Open Access

Projection iterative approximations for a new class of general random implicit quasi-variational inequalities

Journal of Inequalities and Applications20062006:81261

https://doi.org/10.1155/JIA/2006/81261

Received: 9 November 2005

Accepted: 21 January 2006

Published: 31 May 2006

Abstract

We introduce a class of projection-contraction methods for solving a class of general random implicit quasi-variational inequalities with random multivalued mappings in Hilbert spaces, construct some random iterative algorithms, and give some existence theorems of random solutions for this class of general random implicit quasi-variational inequalities. We also discuss the convergence and stability of a new perturbed Ishikawa iterative algorithm for solving a class of generalized random nonlinear implicit quasi-variational inequalities involving random single-valued mappings. The results presented in this paper improve and extend the earlier and recent results.

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Authors’ Affiliations

(1)
Department of Mathematics, Sichuan University of Science and Engineering

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Copyright

© Lan 2006

This article is published under license to BioMed Central Ltd. 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.