Levitin–Polyak well-posedness of variational inequality problems with functional constraints

2008 ◽  
Vol 44 (2) ◽  
pp. 159-174 ◽  
Author(s):  
X. X. Huang ◽  
X. Q. Yang ◽  
D. L. Zhu
Keyword(s):  
Variational Inequality ◽  
Variational Inequality Problems ◽  
Well Posedness ◽  
Functional Constraints

scholarly journals On well-posedness associated with a class of controlled variational inequalities

2021 ◽  
Author(s):  
Savin Treanta ◽  
Shalini Jha
Keyword(s):  
Variational Inequality ◽  
Variational Inequalities ◽  
Integral Functional ◽  
Solution Set ◽  
Variational Inequality Problems ◽  
Well Posedness ◽  
New Concepts ◽  
Curvilinear Integral ◽  
Theoretical Developments

In this paper, by using the new concepts of monotonicity, pseudomonotonicity and hemicontinuity associated with the considered curvilinear integral functional, we investigate the well-posedness and well-posedness in generalized sense for a class of controlled variational inequality problems. More precisely, by introducing the approximating solution set of the considered class of controlled variational inequality problems, we formulate and prove some characterization results on well-posedness and well-posedness in generalized sense. Also, the theoretical developments presented in the paper are accompanied by illustrative examples.

Sign in / Sign up

Export Citation Format

Share Document