Mixed symmetric duality in non-differentiable multiobjective mathematical programming

S. K. Mishra; S. Y. Wang; K. K. Lai; F. M. Yang

doi:10.1016/j.ejor.2006.04.041

Mixed symmetric duality in non-differentiable multiobjective mathematical programming

S. K. Mishra, S. Y. Wang, K. K. Lai, F. M. Yang

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

3 Citations (Scopus)

Abstract

Two mixed symmetric dual models for a class of non-differentiable multiobjective nonlinear programming problems with multiple arguments are introduced in this paper. These two mixed symmetric dual models unify the four existing multiobjective symmetric dual models in the literature. Weak and strong duality theorems are established for these models under some mild assumptions of generalized convexity. Several special cases are also obtained. © 2006 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	1-9
Journal	European Journal of Operational Research
Volume	181
Issue number	1
DOIs	https://doi.org/10.1016/j.ejor.2006.04.041
Publication status	Published - 16 Aug 2007

Research Keywords

Generalized convexity
Non-differentiable nonlinear programming
Support function
Symmetric duality

Access Output

10.1016/j.ejor.2006.04.041

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{dd0b1bab407a47b1873025e6673f4fa5,

title = "Mixed symmetric duality in non-differentiable multiobjective mathematical programming",

abstract = "Two mixed symmetric dual models for a class of non-differentiable multiobjective nonlinear programming problems with multiple arguments are introduced in this paper. These two mixed symmetric dual models unify the four existing multiobjective symmetric dual models in the literature. Weak and strong duality theorems are established for these models under some mild assumptions of generalized convexity. Several special cases are also obtained. {\textcopyright} 2006 Elsevier B.V. All rights reserved.",

keywords = "Generalized convexity, Non-differentiable nonlinear programming, Support function, Symmetric duality",

author = "Mishra, {S. K.} and Wang, {S. Y.} and Lai, {K. K.} and Yang, {F. M.}",

year = "2007",

month = aug,

day = "16",

doi = "10.1016/j.ejor.2006.04.041",

language = "English",

volume = "181",

pages = "1--9",

journal = "European Journal of Operational Research",

issn = "0377-2217",

publisher = "Elsevier B.V.",

number = "1",

}

TY - JOUR

T1 - Mixed symmetric duality in non-differentiable multiobjective mathematical programming

AU - Mishra, S. K.

AU - Wang, S. Y.

AU - Lai, K. K.

AU - Yang, F. M.

PY - 2007/8/16

Y1 - 2007/8/16

N2 - Two mixed symmetric dual models for a class of non-differentiable multiobjective nonlinear programming problems with multiple arguments are introduced in this paper. These two mixed symmetric dual models unify the four existing multiobjective symmetric dual models in the literature. Weak and strong duality theorems are established for these models under some mild assumptions of generalized convexity. Several special cases are also obtained. © 2006 Elsevier B.V. All rights reserved.

AB - Two mixed symmetric dual models for a class of non-differentiable multiobjective nonlinear programming problems with multiple arguments are introduced in this paper. These two mixed symmetric dual models unify the four existing multiobjective symmetric dual models in the literature. Weak and strong duality theorems are established for these models under some mild assumptions of generalized convexity. Several special cases are also obtained. © 2006 Elsevier B.V. All rights reserved.

KW - Generalized convexity

KW - Non-differentiable nonlinear programming

KW - Support function

KW - Symmetric duality

UR - http://www.scopus.com/inward/record.url?scp=33847364504&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-33847364504&origin=recordpage

U2 - 10.1016/j.ejor.2006.04.041

DO - 10.1016/j.ejor.2006.04.041

M3 - RGC 21 - Publication in refereed journal

SN - 0377-2217

VL - 181

SP - 1

EP - 9

JO - European Journal of Operational Research

JF - European Journal of Operational Research

IS - 1

ER -

Mixed symmetric duality in non-differentiable multiobjective mathematical programming

Abstract

Research Keywords

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Cite this