Research

Journal of Inequalities and Applications

, 2012:187

Open Access This content is freely available online to anyone, anywhere at any time.

Second-order duality for a nondifferentiable minimax fractional programming under generalized α-univexity

  • SK GuptaAffiliated withDepartment of Mathematics, Indian Institute of Technology Email author 
  • , D DangarAffiliated withDepartment of Mathematics, Indian Institute of Technology
  • , Sumit KumarAffiliated withIndian Institute of Management

Abstract

In this paper, we concentrate our study to derive appropriate duality theorems for two types of second-order dual models of a nondifferentiable minimax fractional programming problem involving second-order α-univex functions. Examples to show the existence of α-univex functions have also been illustrated. Several known results including many recent works are obtained as special cases.

MSC: 49J35, 90C32, 49N15.

Keywords

minimax programming fractional programming nondifferentiable programming second-order duality α-univexity