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On sufficiency and duality in multiobjective programming problem under generalized α-type I univexity

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Abstract

In this paper, we are concerned with the multiobjective programming problem with inequality constraints. We introduce new classes of generalized α-univex type I vector valued functions. A number of Kuhn–Tucker type sufficient optimality conditions are obtained for a feasible solution to be an efficient solution. The Mond–Weir type duality results are also presented.

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Correspondence to Anurag Jayswal.

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Jayswal, A. On sufficiency and duality in multiobjective programming problem under generalized α-type I univexity. J Glob Optim 46, 207–216 (2010). https://doi.org/10.1007/s10898-009-9418-y

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