Second-order optimality and duality in vector optimization over cones
DOI:
https://doi.org/10.19139/soic.v4i2.171Keywords:
vector optimization over cones, second-order cone-convexity, second-order optimality conditions, second-order duality.Abstract
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.References
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