the equilibrium problem where the bi-function may be quasiconvex with respect to the second variable and the feasible set is the intersection of a finite…

math.OC2019

A subgradient method for equilibrium problems involving quasiconvex bifunctions

Le Hai Yen, Le Dung Muu

In this paper we propose a subgradient algorithm for solving the equilibrium problem where the bifunction may be quasiconvex with respect to the second variable. The convergence of…