On second order symmetric duality innondifferentiable multiobjective programming

Xinmin Yang

doi:10.3934/jimo.2009.5.697

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2009, Volume 5, Issue 4: 697-703. Doi: 10.3934/jimo.2009.5.697

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On second order symmetric duality in nondifferentiable multiobjective programming

Xinmin Yang^1,

1.
Department of Mathematics, Chongqing Normal University, Chongqing 400047

Received: April 30, 2008

Revised: February 28, 2009

Published: September 2009

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Abstract

In this paper, we point out an inconsistency between assumptions and results on the second order strong and converse duality in a recent paper of I. Ahmad ( Information Sciences 173 (2005) 23-34). We then provide appropriate modifications to rectify this deficiency.

Keywords:

Nondifferentiable programming; Multiobjective symmetric duality; Efficient solutions; Properly efficient solutions; Second order dual models.

Mathematics Subject Classification: 90C29, 90C46.

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