Symmetric strong vector quasiequilibrium problems in Hausdorff locally convex spaces

被引：5

作者：

Chen, Bin ^{[3
]}

Huang, Nan-jing ^{[3
]}

Cho, Yeol Je ^{[1
,2
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[2] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

[3] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2011年

基金：

中国国家自然科学基金;

关键词：

symmetric strong vector quasiequilibrium problem; Kakutani-Fan-Glicksberg fixed point theorem; closedness; VARIATIONAL-INEQUALITIES; BANACH-SPACES; EXISTENCE; STABILITY; SEMICONTINUITY;

D O I：

10.1186/1029-242X-2011-56

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, a new symmetric strong vector quasiequilibrium problem in real locally convex Hausdorff topological vector spaces is introduced and studied. An existence theorem of solutions for the symmetric strong vector quasiequilibrium problem by using Kakutani-Fan-Glicksberg fixed point theorem is obtained. Moreover, the closedness of the solution set for this problem is derived. The results presented in this article improve and extend some known results according to Long et al. [Math. Comput. Model. 47, 445-451 (2008)], Somyot and Kanokwan [Fixed Point Theory Appl. doi:10.1155/2011/475121], and Wang et al. [Bull. Malays. Math. Sci. Soc. http://www.emis.de/journals/BMMSS/pdf/acceptedpapers/2009-11-022_R1.pdf].

引用

页码：1 / 13

页数：13

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