Lagrangian methods for optimal control problems governed by multivalued quasi-hemivariational inequalities

The primary objective of this paper is to develop a general augmented Lagrangian approach for optimal control problems governed by multivalued quasi-hemivariational inequalities. By imposing general coercivity and monotonicity-type conditions, we establish multiple existence results for the optimal...

Full description

Saved in:
Bibliographic Details
Published in:Optimization 2024-12, Vol.73 (12), p.3557-3591
Main Authors: Chadli, Ouayl, Khan, Akhtar A., Mohapatra, Ram N.
Format: Article
Language:English
Subjects:
Coercivity
Inequalities
Lagrangian methods
Optimal control
pseudo-monotone
quasi-hemi variational inequalities
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The primary objective of this paper is to develop a general augmented Lagrangian approach for optimal control problems governed by multivalued quasi-hemivariational inequalities. By imposing general coercivity and monotonicity-type conditions, we establish multiple existence results for the optimal control problems. Furthermore, we establish a comprehensive characterization of the zero duality gap property for the primal-dual problems, utilizing the concept of lower semicontinuity of new perturbation functions. Our results represent a significant advancement over recent literature on the subject.
ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2023.2270597