Some results on symmetric duality of multiobjective programmes with generalized (F,α) invexity

Some results on symmetric duality of multiobjective programmes with generalized (F,α) invexity

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Article ID: iaor20063644
Country: Netherlands
Volume: 168
Issue: 2
Start Page Number: 333
End Page Number: 339
Publication Date: Jan 2006
Journal: European Journal of Operational Research
Authors: ,
Keywords: duality
Abstract:

In this present article we have given some multiobjective programming problems with their symmetric duals and have derived weak and strong duality results with respect to such programs. Moreover, we have also used most general type of invexity assumptions involved with the functions which are related to the programming problems. It is to be pointed out that the objective functions in such programs contain terms like support functions which in turn are able to give results on particular classes of programs involving quadratic terms. Our results in particular give as special cases some earlier results on symmetric duals given in the current literature.

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