文章基本信息

标题：Nondifferentiable Multiobjective Programming with Equality and Inequality Constraints
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作者：Iqbal Husain ; Vikas K. Jain
期刊名称：Open Journal of Modelling and Simulation
印刷版ISSN：2327-4018
电子版ISSN：2327-4026
出版年度：2013
卷号：1
期号：2
页码：7-13
DOI：10.4236/ojmsi.2013.12002
出版社：Scientific Research Publishing
摘要：In this paper, we derive optimality conditions for a nondifferentiable multiobjective programming problem containing a certain square root of a quadratic form in each component of the objective function in the presence of equality and inequality constraints. As an application of Karush-Kuhn-Tucker type optimality conditions, a Mond-Weir type dual to this problem is formulated and various duality results are established under generalized invexity assumptions. Finally, a special case is deduced from our result.
关键词：Nondifferentiable Multiobjective Programming Problem; Efficient Solution; Generalized Invexity; Duality; Nondifferentiable Multiobjective Programming Problems with Equality and Inequality