Abstract
In this article, the second-order optimality conditions for nonlinear programming with multiple interval-valued objective functions (in brief, NPMIOF) are studied. In the first part, the second- and first-order necessary optimality conditions for some types of efficient solutions of NPMIOF are established under of Abadie second- and first-order constraint qualifications. In the next part, we investigate both primal and dual second-order sufficient optimality conditions. Our second-order necessary conditions enhance the previous results. The second-order sufficient optimality conditions are new.
Acknowledgements
The author would like to thank the editors for the help in the processing of the article. The author is very grateful to the anonymous referee for the valuable remarks, which helped to improve the paper.
Disclosure statement
No potential conflict of interest was reported by the author(s).