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

Autor: Antczak, Tadeusz, Abdulaleem, Najeeb
Předmět:
Zdroj: Journal of Industrial & Management Optimization; Nov2020, Vol. 16 Issue 6, p2971-2989, 19p
Abstrakt: 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 E-differentiable. The so-called E-Karush-Kuhn-Tucker necessary optimality conditions are established for the considered E-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) E-convexity hypotheses. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index