Journal of Global Optimization

, Volume 55, Issue 1, pp 125–140 | Cite as

Second-order multiobjective symmetric duality involving cone-bonvex functions

Article

Abstract

In this paper, a new pair of second-order multiobjective symmetric dual programs over arbitrary cones is formulated and appropriate duality theorems are then established under K-η-bonvexity assumptions. We identify a function lying exclusively in the class of K-η-bonvex and not in class of invex function already existing in literature. Self duality is also obtained by assuming the functions involved to be skew-symmetric.

Keywords

Multiobjective programming Symmetric duality K-η-bonvexity Duality theorems Efficient solutions 

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Copyright information

© Springer Science+Business Media, LLC. 2012

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of Technology PatnaPatnaIndia
  2. 2.School of Mathematics and Computer ApplicationsThapar UniversityPatialaIndia

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