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

@article{0d92e60b23004c1d9f02b45dab4569b9,

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",

month = jan,

day = "1",

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

language = "English",

volume = "289",

pages = "100--109",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

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

AU - Yang, X. M.

AU - Yang, Xiaoqi

AU - Teo, K. L.

PY - 2004/1/1

Y1 - 2004/1/1

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 - http://www.scopus.com/inward/record.url?scp=0346946905&partnerID=8YFLogxK

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

More information

Other files and links

Fingerprint

Cite this