On Nonsmooth Semi-infinite Programming Problems
On Nonsmooth Semi-infinite Programming Problems
Author(s): N. Kanzi, A. Kabgani, G. Caristi & D. Barilla
Year: 2025
Title: On Nonsmooth Semi-infinite Programming Problems
Chapter in: Convex Optimization—Theory, Algorithms and Applications
Volume:
Pages:
Doi: https://doi.org/10.1007/978-981-97-8907-8_13
Cite this article
Kanzi, N., Kabgani, A., Caristi, G., Barilla, D. (2025). On Nonsmooth Semi-infinite Programming Problems. In: Upadhyay, B.B., Mishra, S.K., Maréchal, P. (eds) Convex Optimization—Theory, Algorithms and Applications. RTCOTAA 2020. Springer Proceedings in Mathematics & Statistics, vol 476. Springer, Singapore. https://doi.org/10.1007/978-981-97-8907-8_13
Abstract
The main aim of this paper is to provide a brief review of the state-of-the-art studies in nonsmooth semi-infinite programming problems. In particular, we give an overview of the different nonsmooth semi-infinite optimization problems and their related applications. Some necessary and sufficient optimality conditions for a nonsmooth semi-infinite multiobjective programming problem when the objective and constraint functions are locally Lipschitz are stated. We also focus on such optimality conditions without the locally Lipschitz assumption.