Second order symmetric duality in non-differentiable multiobjective programming with F-convexity

X. M. Yang; Xiaoqi Yang; K. L. Teo; S. H. Hou

doi:10.1016/j.ejor.2003.04.007

Second order symmetric duality in non-differentiable multiobjective programming with F-convexity

X. M. Yang
, Xiaoqi Yang
, K. L. Teo
, S. H. Hou

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

33 Citations (Scopus)

Abstract

This paper is concerned with a pair of Mond-Weir type second order symmetric dual non-differentiable multiobjective programming problems. We establish the weak and strong duality theorems for the new pair of dual models under second order F-convexity assumptions. Several results including many recent works are obtained as special cases.

Original language	English
Pages (from-to)	406-416
Number of pages	11
Journal	European Journal of Operational Research
Volume	164
Issue number	2
DOIs	https://doi.org/10.1016/j.ejor.2003.04.007
Publication status	Published - 16 Jul 2005

Keywords

Duality theorems
Non-differentiable multiobjective programming
Second order F-convexity
Second order symmetric dual model

ASJC Scopus subject areas

Modelling and Simulation
Management Science and Operations Research
Information Systems and Management

More information

10.1016/j.ejor.2003.04.007

Cite this

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title = "Second order symmetric duality in non-differentiable multiobjective programming with F-convexity",

abstract = "This paper is concerned with a pair of Mond-Weir type second order symmetric dual non-differentiable multiobjective programming problems. We establish the weak and strong duality theorems for the new pair of dual models under second order F-convexity assumptions. Several results including many recent works are obtained as special cases.",

keywords = "Duality theorems, Non-differentiable multiobjective programming, Second order F-convexity, Second order symmetric dual model",

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AU - Yang, X. M.

AU - Yang, Xiaoqi

AU - Teo, K. L.

AU - Hou, S. H.

PY - 2005/7/16

Y1 - 2005/7/16

N2 - This paper is concerned with a pair of Mond-Weir type second order symmetric dual non-differentiable multiobjective programming problems. We establish the weak and strong duality theorems for the new pair of dual models under second order F-convexity assumptions. Several results including many recent works are obtained as special cases.

AB - This paper is concerned with a pair of Mond-Weir type second order symmetric dual non-differentiable multiobjective programming problems. We establish the weak and strong duality theorems for the new pair of dual models under second order F-convexity assumptions. Several results including many recent works are obtained as special cases.

KW - Duality theorems

KW - Non-differentiable multiobjective programming

KW - Second order F-convexity

KW - Second order symmetric dual model

UR - https://www.scopus.com/pages/publications/10444280005

U2 - 10.1016/j.ejor.2003.04.007

DO - 10.1016/j.ejor.2003.04.007

M3 - Journal article

SN - 0377-2217

VL - 164

SP - 406

EP - 416

JO - European Journal of Operational Research

JF - European Journal of Operational Research

IS - 2

ER -

Second order symmetric duality in non-differentiable multiobjective programming with F-convexity

Abstract

Keywords

ASJC Scopus subject areas

More information

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