Optimality and duality in nondifferentiable multiobjective mathematical programming involving higher order (F,α,ρ,d)-type I functions

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Abstract

In this paper, a nondifferentiable multiobjective programming problem is considered where every component of objective and constraint functions contain a term involving the support function of a compact convex set. A new class of higher order (F,α,ρ,d)-type I function is introduced. Necessary optimality conditions and the duality theorems for Wolfe and unified higher order dual problems are established. Several known results can be deduced as special cases.

Keywords

Multiobjective programming (F,α,ρ,d)-type I function Efficiency Higher order duality Support function 

Mathematics Subject Classification (2000)

90C29 90C30 90C46 
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Copyright information

© KSCAM and Springer-Verlag 2008

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of TechnologyRoorkeeIndia
  2. 2.Department of Applies Sciences and HumanitiesInstitute of Technology and ManagementGurgaonIndia

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