An implicit iterative scheme for monotone variational inequalities and fixed point problems

2008 ◽  
Vol 69 (8) ◽  
pp. 2445-2457 ◽  
Author(s):  
L.C. Ceng ◽  
P. Cubiotti ◽  
J.C. Yao
Keyword(s):  
Fixed Point ◽  
Variational Inequalities ◽  
Iterative Scheme ◽  
Fixed Point Problems ◽  
Monotone Variational Inequalities ◽  
Implicit Iterative Scheme

scholarly journals Split Systems of Nonconvex Variational Inequalities and Fixed Point Problems on Uniformly Prox-Regular Sets

Symmetry ◽  
2019 ◽  
Vol 11 (10) ◽  
pp. 1279
Author(s):  
Jinzuo Chen ◽  
Ariana Pitea ◽  
Li-Jun Zhu
Keyword(s):  
Fixed Point ◽  
Variational Inequalities ◽  
Projection Method ◽  
Iterative Scheme ◽  
Fixed Point Problems ◽  
Split Systems ◽  
Regular Sets

In this paper, we studied variational inequalities and fixed point problems in nonconvex cases. By the projection method over prox-regularity sets, the convergence of the suggested iterative scheme was established under some mild rules.

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