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

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10.1016/j.aml.2004.04.008

Cite this

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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

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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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