Optimality conditions and duality for a minimax fractional programming with generalized convexity

Zhi An Liang; Zhen Wei Shi

doi:10.1016/S0022-247X(02)00553-X

Optimality conditions and duality for a minimax fractional programming with generalized convexity

Zhi An Liang^*
, Zhen Wei Shi

^*此作品的通讯作者

Shanghai University of Finance and Economics
Dalian University of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

35 引用（Scopus）

摘要

We establish the sufficient conditions for generalized fractional programming from a viewpoint of the generalized convexity. When the sufficient conditions are utilized, the corresponding duality theorems are derived for two types of duals of the generalized fractional programming. We extend the corresponding results of several authors.

源语言	英语
页（从-至）	474-488
页数	15
期刊	Journal of Mathematical Analysis and Applications
卷	277
期	2
DOI	https://doi.org/10.1016/S0022-247X(02)00553-X
出版状态	已出版 - 15 1月 2003
已对外发布	是

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abstract = "We establish the sufficient conditions for generalized fractional programming from a viewpoint of the generalized convexity. When the sufficient conditions are utilized, the corresponding duality theorems are derived for two types of duals of the generalized fractional programming. We extend the corresponding results of several authors.",

keywords = "(F, α, p, d)-convex, Duality, Minimax fractional programming problem, Sufficient conditions",

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AU - Shi, Zhen Wei

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N2 - We establish the sufficient conditions for generalized fractional programming from a viewpoint of the generalized convexity. When the sufficient conditions are utilized, the corresponding duality theorems are derived for two types of duals of the generalized fractional programming. We extend the corresponding results of several authors.

AB - We establish the sufficient conditions for generalized fractional programming from a viewpoint of the generalized convexity. When the sufficient conditions are utilized, the corresponding duality theorems are derived for two types of duals of the generalized fractional programming. We extend the corresponding results of several authors.

KW - (F, α, p, d)-convex

KW - Duality

KW - Minimax fractional programming problem

KW - Sufficient conditions

UR - https://www.scopus.com/pages/publications/0037439481

U2 - 10.1016/S0022-247X(02)00553-X

DO - 10.1016/S0022-247X(02)00553-X

M3 - 文章

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SN - 0022-247X

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SP - 474

EP - 488

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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Optimality conditions and duality for a minimax fractional programming with generalized convexity

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