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

Autor: Chadli, Ouayl, Khan, Akhtar A., Mohapatra, Ram N.
Předmět:
Zdroj: Optimization; Dec2024, Vol. 73 Issue 12, p3557-3591, 35p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index