scholarly journals Error Bounds of Regularized Gap Functions for Polynomial Variational Inequalities

2021 ◽  
Author(s):  
Bui Van Dinh ◽  
Tien-Son Pham
Keyword(s):  
Variational Inequalities ◽  
Error Bounds ◽  
Gap Functions ◽  
Regularized Gap Functions

scholarly journals Error bounds of regularized gap functions for nonmonotone Ky Fan inequalities

2020 ◽  
Vol 16 (3) ◽  
pp. 1261-1272
Author(s):  
Minghua Li ◽  
◽  
Chunrong Chen ◽  
Shengjie Li ◽  
Keyword(s):  
Error Bounds ◽  
Gap Functions ◽  
Ky Fan Inequalities ◽  
Regularized Gap Functions ◽  
Ky Fan

scholarly journals Continuity Results and Error Bounds on Pseudomonotone Vector Variational Inequalities via Scalarization

2016 ◽  
Vol 2016 ◽  
pp. 1-11
Author(s):  
Xin Zuo ◽  
Hong-Zhi Wei ◽  
Chun-Rong Chen
Keyword(s):  
Variational Inequality ◽  
Error Bounds ◽  
Vector Variational Inequality ◽  
Gap Functions ◽  
Strong Pseudomonotonicity ◽  
Solution Mapping ◽  
Constraint Set ◽  
Regularized Gap Functions ◽  
Lower And Upper Semicontinuities ◽  
Weak Vector

Continuity (both lower and upper semicontinuities) results of the Pareto/efficient solution mapping for a parametric vector variational inequality with a polyhedral constraint set are established via scalarization approaches, within the framework of strict pseudomonotonicity assumptions. As a direct application, the continuity of the solution mapping to a parametric weak Minty vector variational inequality is also discussed. Furthermore, error bounds for the weak vector variational inequality in terms of two known regularized gap functions are also obtained, under strong pseudomonotonicity assumptions.

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