Huard type second-order converse duality for nonlinear programming

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

doi:10.1016/j.aml.2004.04.008

Huard type second-order converse duality for nonlinear programming

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

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

16 Citations (Scopus)

Abstract

A Huard type converse duality for a second-order dual model in nonlinear programming using Fritz John necessary optimality conditions was established. A new Huard type second-order converse duality theorem was also presented. The duality theorems under 'second-order convexity' condition were proved. A weak duality, a strong duality, a Mangasarian type strict converse duality and a Huard type converse duality under the conditions that f was pseudobonvex and yT was semistrictly pseidobonvex, where 'pseudobonvexity' was defined by Mond and Weir as an expansion of the second-order convexity, were given by Husain.

Original language	English
Pages (from-to)	205-208
Number of pages	4
Journal	Applied Mathematics Letters
Volume	18
Issue number	2
DOIs	https://doi.org/10.1016/j.aml.2004.04.008
Publication status	Published - 1 Feb 2005

Keywords

Fritz John second order dual model
Huard type converse duality
Nonlinear programming

ASJC Scopus subject areas

Computational Mechanics
Control and Systems Engineering
Applied Mathematics
Numerical Analysis

More information

10.1016/j.aml.2004.04.008

Cite this

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title = "Huard type second-order converse duality for nonlinear programming",

abstract = "A Huard type converse duality for a second-order dual model in nonlinear programming using Fritz John necessary optimality conditions was established. A new Huard type second-order converse duality theorem was also presented. The duality theorems under 'second-order convexity' condition were proved. A weak duality, a strong duality, a Mangasarian type strict converse duality and a Huard type converse duality under the conditions that f was pseudobonvex and yT was semistrictly pseidobonvex, where 'pseudobonvexity' was defined by Mond and Weir as an expansion of the second-order convexity, were given by Husain.",

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AU - Yang, Xiaoqi

AU - Teo, K. L.

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N2 - A Huard type converse duality for a second-order dual model in nonlinear programming using Fritz John necessary optimality conditions was established. A new Huard type second-order converse duality theorem was also presented. The duality theorems under 'second-order convexity' condition were proved. A weak duality, a strong duality, a Mangasarian type strict converse duality and a Huard type converse duality under the conditions that f was pseudobonvex and yT was semistrictly pseidobonvex, where 'pseudobonvexity' was defined by Mond and Weir as an expansion of the second-order convexity, were given by Husain.

AB - A Huard type converse duality for a second-order dual model in nonlinear programming using Fritz John necessary optimality conditions was established. A new Huard type second-order converse duality theorem was also presented. The duality theorems under 'second-order convexity' condition were proved. A weak duality, a strong duality, a Mangasarian type strict converse duality and a Huard type converse duality under the conditions that f was pseudobonvex and yT was semistrictly pseidobonvex, where 'pseudobonvexity' was defined by Mond and Weir as an expansion of the second-order convexity, were given by Husain.

KW - Fritz John second order dual model

KW - Huard type converse duality

KW - Nonlinear programming

UR - https://www.scopus.com/pages/publications/13844317826

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DO - 10.1016/j.aml.2004.04.008

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SP - 205

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 2

ER -

Huard type second-order converse duality for nonlinear programming

Abstract

Keywords

ASJC Scopus subject areas

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