Duality for second-order symmetric multiobjective programming with cone constraints

S.K. Gupta and D. Dangar

International Journal of Mathematics in Operational Research, 2012, vol. 4, issue 2, 128-151

Abstract: In this paper, a new pair of Mond-Weir type multiobjective second-order symmetric dual models with cone constraints is formulated in which the objective function is optimised with respect to an arbitrary closed convex cone. Usual duality relations are further established under K-η-bonvexity/second-order symmetric dual K-H-convexity assumptions. A nontrivial example has also been illustrated to justify the weak duality theorems. Several results including many recent works are obtained as special cases.

Keywords: symmetric duality; K-eta-bonvexity; second-order K-H-convexity; multiobjective programming; cones; cone constraints. (search for similar items in EconPapers)
Date: 2012
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