Well Posed Generalized Vector Quasi Equilibrium Problems

摘要

The theory of vector variational inequalities have begun with the works of Giannessi. This theory has shown to be very useful in studying problems arising in mechanics, optimization, transportation, economics, equilibrium, contact problems in elasticity and other problems of practical interest. In recent years a considerable number of generalizations of vector variational inequalities have been considered, studied and applied in various directions. The general variational inequality provides us with a unified simple and natural framework to studying a wide class of problems (including unilateral moving boundary, obstacle free boundary and equilibrium problems arising in various areas of economics and applied sciences), while the existence problem of the solutions of this problem are helpful in the sense that one would like to know if a solution of a general variational inequalities exists before one actually devises some plausible algorithms for solving the problems when existence results of the solution for variational inequalities were abundant in the literature, but this is not the case for general variational inequalities of Stampaechia type.