New simple smooth merit function for box constrained variational inequalities and damped Newton type method

2005 ◽  
Vol 26 (8) ◽  
pp. 1083-1092 ◽  
Author(s):  
Ulji ◽  
Chen Guo-qing
Keyword(s):  
Variational Inequalities ◽  
Merit Function ◽  
Type Method

scholarly journals ρ-PROJECTIVE AND σ-INVOLUNTARY VARIATIONAL INEQUALITIES AND IMPROVED PROJECTION METHOD FOR PROJECTED DYNAMICAL SYSTEM

2021 ◽  
Vol 9 (2) ◽  
pp. 18-24
Author(s):  
Siddharth Mitra ◽  
Prasanta Kumar Das
Keyword(s):  
Dynamical System ◽  
Variational Inequality ◽  
Variational Inequalities ◽  
Gradient Method ◽  
Initial Value Problem ◽  
Equivalence Theorem ◽  
Variational Inequality Problems ◽  
Initial Value ◽  
Type Method ◽  
The Given

Purpose of study: To introduce the concept of projective and involuntary variational inequality problems of order  and  respectively. To study the equivalence theorem between these problems. To study the projected dynamical system using self involutory variational inequality problems. Methodology: Improved extra gradient method is used. Main Finding: Using a self-solvable improved extra gradient method we solve the variational inequalities. The algorithm of the projected dynamical system is provided using the RK-4 method whose equilibrium point solves the involutory variational inequality problems. Application of this study: Runge-Kutta type method of order 2 and 4 is used for the initial value problem with the given projected dynamical system with the help of self involutory variational inequality problems. The originality of this study:  The concept of self involutory variational inequality problems, projective and involuntary variational inequality problems of order  and  respectively are newly defined.

A new projection-type method for solving multi-valued mixed variational inequalities without monotonicity

2018 ◽  
Vol 99 (9) ◽  
pp. 1453-1466 ◽  
Author(s):  
Zhong-bao Wang ◽  
Zhang-you Chen ◽  
Yi-bin Xiao ◽  
Cong Zhang
Keyword(s):  
Variational Inequalities ◽  
Type Method ◽  
Mixed Variational Inequalities
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