局部凸H-空间内非紧无限最优化和约束对策(英文)

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

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 ,对无限最优化问题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 .

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.