四川师范大学学报(自然科学版)2011,Vol.34Issue(3):313-317,5.DOI:10.3969/j.issn.1001-8395.2011.03.007
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
General Quasiequilibrium Problems in L-Convex Metric Spaces with Application to Constrained Multiobjective Games
摘要
Abstract
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)Key words
L-convex metric space/ quasiequilibrium problem/ fixed point/ transfer compactly open(closed)分类
数理科学引用本文复制引用
文开庭..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[J].四川师范大学学报(自然科学版),2011,34(3):313-317,5.基金项目
This work was supported by the Natural Scientific Research Foundation of Guizhou Provincial Education Department (2008072) and the Natural Science Foundation of Science and Technology Bureau of Bijie Area(2008-06) 贵州省教育厅自然科学基金(2008072)和贵州省毕节地区科技局自然科学基金(2008-06)资助项目 (2008072)