L-凸度量空间中的一般拟平衡问题及其对约束多目标对策的应用(英文)  

General Quasiequilibrium Problems in L-Convex Metric Spaces with Application to Constrained Multiobjective Games

作　　者：文开庭[1] 

机构地区：[1]毕节学院计算机科学系,贵州毕节551700

出　　处：《四川师范大学学报（自然科学版）》2011年第3期313-317,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：This work was supported by the Natural Scientific Research Foundation of Guizhou Provincial Education Department(2008072);the Natural Science Foundation of Science and Technology Bureau of Bijie Area(2008-06)~~

摘　　要：利用非紧完备L-凸度量空间中的一个Browder型不动点定理,建立了非紧完备L-凸度量空间中的一般拟平衡问题和拟平衡问题的平衡存在定理.作为应用,获得了非紧完备L-凸度量空间中的约束多目标对策的加权Nash平衡存在定理.In this paper,by using a Browder type fixed point theorem in noncompact complete L-convex metric spaces,the equilibrium existence theorems for general quasiequilibrium problems and the quasiequilibrium problems are established in noncompact complete L-convex metric spaces.As an application,an existence theorem of the weighted Nash equilibrium for constrained multiobjective games is obtained in noncompact complete L-convex metric spaces.

关 键 词：L-凸度量空间 拟平衡问题 不动点 转移紧开(闭) 

分 类 号：O177.91[理学—数学]