仿紧凸集上的广义拟变分不等式及其应用

Generalized Quasi-Variational inequalities on Paracompact Convex Sets with Applications

本文讨论了仿紧凸集上的广义执变分不等式解的存在性问题，并把所得结果应用于研究社会平衡问题、对策论、不动点问题以及Ｄｅｂｒｎｎｅｒ－Ｇｌｏｒ不等式，推广了［２－１０］中的相应结果。

In this paper the existence problem of solutions for generalized variationalinequalities on paracompact convex sets is discussed. As an application, we utilize the results presented in this paper to study the social equilibrium problem,game theory, fixed point problem and Debrunner-Flor inequality. Our resultsgenerlize the corresponding results of[2～10].