A class of non-equilibrium problem arising from secondary frost heave;

In this paper we give a solving method of multi-object and unbalanced assignment problem based on genetic algorithm, and transfer an unbalanced assignment problem into a problem of combinatorial optimization.

A New Method for Solving Equilibrium Problem Fixed Point Problem and Variational Inequality Problem with Application to Optimization;

In order to solve the equilibrium problem(EP), we introduce an auxiliary problem(AP) and prove that the approximate solutions generated by (AP) converges to the exact solution of (EP).

This paper is devoted to the study of convergence of solutions for equilibrium problems.

Iterative methods for mixed quasiequilibrium problems contracted by cone for set-valued mapping are proposed by using the auxiliary principle technique, and sufficient conditions for convergence of these iterative methods are also given.

A new equilibrium problem is made up according to mixed quasiequilibrium problems contracted by cone for set-valued mapping,and auxiliary principle technique and general Bregman function are used for getting the iterative algorithm of the new equilibrium problem.

In this thesis,we study two related problems:convex optimization problems and equilibrium problems.

Based on KKM technique, the existence of solution to a generalized vector equilibrium problem is studied.