Open AccessABOUT THE TWO-STAGE PROXIMAL METHOD FOR SOLVING OF EQUILIBRIUM PROBLEMS
Author(s) -
Ya. I. Vedel,
В. В. Семенов,
L. M. Chabak
Publication year - 2019
Publication title -
žurnal občislûvalʹnoï ta prikladnoï matematiki
Language(s) - English
Resource type - Journals
eISSN - 2706-9699
pISSN - 2706-9680
DOI - 10.17721/2706-9699.2019.2.03
Subject(s) - variational inequality , convergence (economics) , hilbert space , mathematics , mathematical optimization , space (punctuation) , iterative method , mathematical economics , computer science , mathematical analysis , economics , economic growth , operating system
In this paper, the weak convergence of an iterative twostage proximal method for the approximate solution of the equilibrium problem in a Hilbert space is investigated. This method was recently been developed by Vedel and Semenov and can be used to solve mathematical programming problems, variational inequalities and game theory problems. The analysis of the convergence of the method was carried out under the assumption of the existence of a solution of the equilibrium problem and under conditions weaker than the previously considered ones.