In this paper, we give optimality conditions for the quadratic programming problems with constraints defined by finitely many convex quadratic constraints in Hilbert spaces. As special cases, we obtain optimality conditions for the quadratic programming problems under linear constraints in Hilbert spaces.
This research is funded by Vietnam National Foundation for
Science and Technology Development (NAFOSTED) under grant number 101.01-2018.306. The author was
supported by the Hanoi University of Industry [grant number 37-2020-RD].
The author would like to thank Prof. Nguyen Dong Yen for comments that greatly improved the paper. The author would like to thank Prof. Nguyen Nang Tam for valuable suggestions. The author would like to express his sincere thanks to the anonymous referees and editors for insightful comments and useful suggestions.
"Optimality Conditions for Quadratic Programming Problems in Hilbert Spaces." Taiwanese J. Math. 25 (5) 1073 - 1088, October, 2021. https://doi.org/10.11650/tjm/210303