Second Order Multiobjective Symmetric Duality in Vector Optimization over Cones Involving Rho (ρ) Invexity

摘要

In this paper, the second-order ρ-cone invex, ρ-cone pseudo-invex, strongly ρ-cone pseudo-invex and ρ-cone quasi-invex functions are introduced and their interrelations are discussed. Further, a pair of Mond-Weir type second-order multiobjective symmetric dual programs over arbitrary cones is formulated. Weak and strong duality theorems are proved for these programs.