학술논문

Duality results for interval-valued semiinfinite optimization problems with equilibrium constraints using convexificators.
Document Type
Article
Source
Journal of Inequalities & Applications. 10/5/2022, Vol. 2022 Issue 1, p1-18. 18p.
Subject
*EQUILIBRIUM
Language
ISSN
1025-5834
Abstract
This paper deals with the study of interval-valued semiinfinite optimization problems with equilibrium constraints (ISOPEC) using convexificators. First, we formulate Wolfe-type dual problem for (ISOPEC) and establish duality results between the (ISOPEC) and the corresponding Wolfe-type dual under the assumption of ∂ ∗ -convexity. Second, we formulate Mond–Weir-type dual problem and propose duality results between the (ISOPEC) and the corresponding Mond–Weir-type dual under the assumption of ∂ ∗ -convexity, ∂ ∗ -pseudoconvexity, and ∂ ∗ -quasiconvexity. [ABSTRACT FROM AUTHOR]