Title: Duality for second-order symmetric multiobjective programming with cone constraints

Authors: S.K. Gupta; D. Dangar

Addresses: Department of Mathematics, Indian Institute of Technology Patna, Patna 800 013, Bihar, India. ' Department of Mathematics, Indian Institute of Technology Patna, Patna 800 013, Bihar, India

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.

DOI: 10.1504/IJMOR.2012.046374

International Journal of Mathematics in Operational Research, 2012 Vol.4 No.2, pp.128 - 151

Published online: 23 Dec 2014 *

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