Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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SECOND ORDER DUALITY IN VECTOR OPTIMIZATION OVER CONES

  • Suneja, S.K. (Department of Mathematics, Miranda House, University of Delhi) ;
  • Sharma, Sunila (Department of Mathematics, Miranda House, University of Delhi) ;
  • Vani, Vani (Department of Mathematics, Satyawati College, University of Delhi)
  • Published : 2008.01.30
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Abstract

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.

Keywords