| 张石生,朱元国.关于一类随机变分不等式和随机拟变分不等式问题[J].数学研究及应用,1989,9(3):385~393 |
| 关于一类随机变分不等式和随机拟变分不等式问题 |
| On the Problems for a Class of Random Variational inequalities and Random Quasi-Variational Inequalities |
| 投稿时间：1987-09-15 |
| DOI：10.3770/j.issn:1000-341X.1989.03.015 |
| 中文关键词: |
| 英文关键词: |
| 基金项目:国家自然科学基金资助课题. |
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| 摘要点击次数: 2541 |
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| 中文摘要: |
| 本文对单值和多值情形的随机变分不等式和随机拟变分不等式得出可测解的存在性条件。另外还利用KKM-技巧及著名的Ky Fan定理对一类确定型的广义拟变分不等式讨论了解的存在性问题。本文的结果改进和发展了[10,11,12]中的重要结果。 |
| 英文摘要: |
| In this paper the existence conditions of measurable solutions for a class of random variational inequalities and random quasi-va national inequalities are established. Utilizing the KKM technique and the well-known theorem of Ky Fan the existence conditions of solutions for a class of deterministically generalized quasi-variational inequalities are obtained too. The results presented in this paper improve and extend the main results in 〔10, 11,12〕. |
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