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Open Access

Auxiliary principle and fuzzy variational-like inequalities

Journal of Inequalities and Applications20052005:201653

Received: 4 January 2004

Published: 31 October 2005


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

Department of Mathematics, Yibin University, Sichuan, China
Department of Mathematics, Sichuan University, Sichuan, China
Department of Mathematics, National University of Ireland, Galway, Ireland
Department of Mathematics and Statistics, Dalhousie University, Nova Scotia, Canada
Department of Mathematics, Shanghai Normal University, Shanghai, China


© Chang et al. 2005