Open Access

Generalized nonlinear implicit quasivariational inclusions

  • Ya-Ping Fang1Email author,
  • Nan-Jing Huang1,
  • Jung Im Kang2 and
  • Yeol Je Cho2
Journal of Inequalities and Applications20052005:915890

DOI: 10.1155/JIA.2005.261

Received: 10 August 2003

Published: 11 July 2005

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.

Authors’ Affiliations

(1)
Department of Mathematics, Sichuan University
(2)
Department of Mathematics Education and the Research Institute of Natural Sciences, Gyeongsang National University

Copyright

© Fang et al. 2005