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Optimality conditions for $ E $-differentiable vector optimization problems with the multiple interval-valued objective function

In this paper, a nonconvex vector optimization problem with multiple interval-valued objective function and both inequality and equality constraints is considered. The functions constituting it are not necessarily differentiable, but… Click to show full abstract

In this paper, a nonconvex vector optimization problem with multiple interval-valued objective function and both inequality and equality constraints is considered. The functions constituting it are not necessarily differentiable, but they are \begin{document}$ E $\end{document} -differentiable. The so-called \begin{document}$ E $\end{document} -Karush-Kuhn-Tucker necessary optimality conditions are established for the considered \begin{document}$ E $\end{document} -differentiable vector optimization problem with the multiple interval-valued objective function. Also the sufficient optimality conditions are derived for such interval-valued vector optimization problems under appropriate (generalized) \begin{document}$ E $\end{document} -convexity hypotheses.

Keywords: optimization; valued objective; multiple interval; interval valued; vector optimization

Journal Title: Journal of Industrial and Management Optimization
Year Published: 2020

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