Fast and Simple Bregman Projection Methods for Solving Variational Inequalities and Related Problems in Banach Spaces

2020 ◽  
Vol 75 (4) ◽  
Author(s):  
Aviv Gibali ◽  
Lateef Olakunle Jolaoso ◽  
Oluwatosin Temitope Mewomo ◽  
Adeolu Taiwo
Keyword(s):  
Variational Inequalities ◽  
Banach Spaces ◽  
Projection Methods ◽  
Bregman Projection

scholarly journals Projection Methods for a System of Nonlinear Mixed Variational Inequalities in Banach Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Zhong-Bao Wang ◽  
Guo-Ji Tang ◽  
Hong-Ling Zhang
Keyword(s):  
Variational Inequality ◽  
Variational Inequalities ◽  
Banach Spaces ◽  
Hilbert Spaces ◽  
Projection Operator ◽  
Existence And Uniqueness ◽  
Projection Methods ◽  
Uniqueness Of Solution ◽  
Mixed Variational Inequality ◽  
Mixed Variational Inequalities

The existence and uniqueness of solution for a system of nonlinear mixed variational inequality in Banach spaces is given firstly. A Mann iterative sequences with errors for this system of nonlinear mixed variational inequalities in Banach spaces is studied, by using the generalizedf-projection operatorπKf. Our results extend the main results in (Verma (2005); Verma (2001)) from Hilbert spaces to Banach spaces.

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