Nondifferentiable Vector Optimization over Cones using Generalized E-convexity.
| Autor: | Kapoor, Malti |
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| Zdroj: | Statistics, Optimization & Information Computing; Sep2024, Vol. 12 Issue 5, p1352-1363, 12p |
| Abstrakt: | This paper discusses a novel approach to solve a nonconvex nondifferentiable vector optimization problem over cones making use of an operator E: Rn → Rn which renders differentiability to the considered problem. New classes of generalized convex functions are introduced and employed to obtain necessary and sufficient KKT-type E-optimality conditions. Further, a unified E-dual is associated with the given problem encapsulating both the Mond-Weir type and the Wolfe type duals in the same apparatus and duality results are proved. [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
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