An interior approximal method for solving pseudomonotone equilibrium problems
Phạm Ngọc Ánh, Phạm Minh Tuấn, Le B Long · Journal of Inequalities and Applications · 2013
In this paper, we present an interior approximal method for solving equilibrium problems for pseudomonotone bifunctions without Lipschitz-type continuity on polyhedra. The method can be viewed as combining a special interior proximal function, which replaces the usual quadratic function, Armijo-type linesearch techniques and the cutting hyperplane methods. Convergence properties of the method are established, among them the global convergences are proved under few assumptions. Finally, we present some preliminary computational results to Cournot-Nash oligopolistic market equilibrium models. MSC: 65K10, 90C25.