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广义非线性隐似变分不等式
引用本文:高大鹏,何中全,冯世强.广义非线性隐似变分不等式[J].数学研究及应用,2010,30(2):291-296.
作者姓名:高大鹏  何中全  冯世强
作者单位:西华师范大学数学与信息学院, 四川 南充 637002;西华师范大学数学与信息学院, 四川 南充 637002;西华师范大学数学与信息学院, 四川 南充 637002
基金项目:国家自然科学基金(Grant No.60804065), 四川省教育厅重点项目(Grant No.07ZA123), 四川省高等教育工程人才培养和教学改革项目(Grant No.[2005]198).
摘    要:A new class of generalized nonlinear implicit variational-like inequality problems (for short, GNIVLIP) in the setting of locally convex topological vector spaces is introduced and studied in this paper. Under suitable conditions, some existence theorems of solutions for (GNIVLIP) are presented by using some fixed point theorems.

关 键 词:广义非线性  似变分不等式  局部凸拓扑向量空间  变分不等式问题  不动点定理  存在定理
收稿时间:2007/12/23 0:00:00
修稿时间:7/7/2008 12:00:00 AM

Generalized Nonlinear Implicit Variational-Like Inequalities
Da Peng GAO,Zhong Quan HE and Shi Qiang FENG.Generalized Nonlinear Implicit Variational-Like Inequalities[J].Journal of Mathematical Research with Applications,2010,30(2):291-296.
Authors:Da Peng GAO  Zhong Quan HE and Shi Qiang FENG
Institution:School of Mathematics and Information,China West Normal University,Sichuan 637002,P.R.China
Abstract:A new class of generalized nonlinear implicit variational-like inequality problems (for short, GNIVLIP) in the setting of locally convex topological vector spaces is introduced and studied in this paper. Under suitable conditions, some existence theorems of solutions for (GNIVLIP) are presented by using some fixed point theorems.
Keywords:generalized nonlinear implicit variational-like inequality  upper semicontinuity  fixed point theorem  multifunction  
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