August 2012, 2012:187,
Open Access
This content is freely available online to anyone, anywhere at any time.
Date:
31 Aug 2012
Secondorder duality for a nondifferentiable minimax fractional programming under generalized αunivexity
 SK Gupta,
 D Dangar,
 Sumit Kumar
 … show all 3 hide
Abstract
In this paper, we concentrate our study to derive appropriate duality theorems for two types of secondorder dual models of a nondifferentiable minimax fractional programming problem involving secondorder αunivex functions. Examples to show the existence of αunivex functions have also been illustrated. Several known results including many recent works are obtained as special cases.
MSC: 49J35, 90C32, 49N15.
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 Title
 Secondorder duality for a nondifferentiable minimax fractional programming under generalized αunivexity
 Open Access
 Available under Open Access This content is freely available online to anyone, anywhere at any time.
 Journal

Journal of Inequalities and Applications
2012:187
 Online Date
 August 2012
 DOI
 10.1186/1029242X2012187
 Online ISSN
 1029242X
 Publisher
 Springer International Publishing AG
 Additional Links
 Topics
 Keywords

 minimax programming
 fractional programming
 nondifferentiable programming
 secondorder duality
 αunivexity
 Authors

 SK Gupta ^{(1)}
 D Dangar ^{(1)}
 Sumit Kumar ^{(2)}
 Author Affiliations

 1. Department of Mathematics, Indian Institute of Technology, Patna, 800 013, India
 2. Indian Institute of Management, Udaipur, 313 001, India