Journal of Inequalities and Applications 
Volume 5 (2000), Issue 4, Pages 381-395
doi:10.1155/S1025583400000205

Perturbed iterative algorithms with errors for completely generalized strongly nonlinear implicit quasivariational inclusions

S. H. Shim,1 S. M. Kang,1 N. J. Huang,2 and Y. J. Cho1

 1Department of Mathematics, Gyeongsang National University, Chinju 660-701, South Korea
2Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China
Received 4 May 1999; Revised 27 July 1999

Abstract

In this paper, we introduce a new class of completely generalized strongly nonlinear implicit quasivariational inclusions and prove its equivalence with a class of fixed point problems by using some properties of maximal monotone mappings. We also prove the existence of solutions for the completely generalized strongly nonlinear implicit quasivariational inclusions and the convergence of iterative sequences generated by the perturbed algorithms with errors.