Non-differentiable second order symmetric duality in mathematical programming with F-convexity

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

doi:10.1016/S0377-2217(02)00156-X

Non-differentiable second order symmetric duality in mathematical programming with F-convexity

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

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

52 Citations (Scopus)

Abstract

A pair of Wolfe type non-differentiable second order symmetric primal and dual problems in mathematical programming is formulated. The weak and strong duality theorems are then established under second order F-convexity assumptions. Symmetric minimax mixed integer primal and dual problems are also investigated.

Original language	English
Pages (from-to)	554-559
Number of pages	6
Journal	European Journal of Operational Research
Volume	144
Issue number	3
DOIs	https://doi.org/10.1016/S0377-2217(02)00156-X
Publication status	Published - 1 Feb 2003

Keywords

Duality theorems
Non-differentiable 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

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10.1016/S0377-2217(02)00156-X

Cite this

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title = "Non-differentiable second order symmetric duality in mathematical programming with F-convexity",

abstract = "A pair of Wolfe type non-differentiable second order symmetric primal and dual problems in mathematical programming is formulated. The weak and strong duality theorems are then established under second order F-convexity assumptions. Symmetric minimax mixed integer primal and dual problems are also investigated.",

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

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

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T1 - Non-differentiable second order symmetric duality in mathematical programming with F-convexity

AU - Yang, X. M.

AU - Yang, Xiaoqi

AU - Teo, K. L.

PY - 2003/2/1

Y1 - 2003/2/1

N2 - A pair of Wolfe type non-differentiable second order symmetric primal and dual problems in mathematical programming is formulated. The weak and strong duality theorems are then established under second order F-convexity assumptions. Symmetric minimax mixed integer primal and dual problems are also investigated.

AB - A pair of Wolfe type non-differentiable second order symmetric primal and dual problems in mathematical programming is formulated. The weak and strong duality theorems are then established under second order F-convexity assumptions. Symmetric minimax mixed integer primal and dual problems are also investigated.

KW - Duality theorems

KW - Non-differentiable programming

KW - Second order F-convexity

KW - Second order symmetric dual model

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U2 - 10.1016/S0377-2217(02)00156-X

DO - 10.1016/S0377-2217(02)00156-X

M3 - Journal article

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VL - 144

SP - 554

EP - 559

JO - European Journal of Operational Research

JF - European Journal of Operational Research

IS - 3

ER -

Non-differentiable second order symmetric duality in mathematical programming with F-convexity

Abstract

Keywords

ASJC Scopus subject areas

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