AccScience Publishing / IJOCTA / Volume 3 / Issue 1 / DOI: 10.11121/ijocta.01.2013.00122
APPLIED MATHEMATICS & CONTROL

Mixed type second-order symmetric duality under F-convexity

Tilak Raj Gulati1 Khushboo Verma1*
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1 Department of Mathematicsn Institute of Technology, Roorkee-247 667, India
Submitted: 31 March 2012 | Published: 25 August 2012
© 2012 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
Abstract

We introduce a pair of second order mixed symmetric dual problems. Weak, strong and converse duality theorems for this pair are established under $F-$convexity assumptions.

Keywords
Mixed integer programming; Second-order symmetric duality; F−convexity
Conflict of interest
The authors declare they have no competing interests.
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An International Journal of Optimization and Control: Theories & Applications, Electronic ISSN: 2146-5703 Print ISSN: 2146-0957, Published by AccScience Publishing