Auxiliary principle and fuzzy variational-like inequalities. Issue 5 (31st October 2005)

• Record Type: Journal Article
• Authors: Chang, S. S.; O'Regan, D.; Tan, K. K.; Zeng, L. C.
• Is Part Of: Journal of inequalities and applications. Volume 2005:Issue 5(2005)
• Page Start: 479
• Page End: 494
• Publication Date: 2005-10-31
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/JIA.2005.479
• Languages: English
• ISSNs: 1029-242X

Abstract

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.