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Applied Mathematics Letters 18 (2005) 721728 www.elsevier.com/locate/aml

Summary: Applied Mathematics Letters 18 (2005) 721­728
Nondifferentiable second order symmetric duality in
multiobjective programming
I. Ahmad, Z. Husain
Department of Mathematics, Aligarh Muslim University, Aligarh-202 002, India
Received 21 April 2004; accepted 3 May 2004
A pair of Mond­Weir type nondifferentiablemultiobjective second order symmetric dual programs is formulated
and symmetric duality theorems are established under the assumptions of second order F-pseudoconvexity/
© 2005 Elsevier Ltd. All rights reserved.
Keywords: Symmetric duality; Multiobjective programming; Second order F-pseudoconvexity; Efficient solutions
1. Introduction
Symmetric duality in mathematical programming was introduced by Dorn [8], who defined
a program and its dual to be symmetric if the dual of the dual is the original problem.
Chandra and Husain [5] studied a pair of symmetric dual nondifferentiable programs by assuming
convexity/concavity of the scalar function f (x, y). Subsequently, Chandra et al. [3] presented another
pair of symmetric dual nondifferentiable programs weakening convexity/concavity assumptions to


Source: Ahmad, Izahr - Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals


Collections: Mathematics