A subgradient method for equilibrium problems involving quasiconvex bifunctions

TL;DR

This paper introduces a subgradient algorithm tailored for equilibrium problems involving quasiconvex bifunctions, with proven convergence and demonstrated effectiveness through a numerical example.

Contribution

It presents a novel subgradient method specifically designed for quasiconvex bifunctions in equilibrium problems, expanding existing solution techniques.

Findings

Algorithm converges under specified conditions

Numerical example demonstrates practical applicability

Effective for generalized variational inequality problems

Abstract

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 the algorithm is investigated. A numerical example for a generalized variational inequality problem is provided to demonstrate the behavior of the algorithm.