The Galerkin Method and Regularization for Variational Inequalities in Reflexive Banach Spaces

2021 ◽  
Author(s):  
Bui Trong Kien ◽  
Xiaolong Qin ◽  
Ching-Feng Wen ◽  
Jen-Chih Yao
Keyword(s):  
Variational Inequalities ◽  
Galerkin Method ◽  
Banach Spaces ◽  
Reflexive Banach Spaces ◽  
The Galerkin Method

scholarly journals Nonlinear variational inequalities on reflexive Banach spaces and topological vector spaces

2003 ◽  
Vol 2003 (4) ◽  
pp. 199-207 ◽  
Author(s):  
Zeqing Liu ◽  
Jeong Sheok Ume ◽  
Shin Min Kang
Keyword(s):  
Variational Inequalities ◽  
Banach Spaces ◽  
Vector Spaces ◽  
Reflexive Banach Spaces ◽  
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, improve, and unify the results due to Browder, Carbone, Siddiqi, Ansari, Kazmi, Verma, and others.

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