In science, the term “equilibrium” has been widely used in physics, chemistry, biology,
engineering, and economics, among others, within different frameworks. It generally refers to …

This paper aims to propose two new algorithms that are developed by implementing inertial
and subgradient techniques to solve the problem of pseudomonotone equilibrium problems …

We present a natural extension of DC programming and DCA for modeling and solving
general DC programs with DC constraints. Two resulting approaches consist in …

A new class of extragradient-type methods is introduced for solving an equilibrium problem
in a real Hilbert space without any monotonicity assumption on the equilibrium function. The …

In this paper, we present a new iteration method for solving monotone equilibrium problems.
This new method is based on the ergodic iteration method Ronald and Bruck in (J Math Anal …

In this paper, we propose new subgradient extragradient methods for finding a solution of a
strongly monotone equilibrium problem over the solution set of another monotone …

In the literature, the most authors modify the viscosity methods or hybrid projection methods
to construct the strong convergence algorithms for solving the pseudomonotone equilibrium …

In this paper, we present DC (difference of convex functions) auxiliary principle methods for
solving lexicographic equilibrium problems. Under the strongly monotone and Lipchitz-type …

Projection methods are a popular class of methods for solving equilibrium problems. In this
paper, we propose approximate one projection methods for solving a class of equilibrium …

In this paper, building upon auxiliary principle technique and using proximal operator, we
introduce a new explicit algorithm for solving monotone hierarchical equilibrium problems …