Auxiliary principle and fuzzy variational-like inequalities | Zendy

S.S. Chang | Zendy; Donal O’Regan | Zendy; KK Tan | Zendy; LC Zeng | Zendy

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Auxiliary principle and fuzzy variational-like inequalities

Author(s) -

S.S. Chang,

Donal O’Regan,

KK Tan,

LC Zeng

Publication year - 2005

Publication title -

journal of inequalities and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.735

H-Index - 50

eISSN - 1029-242X

pISSN - 1025-5834

DOI - 10.1155/jia.2005.479

Subject(s) - mathematics , variational inequality , hilbert space , fuzzy logic , iterative method , variational principle , algebra over a field , mathematical optimization , pure mathematics , mathematical analysis , computer science , artificial intelligence

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 gen- eral auxiliary principle technique, Ky Fan's KKM theorem, Nadler's fixed point theorem, and some new analytic techniques, some existence theorems and some iterative approxi- mation 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.

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