An efficient projection-type method for monotone variational inequalities in Hilbert spaces

2019 ◽  
Vol 84 (1) ◽  
pp. 365-388 ◽  
Author(s):  
Yekini Shehu ◽  
Xiao-Huan Li ◽  
Qiao-Li Dong
Keyword(s):  
Variational Inequalities ◽  
Hilbert Spaces ◽  
Monotone Variational Inequalities ◽  
Type Method

scholarly journals On Mann’s Type Method for Nonexpansive and Strongly Quasinonexpansive Mappings in Hilbert Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Nawab Hussain ◽  
Giuseppe Marino ◽  
Badriah A. S. Alamri
Keyword(s):  
Variational Inequalities ◽  
Nonexpansive Mapping ◽  
Fixed Points ◽  
Hilbert Spaces ◽  
Strong Solutions ◽  
Type Method ◽  
Quasinonexpansive Mapping

In the setting of Hilbert spaces, we study Mann’s type method to approximate strong solutions of variational inequalities. We show that these solutions are fixed points of a nonexpansive mapping and/or a strongly quasinonexpansive mapping, depending on the coefficients involved in the algorithm.

scholarly journals Variant extragradient-type method for monotone variational inequalities

2013 ◽  
Vol 2013 (1) ◽  
pp. 185 ◽  
Author(s):  
Yonghong Yao ◽  
Mihai Postolache ◽  
Yeong-Cheng Liou
Keyword(s):  
Variational Inequalities ◽  
Monotone Variational Inequalities ◽  
Type Method
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