非紧L-凸空间中新的Ky Fan匹配定理及其对一般拟平衡问题组的应用

A New Ky Fan Matching Theorem in Noncompact L-Convex Spaces with the Application to Systems of General Quasiequilibrium Problems

中文关键词:  L-凸空间  匹配  弱转移紧开(闭)  不动点  一般拟平衡问题组  平衡点.

英文关键词:L-convex space  matching  weakly transfer compactly open (closed)  fixed point  system of general quasiequilibrium problems  equilibrium.

中文摘要:

      非紧L-凸空间中建立了一个新的Ky Fan匹配定理,作为应用,获得了非紧L-凸空间中的不动点定理和一般拟平衡问题组和拟平衡问题组的平衡存在定理.

英文摘要:

      In this paper, a new Ky Fan matching theorem is established in noncompact L-convex spaces. As applications, a fixed point theorem and equilibrium existence theorems for systems of general quasiequilibrium problems and systems of quasiequilibrium problems in noncompact L-convex spaces are obtained.