Title: Second-order symmetric duality in non-differentiable multiobjective programming over cones

Authors: T.R. Gulati; Geeta Sachdev; Khushboo Verma

Addresses: Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247 667, India ' Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247 667, India ' Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247 667, India

Abstract: In this paper, a pair of Wolfe type second-order symmetric dual non-differentiable multiobjective programs is formulated over arbitrary cones. Weak, strong and converse duality theorems are established under K-η-bonvexity assumptions. Self-duality has also been discussed assuming the functions involved to be skew-symmetric.

Keywords: nonlinear programming; multiobjective programming; efficient solutions; second-order symmetric duality; K-eta-bonvexity; arbitrary cones; self-duality.

DOI: 10.1504/IJMOR.2015.070199

International Journal of Mathematics in Operational Research, 2015 Vol.7 No.4, pp.415 - 427

Received: 10 Aug 2013
Accepted: 24 Feb 2014
Published online: 29 Jun 2015 *

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