Journal of Inequalities and Applications
Volume 5 (2000), Issue 5, Pages 515-531
doi:10.1155/S1025583400000308

Random generalized set-valued strongly nonlinear implicit quasi-variational inequalities

Yeol Je Cho,1 Nan Jing Huang,2 and Shin Min Kang3

1Department of Mathematics, College of Education, Gyeongsang National University, Chinju 660-701, Korea
2Department of Mathematics, College of Natural Science, Gyeongsang National University, Chinju 660-701, Korea
3Department of Mathematics, Sichuan University, Sichuan, Chengdu 610064, China

Received 28 July 1999; Revised 3 September 1999

Copyright © 2000 Yeol Je Cho et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The purpose of this paper is to introduce a class of new random generalized set-valued strongly nonlinear implicit quasi-variational inequalities, to construct new random iterative algorithms, and to give some existence theorems of random solutions for this class of random generalized set-valued strongly nonlinear implicit quasi-variational inequalities. We also prove the convergence of random iterative sequences generated by the algorithms. Our results extend and improve the earlier and recent results.