Journal of Inequalities and Applications 
Volume 2005 (2005), Issue 3, Pages 261-275
doi:10.1155/JIA.2005.261

Generalized nonlinear implicit quasivariational inclusions

Ya-Ping Fang,1 Nan-Jing Huang,1 Jung Im Kang,2 and Yeol Je Cho2

 1Department of Mathematics, Sichuan University, Sichuan, Chengdu 610064, China
2Department of Mathematics Education and the Research Institute of Natural Sciences, Gyeongsang National University, Chinju 660-701, Korea
Received 10 August 2003

Abstract

We introduce and study a new class of generalized nonlinear implicit quasivariational inclusions involving relaxed Lipschitzian mappings. We prove the existence of solution for the generalized nonlinear implicit quasivariational inclusions and construct some new stable perturbed iterative algorithms with errors. We also give an application to a class of generalized nonlinear implicit variational inequalities.