A note on higher-order nondifferentiable symmetric duality in multiobjective programming

Ravi P. Agarwal; Izhar Ahmad; S. K. Gupta

doi:10.1016/j.aml.2011.02.021

A note on higher-order nondifferentiable symmetric duality in multiobjective programming

Ravi P. Agarwal, Izhar Ahmad, S. K. Gupta

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

17 Scopus citations

Abstract

In this work, we establish a strong duality theorem for MondWeir type multiobjective higher-order nondifferentiable symmetric dual programs. This fills some gaps in the work of Chen [X. Chen, Higher-order symmetric duality in nondifferentiable multiobjective programming problems, J. Math. Anal. Appl. 290 (2004) 423435].

Original language	English
Pages (from-to)	1308-1311
Number of pages	4
Journal	Applied Mathematics Letters
Volume	24
Issue number	8
DOIs	https://doi.org/10.1016/j.aml.2011.02.021
State	Published - Aug 2011

Keywords

Duality theorems
Higher-order F-convexity
Higher-order symmetric duality
Nondifferentiable programming
Support function

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aml.2011.02.021

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title = "A note on higher-order nondifferentiable symmetric duality in multiobjective programming",

abstract = "In this work, we establish a strong duality theorem for MondWeir type multiobjective higher-order nondifferentiable symmetric dual programs. This fills some gaps in the work of Chen [X. Chen, Higher-order symmetric duality in nondifferentiable multiobjective programming problems, J. Math. Anal. Appl. 290 (2004) 423435].",

keywords = "Duality theorems, Higher-order F-convexity, Higher-order symmetric duality, Nondifferentiable programming, Support function",

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AU - Ahmad, Izhar

AU - Gupta, S. K.

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N2 - In this work, we establish a strong duality theorem for MondWeir type multiobjective higher-order nondifferentiable symmetric dual programs. This fills some gaps in the work of Chen [X. Chen, Higher-order symmetric duality in nondifferentiable multiobjective programming problems, J. Math. Anal. Appl. 290 (2004) 423435].

AB - In this work, we establish a strong duality theorem for MondWeir type multiobjective higher-order nondifferentiable symmetric dual programs. This fills some gaps in the work of Chen [X. Chen, Higher-order symmetric duality in nondifferentiable multiobjective programming problems, J. Math. Anal. Appl. 290 (2004) 423435].

KW - Duality theorems

KW - Higher-order F-convexity

KW - Higher-order symmetric duality

KW - Nondifferentiable programming

KW - Support function

UR - https://www.scopus.com/pages/publications/79955475589

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DO - 10.1016/j.aml.2011.02.021

M3 - Article

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VL - 24

SP - 1308

EP - 1311

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 8

ER -

A note on higher-order nondifferentiable symmetric duality in multiobjective programming

Abstract

Keywords

ASJC Scopus subject areas

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