Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 124953, 16 pages
doi:10.1155/2009/124953
Research Article

Generalized Strongly Nonlinear Implicit Quasivariational Inequalities

Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

Received 11 February 2009; Accepted 17 June 2009

Academic Editor: Ram U. Verma

Copyright © 2009   Salahuddin and M. K. Ahmad. 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

We prove an existence theorem for solution of generalized strongly nonlinear implicit quasivariational inequality problems and convergence of iterative sequences with errors, involving Lipschitz continuous, generalized pseudocontractive and generalized g-pseudocontractive mappings in Hilbert spaces.