广义凸空间内的非紧无限最优化和约束对策的平衡

Noncompact Infinite of Optimization and Equilibria of Constrained Games in Generalized Convex Spaces

由应用作者得到的拟平衡问题的一个新的存在性定理 ,在没有线性结构的广义凸空间内对非紧无限最优化问题和非紧约束对策问题证明了解的存在性定理· 这些定理改进和推广了最近文献中许多重要结果·

By applying a new existence theorem of quasi_equilibrium problems due to the author, some existence theorems of solutions for noncompact infinite optimization problems and noncompact constrained game problems are proved in generalized convex spaces without linear structure. These theorems improve and generalize a number of important results in recent literature.