triple hierarchical variational inequalities
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scholarly journals Composite steepest-descent method for the triple hierarchical variational inequalities

Filomat ◽  
2019 ◽  
Vol 33 (14) ◽  
pp. 4403-4419
Author(s):  
Lu-Chuan Ceng ◽  
Jen-Chih Yao ◽  
Yonghong Yao
Keyword(s):  
Variational Inequality Problem ◽  
Real Hilbert Space ◽  
Descent Method ◽  
Steepest Descent ◽  
Steepest Descent Method ◽  
Mild Conditions ◽  
Triple Hierarchical Variational Inequalities ◽  
Steepest Descent Algorithm ◽  
Triple Hierarchical Variational Inequality ◽  
Hierarchical Variational Inequalities

In this paper, we introduce and analyze a composite steepest-descent algorithm for solving the triple hierarchical variational inequality problem in a real Hilbert space. Under mild conditions, the strong convergence of the iteration sequences generated by the algorithm is established.

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