Second order duality for multiobjective programming with cone constraints

Li Ping Tang; Hong Yan; Xin Min Yang

doi:10.1007/s11425-016-5147-0

Second order duality for multiobjective programming with cone constraints

Li Ping Tang, Hong Yan, Xin Min Yang

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

4 Citations (Scopus)

Abstract

We focus on second order duality for a class of multiobjective programming problem subject to cone constraints. Four types of second order duality models are formulated. Weak and strong duality theorems are established in terms of the generalized convexity, respectively. Converse duality theorems, essential parts of duality theory, are presented under appropriate assumptions. Moreover, some deficiencies in the work of Ahmad and Agarwal (2010) are discussed.

Original language	English
Pages (from-to)	1285-1306
Number of pages	22
Journal	Science China Mathematics
Volume	59
Issue number	7
DOIs	https://doi.org/10.1007/s11425-016-5147-0
Publication status	Published - 1 Jul 2016

Keywords

cone constraints
multiobjective programming
second order duality

ASJC Scopus subject areas

General Mathematics

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10.1007/s11425-016-5147-0

Cite this

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abstract = "We focus on second order duality for a class of multiobjective programming problem subject to cone constraints. Four types of second order duality models are formulated. Weak and strong duality theorems are established in terms of the generalized convexity, respectively. Converse duality theorems, essential parts of duality theory, are presented under appropriate assumptions. Moreover, some deficiencies in the work of Ahmad and Agarwal (2010) are discussed.",

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AU - Yan, Hong

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AB - We focus on second order duality for a class of multiobjective programming problem subject to cone constraints. Four types of second order duality models are formulated. Weak and strong duality theorems are established in terms of the generalized convexity, respectively. Converse duality theorems, essential parts of duality theory, are presented under appropriate assumptions. Moreover, some deficiencies in the work of Ahmad and Agarwal (2010) are discussed.

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KW - multiobjective programming

KW - second order duality

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DO - 10.1007/s11425-016-5147-0

M3 - Journal article

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JO - Science China Mathematics

JF - Science China Mathematics

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Second order duality for multiobjective programming with cone constraints

Abstract

Keywords

ASJC Scopus subject areas

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