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Symmetric duality for multiobjective fractional variational problems

Summary: Symmetric duality for multiobjective
fractional variational problems
with generalized invexity
Izhar Ahmad *
Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India
Received 4 March 2004; received in revised form 25 March 2005; accepted 7 April 2005
The concept of symmetric duality for multiobjective fractional problems has been
extended to the class of multiobjective variational problems. Weak, strong and converse
duality theorems are proved under generalized invexity assumptions. A close relation-
ship between these problems and multiobjective fractional symmetric dual problems is
also presented.
2005 Elsevier Inc. All rights reserved.
Keywords: Multiobjective programming; Symmetric duality; Fractional variational programming;
Pseudoinvexity; Properly efficient solutions
1. Introduction
In mathematical programming, a pair of primal and dual problems is called
symmetric if the dual of the dual is the primal problem; that is, if the dual
problem is expressed in the form of the primal problem, then its dual is the pri-
0020-0255/$ - see front matter 2005 Elsevier Inc. All rights reserved.


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


Collections: Mathematics