scholarly journals Convergence analysis of projection methods for a new system of general nonconvex variational inequalities

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
Dao-Jun Wen ◽  
Xian-Jun Long ◽  
Qian-Fen Gong
Keyword(s):  
Variational Inequalities ◽  
Convergence Analysis ◽  
Projection Methods ◽  
New System

scholarly journals Projection Methods and a New System of Extended General Regularized Nonconvex Set-Valued Variational Inequalities

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
Javad Balooee ◽  
Yeol Je Cho ◽  
Mee Kwang Kang
Keyword(s):  
Fixed Point ◽  
Variational Inequalities ◽  
Iterative Algorithm ◽  
Projection Methods ◽  
Fixed Point Problems ◽  
Equivalent Formulation ◽  
New System

A new system of extended general nonlinear regularized nonconvex set-valued variational inequalities is introduced, and the equivalence between the extended general nonlinear regularized nonconvex set-valued variational inequalities and the fixed point problems is verified. Then, by this equivalent formulation, a new perturbed projection iterative algorithm with mixed errors for finding a solution of the aforementioned system is suggested and analyzed. Also the convergence of the suggested iterative algorithm under some suitable conditions is proved.

scholarly journals Inertial projection methods for solving general quasi-variational inequalities

2021 ◽  
Vol 6 (2) ◽  
pp. 1075-1086
Author(s):  
Saudia Jabeen ◽  
◽  
Bandar B. Mohsen ◽  
Muhammad Aslam Noor ◽  
Khalida Inayat Noor ◽  
...  
Keyword(s):  
Variational Inequalities ◽  
Projection Methods
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