Duality for fractional minimax programming

Jen Chwan Liu; Chuen Sheng Wu; Ruey Lin Sheu

doi:10.1080/02331939708844330

Duality for fractional minimax programming

Jen Chwan Liu, Chuen Sheng Wu, Ruey Lin Sheu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

Abstract

We establish the Kuhn-Tucker sufficient optimally conditions for a class of generalized minimax fractional programming involving pseudoconvex and quasiconvex functions. Subsequently, these optimality criteria are utilized as a basis for constructing three dual models and certain duality results have been derived in the framework of generalized convex functions.

Original language	English
Pages (from-to)	117-133
Number of pages	17
Journal	Optimization
Volume	41
Issue number	2
DOIs	https://doi.org/10.1080/02331939708844330
Publication status	Published - 1997 Jan 1

All Science Journal Classification (ASJC) codes

Control and Optimization
Management Science and Operations Research
Applied Mathematics

Access to Document

10.1080/02331939708844330

Cite this

@article{8ea60760b0f947a8a425ca41053af929,

title = "Duality for fractional minimax programming",

abstract = "We establish the Kuhn-Tucker sufficient optimally conditions for a class of generalized minimax fractional programming involving pseudoconvex and quasiconvex functions. Subsequently, these optimality criteria are utilized as a basis for constructing three dual models and certain duality results have been derived in the framework of generalized convex functions.",

author = "Liu, {Jen Chwan} and Wu, {Chuen Sheng} and Sheu, {Ruey Lin}",

year = "1997",

month = jan,

day = "1",

doi = "10.1080/02331939708844330",

language = "English",

volume = "41",

pages = "117--133",

journal = "Optimization",

issn = "0233-1934",

publisher = "Taylor and Francis Ltd.",

number = "2",

}

TY - JOUR

T1 - Duality for fractional minimax programming

AU - Liu, Jen Chwan

AU - Wu, Chuen Sheng

AU - Sheu, Ruey Lin

PY - 1997/1/1

Y1 - 1997/1/1

N2 - We establish the Kuhn-Tucker sufficient optimally conditions for a class of generalized minimax fractional programming involving pseudoconvex and quasiconvex functions. Subsequently, these optimality criteria are utilized as a basis for constructing three dual models and certain duality results have been derived in the framework of generalized convex functions.

AB - We establish the Kuhn-Tucker sufficient optimally conditions for a class of generalized minimax fractional programming involving pseudoconvex and quasiconvex functions. Subsequently, these optimality criteria are utilized as a basis for constructing three dual models and certain duality results have been derived in the framework of generalized convex functions.

UR - http://www.scopus.com/inward/record.url?scp=0031475048&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031475048&partnerID=8YFLogxK

U2 - 10.1080/02331939708844330

DO - 10.1080/02331939708844330

M3 - Article

AN - SCOPUS:0031475048

SN - 0233-1934

VL - 41

SP - 117

EP - 133

JO - Optimization

JF - Optimization

IS - 2

ER -

Duality for fractional minimax programming

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this