局部凸H-空间内非紧无限最优化和约束对策

应用局部凸Ｈ－空间内具有闭零调值的上半连续集值映象的Ｆａｎ－Ｇｌｉｃｋｓｂｅｒｇ型不动点定理和极大化定理，对无限最优化总理２和约束对策问题在没有线性结构的局部凸Ｈ－空间内证明了解的某些新的存在定理，这些定理改进和推广了最近文献中的许多重要结果。

Noncompact Infinite Optimization and Constrained Games in Locally Convex H-spaces

By applying a Fan-Glicksberg type fixed point theorem for upper semicontinuous set-valued mappings with closed acyclic values in locally convex H-spaces and a maximum theorem, some new existence theorems of solutions for infinite optimization problems and constrained game problems are proved in noncompact locally convex H-spaces without linear structure. These theorems improve and generalize a number of important results in recent literature.