This text mainly study the strong vector equilibrium problems,the generalized vector equilibrium problems , the generalized vector quasi-equilibrium problems and the parametric vector equilibrium problem, made by the Fan-KKM theorem,the generalized section theorem and the generalized Fan-Browde fixed point theorem.

The solvability of a class of generalized strong vector quasi-equilibrium problems(GSVQEP) with set-valued maps are studied.

Existence of solutions to general vector equilibrium-like problems;

This text mainly study the strong vector equilibrium problems,the generalized vector equilibrium problems , the generalized vector quasi-equilibrium problems and the parametric vector equilibrium problem, made by the Fan-KKM theorem,the generalized section theorem and the generalized Fan-Browde fixed point theorem.

In this thesis, the definitions of Levitin-Polyak well-posedness are extended to vector equilibrium problems and two classes of generalized vector quasi-equilibrium problems.

In this paper,three classes of gener alized vector quasi-equilibrium problems with set-valued mappings are studied.

The Stampacchia generalized vector quasi-equilibrium problems(in short,GVQEP) with set-valued mappings are considered.

In this paper, we mainly discuss the existence results of the stampacchia generalized vector quasi-equilibrium problems.