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

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.