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.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11101016).
Author NameAffiliation
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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