Open Access

Auxiliary principle and fuzzy variational-like inequalities

Journal of Inequalities and Applications20052005:201653

https://doi.org/10.1155/JIA.2005.479

Received: 4 January 2004

Published: 31 October 2005

Abstract

The purpose of this paper is to introduce the concept of fuzzy variational-like inequalities and to study the existence problem and the iterative approximation problem for solutions of certain kinds of fuzzy variational-like inequalities in Hilbert spaces. By using the general auxiliary principle technique, Ky Fan's KKM theorem, Nadler's fixed point theorem, and some new analytic techniques, some existence theorems and some iterative approximation schemes for solving this kind of fuzzy variational-like inequalities are established. The results presented in this paper are new and they generalize, improve, and unify a number of recent results.

Authors’ Affiliations

(1)
Department of Mathematics, Yibin University
(2)
Department of Mathematics, Sichuan University
(3)
Department of Mathematics, National University of Ireland
(4)
Department of Mathematics and Statistics, Dalhousie University
(5)
Department of Mathematics, Shanghai Normal University

Copyright

© Chang et al. 2005