Nonlinear variational inequalities on reflexive Banach spaces and topological vector spaces

The purpose of this paper is to introduce and study a class of nonlinear variational inequalities in reflexive Banach spaces and topological vector spaces. Based on the KKM technique, the solvability of this kind of nonlinear variational inequalities is presented. The obtained results extend, improv...

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Bibliographic Details
Published in:International Journal of Mathematics and Mathematical Sciences
Main Authors: Zeqing Liu, Jeong Sheok Ume, Shin Min Kang
Format: Article
Language:English
Published: Wiley 2003-01-01
Online Access:http://dx.doi.org/10.1155/S016117120320627X
Description
Summary:The purpose of this paper is to introduce and study a class of nonlinear variational inequalities in reflexive Banach spaces and topological vector spaces. Based on the KKM technique, the solvability of this kind of nonlinear variational inequalities is presented. The obtained results extend, improve, and unify the results due to Browder, Carbone, Siddiqi, Ansari, Kazmi, Verma, and others.
ISSN:0161-1712
1687-0425