拓扑空间上的不动点和具有上下界的广义平衡问题  

Fixed Points and Generalized Equilibrium Problems with Lower and Upper Bounds in Topological Spaces

作　　者：朴勇杰[1] 

机构地区：[1]延边大学理学院数学系,延吉133002

出　　处：《应用数学学报》2012年第6期1082-1090,共9页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(10361005;11261062);吉林省教育厅十二五科学技术研究(吉教科合字[2011]第434号)资助项目

摘　　要：引进了弱Φ-映射的定义并得到了具有ω-连通结构但没有紧致结构的拓扑空间上定义的弱Φ-映射的不动点定理.作为上述结果的应用,在非紧致的拓扑空间上讨论了若干的具有上下界的广义平衡问题的解的存在性问题.The definition of a weak Ф-map was introduced and some fixed point theorems for a weak Ф-map defined on topological spaces with ω-connected structure and without any compact setting were obtained. As applications of the above results, several existence of solutions for generalized equilibrium problems with lower and upper bounds were discussed in non-compact topological spaces.

关 键 词：广义凸空间 ω-连通 φ-映射 弱φ-映射 广义平衡问题 

分 类 号：O189.1[理学—数学] O177.91[理学—基础数学]