scholarly journals Self-adaptive iterative method for solving boundedly Lipschitz continuous and strongly monotone variational inequalities

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Songnian He ◽  
Lili Liu ◽  
Aviv Gibali
Keyword(s):  
Iterative Method ◽  
Variational Inequalities ◽  
Monotone Variational Inequalities ◽  
Lipschitz Continuous ◽  
Strongly Monotone ◽  
Self Adaptive

scholarly journals A Self-Adaptive Method for Solving a System of Nonlinear Variational Inequalities

2007 ◽  
Vol 2007 ◽  
pp. 1-7
Author(s):  
Chaofeng Shi
Keyword(s):  
Iterative Method ◽  
Variational Inequalities ◽  
Adaptive Method ◽  
New Method ◽  
Computational Results ◽  
Computation Cost ◽  
Self Adaptive

The system of nonlinear variational inequalities (SNVI) is a useful generalization of variational inequalities. Verma (2001) suggested and analyzed an iterative method for solving SNVI. In this paper, we present a new self-adaptive method, whose computation cost is less than that of Verma's method. The convergence of the new method is proved under the same assumptions as Verma's method. Some preliminary computational results are given to illustrate the efficiency of the proposed method.

A new self-adaptive iterative method for general mixed quasi variational inequalities

2008 ◽  
Vol 28 (3) ◽  
pp. 685-696
Author(s):  
Abdellah Bnouhachem ◽  
Mohamed Khalfaoui ◽  
Hafida Benazza
Keyword(s):  
Iterative Method ◽  
Variational Inequalities ◽  
Self Adaptive
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