Table of Contents
International Scholarly Research Notices
Volume 2014 (2014), Article ID 541524, 8 pages
Research Article

Second Order Duality in Multiobjective Fractional Programming with Square Root Term under Generalized Univex Function

Department of Mathematics, Trident Academy of Technology, F2/A, Chandaka Industrial Estate, Bhubaneswar, Odisha 751024, India

Received 12 March 2014; Accepted 10 April 2014; Published 7 July 2014

Academic Editor: Majid Soleimani-damaneh

Copyright © 2014 Arun Kumar Tripathy. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Three approaches of second order mixed type duality are introduced for a nondifferentiable multiobjective fractional programming problem in which the numerator and denominator of objective function contain square root of positive semidefinite quadratic form. Also, the necessary and sufficient conditions of efficient solution for fractional programming are established and a parameterization technique is used to establish duality results under generalized second order -univexity assumption.