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

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〕.