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DUALITY MODELS FOR MULTIOBJECTIVE SEMIINFINITE FRACTIONAL PROGRAMMING PROBLEMS INVOLVING TYPE-I AND RELATED FUNCTIONS

机译:涉及类型-I和相关功能的多目标半菲尼特分数规划问题的二元模型

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摘要

In this paper, we consider several dual models for a multiobjective semiinfinite fractional programming problem and establish usual duality theorems involving type-I and related functions. Our results generalize the results of Zalmai and Zhang [G.J. Zalmai and Qing-hong Zhang, Parametric duality models for semiinfinite multiobjective fractional programming problems containing generalized (?, ?, ?)-V-invex functions, Acta Math. Appl. Sinica29(2) (2013), 225?240]. Results obtained in this paper extend and unify several results in the literature.
机译:在本文中,我们考虑了几种用于多目标半纤维分数编程问题的双模型,并建立涉及I型和相关功能的通常的二元定理。我们的结果概括了Zalmai和张的结果[G.J. Zalmai和清红Zhang,参数二元性模型,用于含有广义(?,?,?) - V-Invex函数,Acta Math的半菲尼特多目标分数编程问题。苹果。 Sinica29(2)(2013),225?240]。本文获得的结果延长并统一了文献中的几个结果。

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