Second order duality in vector optimization over cones

Surjeet Kaur Suneja, Sunila Sharma, Vani Vani · Journal of applied mathematics & informatics · 2008

In this paper second order cone convex, second order cone pseudoconvex, second order strongly cone pseudoconvex and second order cone quasiconvex functions are introduced and their interrelations are discussed. Further a MondWeir Type second order dual is associated with the Vector Minimization Problem and the weak and strong duality theorems are established under these new generalized convexity assumptions.

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