The phrase "a class of equilibrium" is correct and usable in written English.
It can be used in contexts related to physics, economics, or systems theory, where different states of balance or stability are being discussed.
Example: "In thermodynamics, we often study a class of equilibrium that describes the stable states of a system under specific conditions."
Alternatives: "a category of balance" or "a type of stability".
We study a class of equilibrium problems which is identified with a complete metric space of functions.
Yu et al. [9] obtained the generic uniqueness of equilibrium points for a class of equilibrium problems.
In this paper, we are concerned with a class of equilibrium problems which can be studied in the framework of quasi-variational inequalities, see [36, 37].
Furthermore, by the methods of set-valued analysis, especially the Fort theorem, we get the generic uniqueness and convergence of solutions of a class of equilibrium problems in the sense of Baire category.
On the other hand, the strong vector equilibrium problem is a class of important equilibrium problems since a solution for the strong vector equilibrium problem is an ideal solution, which is better than other solutions such as efficient solution, weak efficient solution, Henig efficient solution and supper efficient solution (e.g., [36]).
In this paper, we considered a class of vector equilibrium problems.
In this paper, we introduce a hybrid subgradient method for finding a common element of the set of solutions of a class of pseudomonotone equilibrium problems and the set of fixed points of a finite family of multivalued nonexpansive mappings in Hilbert space.
In this paper, JFNK method is employed to solve a class of non-equilibrium radiation diffusion coupled to material thermal conduction equations, and two preconditioners are designed by linearizing the equations in two methods.
In 2011, Santos and Scheimberg [15] further proposed an inexact subgradient algorithm for solving a wide class of equilibrium problems that requires only one projection rather than two as in the extragradient method, and of which computational results show the efficiency of this algorithm in finite dimensional Euclidean spaces.
This paper is dedicated to the introduction a new class of equilibrium problems named generalized multivalued equilibrium-like problems which includes the classes of hemiequilibrium problems, equilibrium-like problems, equilibrium problems, hemivariational inequalities, and variational inequalities as special cases.
Inspired and motivated by the research and activities going in this fascinating area, we introduce and consider a new class of equilibrium problems, which is known as the generalized mixed equilibrium problems.
