On generalized variational-like inequalities with generalized monotone multivalued mappings

被引：12
|
作者：
Ceng, L. C. [2 ]
Yao, J. C. [1 ]
机构：
[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
[2] Shanghai Normal Univ, Dept Math, Shanghai, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 03期
基金：
美国国家科学基金会;
关键词：
Generalized variational-like inequality; Generalized monotone multivalued mapping; KKM technique; Hausdorff metric; Reflexive Banach space; EQUILIBRIUM PROBLEMS;
D O I：
10.1016/j.aml.2008.06.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let E be a reflexive Banach space with the dual space E* and K be a nonempty closed convex subset of E. Let us have Psi : K x K x E* -> R and A : E* -> E*. We introduce the class of generalized alpha-monotone multifunctions T : K -> 2(E)* with respect to Psi and A where alpha : E x E -> R. By using the KIN technique and the concept of the Hausdorff metric, we establish some existence results for generalized variational-like inequalities with generalized monotone multivalued mappings in E. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：428 / 434
页数：7
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