Duality and saddle-point type optimality for generalized nonlinear fractional programming

X. M. Yang; Xiaoqi Yang; K. L. Teo

doi:10.1016/j.jmaa.2003.08.029

Duality and saddle-point type optimality for generalized nonlinear fractional programming

X. M. Yang
, Xiaoqi Yang
, K. L. Teo

Research output: Journal article publication › Journal article › Academic research › peer-review

22 Citations (Scopus)

Abstract

In this paper, we establish two theorems of alternative with generalized subconvexlikeness. We introduce two dual models for a generalized fractional programming problem. Theorems of alternative are then applied to establish duality theorems and a saddle-point type optimality condition.

Original language	English
Pages (from-to)	100-109
Number of pages	10
Journal	Journal of Mathematical Analysis and Applications
Volume	289
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2003.08.029
Publication status	Published - 1 Jan 2004

Keywords

Duality models
Duality theorems
Generalized convexity
Generalized fractional programming
Saddle-point optimality conditions
Theorems of alternative

ASJC Scopus subject areas

Analysis
Applied Mathematics

More information

10.1016/j.jmaa.2003.08.029

Cite this

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title = "Duality and saddle-point type optimality for generalized nonlinear fractional programming",

abstract = "In this paper, we establish two theorems of alternative with generalized subconvexlikeness. We introduce two dual models for a generalized fractional programming problem. Theorems of alternative are then applied to establish duality theorems and a saddle-point type optimality condition.",

keywords = "Duality models, Duality theorems, Generalized convexity, Generalized fractional programming, Saddle-point optimality conditions, Theorems of alternative",

author = "Yang, \{X. M.\} and Xiaoqi Yang and Teo, \{K. L.\}",

year = "2004",

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doi = "10.1016/j.jmaa.2003.08.029",

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T1 - Duality and saddle-point type optimality for generalized nonlinear fractional programming

AU - Yang, X. M.

AU - Yang, Xiaoqi

AU - Teo, K. L.

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N2 - In this paper, we establish two theorems of alternative with generalized subconvexlikeness. We introduce two dual models for a generalized fractional programming problem. Theorems of alternative are then applied to establish duality theorems and a saddle-point type optimality condition.

AB - In this paper, we establish two theorems of alternative with generalized subconvexlikeness. We introduce two dual models for a generalized fractional programming problem. Theorems of alternative are then applied to establish duality theorems and a saddle-point type optimality condition.

KW - Duality models

KW - Duality theorems

KW - Generalized convexity

KW - Generalized fractional programming

KW - Saddle-point optimality conditions

KW - Theorems of alternative

UR - https://www.scopus.com/pages/publications/0346946905

U2 - 10.1016/j.jmaa.2003.08.029

DO - 10.1016/j.jmaa.2003.08.029

M3 - Journal article

SN - 0022-247X

VL - 289

SP - 100

EP - 109

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Duality and saddle-point type optimality for generalized nonlinear fractional programming

Abstract

Keywords

ASJC Scopus subject areas

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