Second-order multiobjective symmetric duality involving cone-bonvex functions

S. Gupta () and N. Kailey ()

Journal of Global Optimization, 2013, vol. 55, issue 1, 125-140

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. Copyright Springer Science+Business Media, LLC. 2013

Keywords: Multiobjective programming; Symmetric duality; K-η-bonvexity; Duality theorems; Efficient solutions (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10898-012-9878-3

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