Journal of Global Optimization

, Volume 49, Issue 1, pp 23–35 | Cite as

Optimality and duality in vector optimization involving generalized type I functions over cones



In this paper generalized type-I, generalized quasi type-I, generalized pseudo type-I and other related functions over cones are defined for a vector minimization problem. Sufficient optimality conditions are studied for this problem using Clarke’s generalized gradients. A Mond-Weir type dual is formulated and weak and strong duality results are established.


Vector optimization Cones Invexity Type-I functions Optimality Duality 


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© Springer Science+Business Media, LLC. 2010

Authors and Affiliations

  1. 1.Department of Mathematics, Miranda HouseUniversity of DelhiDelhiIndia
  2. 2.Department of Mathematics, Daulat Ram CollegeUniversity of DelhiDelhiIndia
  3. 3.Department of MathematicsUniversity of DelhiDelhiIndia

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