The Equilibrium Existence Theorem for Systems of General Quasiequilibrium Problems in GFC-spaces

被引：1
|
作者：
Wen, Kai Ting [1 ]
Li, He Rui [1 ]
机构：
[1] Bijie Univ, Sch Civil Engn & Architecture, Bijie 551700, Guizhou, Peoples R China
来源：
MECHATRONICS ENGINEERING, COMPUTING AND INFORMATION TECHNOLOGY | 2014年 / 556-562卷
关键词：
GFC-space; Matching; Maximal element; Equilibrium; System of general quasi-equilibrium problems; KKM-TYPE THEOREMS; FIXED-POINT THEOREMS; CONVEX SPACES;
D O I：
10.4028/www.scientific.net/AMM.556-562.4128
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, the GFC-KKM mapping is introduced and a GFC-KKM theorem is established in GFC-spaces. As applications, a matching theorem and a maximal element theorem are obtained. Our results unify, improve and generalize some known results in recent reference. Finally, an equilibrium existence theorem for systems of general quasiequilibrium problems is yielded in GFC-spaces.
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页码：4128 / 4132
页数：5
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