New kinds of generalized variational-like inequality problems in topological vector spaces

被引：4

作者：

Farajzadeh, A. P. ^{[2
]}

Amini-Harandi, A. ^{[3
]}

O'Regan, D. ^{[4
]}

Agarwal, R. P. ^{[1
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] Razi Univ, Dept Math, Kermanshah 67149, Iran

[3] Univ Shahrekord, Dept Math, Shahrekord 8818634141, Iran

[4] Natl Univ Ireland, Dept Math, Galway, Ireland

来源：

APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 07期

关键词：

Topological vector space; KKM mapping; Upper semicontinuous mapping;

D O I：

10.1016/j.aml.2008.12.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we consider a generalized nonlinear variational-like inequality problem, in topological vector spaces, and, by using the KKM technique, we prove an existence theorem. Our result extends a theorem of Ahmad and Irfan [R. Ahmad, S.S. Irfan, On the generalized nonlinear variational-like inequality problems, Appl. Math. Lett. 19 (2006) 2194-297]. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1126 / 1129

页数：4

共 46 条

[1] ON GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES WITHOUT GENERALIZED MONOTONICITY IN TOPOLOGICAL VECTOR SPACES
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[2] Existence of Solutions to Generalized Vector Variational-Like Inequalities
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[8] Stability analysis for parametric generalized vector quasi-variational-like inequality problems
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[9] Generalized vector quasi-variational-like inequality problem: a new approach
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[10] Generalized vector quasi-variational-like inequality problem: a new approach
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