| Second Order ($F, \alpha,\rho, d,p$)-Univexity and Duality for Minimax Fractional Programming |
| Received:November 24, 2011 Revised:September 03, 2012 |
| Key Words:
second order ($F, \alpha,\rho, d,p$)-univexity minimax fractional programming second order duality optimality conditions.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11101016). |
| Author Name | Affiliation | | Haijun WANG | College of Applied Sciences, Beijing University of Technology, Beijing 100124, P. R. China
Department of Mathematics, Taiyuan Normal University, Shanxi 030012, P. R. China | | Caozong CHENG | College of Applied Sciences, Beijing University of Technology, Beijing 100124, P. R. China | | Xiaodong FAN | College of Applied Sciences, Beijing University of Technology, Beijing 100124, P. R. China |
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| Abstract: |
| In this paper, we introduce a class of generalized second order ($F, \alpha,\rho, d,p$)-univex functions. Two types of second order dual models are considered for a minimax fractional programming problem and the duality results are established by using the assumptions on the functions involved. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2013.02.004 |
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