On solvability of general nonlinear variational-like inequalities in reflexive Banach spaces

We introduce and study a new class of general nonlinear variational-like inequalities in reflexive Banach spaces. By applying a minimax inequality, we establish two existence and uniqueness theorems of solutions for the general nonlinear variational-like inequality.

Bibliographic Details
Main Authors: Zeqing Liu, Juhe Sun, Soo Hak Shim, Shin Min Kang
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.1415
Description
Summary:We introduce and study a new class of general nonlinear variational-like inequalities in reflexive Banach spaces. By applying a minimax inequality, we establish two existence and uniqueness theorems of solutions for the general nonlinear variational-like inequality.
ISSN:0161-1712
1687-0425