Second-order optimality and duality in vector optimization over cones
Surjeet Kaur Suneja, Sunila Sharma, Malti Kapoor · Statistics Optimization & Information Computing · 2016
In this paper, we introduce the notion of a second-order cone- convex function involving second-order directional derivative. Also, second-order cone-pseudoconvex, second-order cone-quasiconvex and other related functions are defined. Second-order optimality and Mond-Weir type duality results are derived for a vector optimization problem over conesnusing the introduced classes of functions.