Existence theorems of an extension for generalized strong vector quasi-equilibrium problems

Fixexd point theory and applications

Kanokwan Sitthithakerngkiet¹  Somyot Plubtieng³ 

[1] Department of Mathematics, Faculty of Applied Science, King Mongkut’Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand;s University of Technology North Bangkok, Bangkok, Thailand

关键词: quasi-equilibrium problems;    variational inequality;    monotonicity;    Brouwer fixed point theorem;   

DOI  :  10.1186/1687-1812-2013-342

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study generalized strong vector quasi-equilibrium problems in topological vector spaces. Using the generalization of Fan-Browder fixed point theorem, we provide existence theorems for an extension of generalized strong vector quasi-equilibrium problems with and without monotonicity. The results in this paper generalize, extend and unify some well-known existence theorems in literature. MSC:49J30, 49J40, 47H10, 47H17.

【 授权许可】

CC BY