Generalized Quasi-Variational Inequalities for Pseudo-Monotone Type III and Strongly Pseudo-Monotone Type III Operators on Non-Compact Sets

Mohammad S. R. Chowdhury; Yeol Je Cho

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Generalized Quasi-Variational Inequalities for Pseudo-Monotone Type III and Strongly Pseudo-Monotone Type III Operators on Non-Compact Sets

机译：非紧集上的伪单调型III型算子和强伪单调型III型算子的广义拟变分不等式

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In this paper, the authors prove some existence results of solutions for a new class of generalized quasi-variational inequalities (GQVI) for pseudo-monotone type III operators and strongly pseudo-monotone type III operators defined on noncompact sets in locally convex Hausdorff topological vector spaces. In obtaining these results on GQVI for pseudo-monotone type III operators, we shall use Chowdhury and Tan's generalized version [1] of Ky Fan's minimax inequality [2] as the main tool.

机译：在本文中，作者证明了局部凸Hausdorff拓扑向量中非紧集上定义的伪单调III型算子和强伪单调III型算子的一类新的广义拟变分不等式（GQVI）解的存在性。空格。在使用伪单调III型算子在GQVI上获得这些结果时，我们将使用Chowdhury和Tan的Ky Fan的minimax不等式[2]的广义版本[1]作为主要工具。

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《American Journal of Applied Mathematics》 |2015年第1期|共8页
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Mohammad S. R. Chowdhury; Yeol Je Cho;
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1. Generalized quasi-variational inequalities on non-compact sets with pseudo-monotone operators [J] . El Arni A. Journal of Mathematical Analysis and Applications . 2000,第2期

机译：具有紧单调算子的非紧集上的广义拟变分不等式
2. Existence theorems of generalized quasi-variational-like inequalities for η - h -pseudo-monotone type I operators on non-compact sets [J] . Mohammad Showkat Rahim Chowdhury, Yeol Je Cho Journal of inequalities and applications . 2012,第1期

机译：非紧凑型η-hpseudo-monotone I型运算符对η-hpseudo-monotone I型运算符的存在性定理
3. Applications of pseudo-monotone operators with some kind of upper semicontinuity in generalized quasi-variational inequalitles on non-compact sets [J] . Chowdhury MSR., Tan KK. Proceedings of the American Mathematical Society . 1998,第10期

机译：具有某种上半连续性的伪单调算子在非紧集上的广义拟变分不等式中的应用
4. A Regularization Approach for Variational Inequalities with Pseudo-Monotone Operators [C] . Vyacheslav Kalashnikov, Akhtar Ali Khan Symposium on Operations Research . 2000

机译：具有伪单调运算符的变分不等式的正则化方法
5. Some results on quasi-monotone and pseudo-monotone operators and applications. [D] . Chowdhury, Mohammad Showkat Rahim. 1997

机译：关于拟单调和伪单调算子及其应用的一些结果。
6. Pseudo-monotone operators and nonlinear elliptic boundary value problems on unbounded domains [O] . Felix E. Browder 1977

机译：无界域上的伪单调算子和非线性椭圆边值问题
7. Generalized Quasi-variational Inequalities on Non-compact Sets with Pseudo-monotone Operators [O] . El Arni Abdelkhalek 2000

机译：具有伪单调算子的非紧集上的广义拟变分不等式

Generalized Quasi-Variational Inequalities for Pseudo-Monotone Type III and Strongly Pseudo-Monotone Type III Operators on Non-Compact Sets

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