Nondifferentiable second-order symmetric duality

I. Ahmad; Z. Husain

doi:10.1142/S0217595905000406

Nondifferentiable second-order symmetric duality

I. Ahmad^*, Z. Husain

^*Corresponding author for this work

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

8 Scopus citations

Abstract

A pair of Mond-Weir type nondifferentiable second-order symmetric primal and dual problems in mathematical programming is formulated. Weak duality, strong duality, and converse duality theorems are established under η-pseudobonvexity assumptions. Symmetric minimax mixed integer primal and dual problems are also investigated. Moreover, the self duality theorem is also discussed.

Original language	English
Pages (from-to)	19-31
Number of pages	13
Journal	Asia-Pacific Journal of Operational Research
Volume	22
Issue number	1
DOIs	https://doi.org/10.1142/S0217595905000406
State	Published - Mar 2005
Externally published	Yes

Keywords

Integer programming
Minimax
Nondifferentiable programming
Second-order symmetric duality
Self-duality

ASJC Scopus subject areas

Management Science and Operations Research

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10.1142/S0217595905000406

Cite this

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title = "Nondifferentiable second-order symmetric duality",

abstract = "A pair of Mond-Weir type nondifferentiable second-order symmetric primal and dual problems in mathematical programming is formulated. Weak duality, strong duality, and converse duality theorems are established under η-pseudobonvexity assumptions. Symmetric minimax mixed integer primal and dual problems are also investigated. Moreover, the self duality theorem is also discussed.",

keywords = "Integer programming, Minimax, Nondifferentiable programming, Second-order symmetric duality, Self-duality",

author = "I. Ahmad and Z. Husain",

year = "2005",

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doi = "10.1142/S0217595905000406",

language = "English",

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AU - Husain, Z.

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AB - A pair of Mond-Weir type nondifferentiable second-order symmetric primal and dual problems in mathematical programming is formulated. Weak duality, strong duality, and converse duality theorems are established under η-pseudobonvexity assumptions. Symmetric minimax mixed integer primal and dual problems are also investigated. Moreover, the self duality theorem is also discussed.

KW - Integer programming

KW - Minimax

KW - Nondifferentiable programming

KW - Second-order symmetric duality

KW - Self-duality

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U2 - 10.1142/S0217595905000406

DO - 10.1142/S0217595905000406

M3 - Article

AN - SCOPUS:16644398782

SN - 0217-5959

VL - 22

SP - 19

EP - 31

JO - Asia-Pacific Journal of Operational Research

JF - Asia-Pacific Journal of Operational Research

IS - 1

ER -

Nondifferentiable second-order symmetric duality

Abstract

Keywords

ASJC Scopus subject areas

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