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Optimality and Duality in Nondifferentiable and Multiobjective Programming under Generalized d-Invexity

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Abstract

In this paper, we are concerned with the nondifferentiable multiobjective programming problem with inequality constraints. We introduce four new classes of generalized d-type-I functions. By utilizing the new concepts, Antczak type Karush-Kuhn-Tucker sufficient optimality conditions, Mond-Weir type and general Mond-Weir type duality results are obtained for non-differentiable and multiobjective programming.

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Mishra, S., Wang, S. & Lai, K. Optimality and Duality in Nondifferentiable and Multiobjective Programming under Generalized d-Invexity. Journal of Global Optimization 29, 425–438 (2004). https://doi.org/10.1023/B:JOGO.0000047912.69270.8c

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  • DOI: https://doi.org/10.1023/B:JOGO.0000047912.69270.8c

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