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April  2008, 4(2): 385-391. doi: 10.3934/jimo.2008.4.385

Higher-order symmetric duality in multiobjective programming with invexity

Xinmin Yang 1, , Xiaoqi Yang 2, and  Kok Lay Teo 3,

1. 

Department of Mathematics, Chongqing Normal University, Chongqing 400047, China
2. 

Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong
3. 

Department of Mathematics and Statistics, Curtin University of Technology, GPO Box U 1987, Perth, W.A. 6845, Australia

Received  November 2006 Revised  February 2008 Published  April 2008

In this paper, a pair of higher order symmetric dual models for multiobjective nonlinear programming is introduced. The weak, strong and converse duality theorems are proven for the formulated higher order symmetric dual programs under invexity conditions.
Keywords: invexity., Higher order symmetric dual models, nonlinear multiobjective programming, duality theorems.
Mathematics Subject Classification: 90C29, 90C4.
Citation: Xinmin Yang, Xiaoqi Yang, Kok Lay Teo. Higher-order symmetric duality in multiobjective programming with invexity. Journal of Industrial & Management Optimization, 2008, 4 (2) : 385-391. doi: 10.3934/jimo.2008.4.385
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