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 inOptimization Vol. 73; no. 12; pp. 3557 - 3591
Main Authors Chadli, Ouayl, Khan, Akhtar A., Mohapatra, Ram N.
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 01.12.2024
Taylor & Francis LLC
Subjects
Coercivity
Inequalities
Lagrangian methods
Optimal control
pseudo-monotone
quasi-hemi variational inequalities
Online AccessGet full text
ISSN0233-1934
1029-4945
DOI10.1080/02331934.2023.2270597

Cover

More Information
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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2023.2270597