On the Problems for a Class of Random Variational inequalities and Random Quasi-Variational Inequalities

Abstract:

      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〕.