Higher-order duality in nondifferentiable minimax programming with generalized type i functions

I. Ahmad; Z. Husain; S. Sharma

doi:10.1007/s10957-008-9474-3

Higher-order duality in nondifferentiable minimax programming with generalized type i functions

I. Ahmad^*
, Z. Husain
, S. Sharma

^*Corresponding author for this work

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

18 Scopus citations

Abstract

A unified higher-order dual for a nondifferentiable minimax programming problem is formulated. Weak, strong and strict converse duality theorems are discussed involving generalized higher-order (F,α,ρ,d)-Type I functions.

Original language	English
Pages (from-to)	1-12
Number of pages	12
Journal	Journal of Optimization Theory and Applications
Volume	141
Issue number	1
DOIs	https://doi.org/10.1007/s10957-008-9474-3
State	Published - Apr 2009
Externally published	Yes

Bibliographical note

Funding Information:
The research of second author was supported by the Department of Atomic Energy, Government of India, under the NBHM Post Doctoral Fellowship Program 40/9/2005-R&D II/2398.

Keywords

Higher-order duality
Minimax programming
Nondifferentiable programming

ASJC Scopus subject areas

Management Science and Operations Research
Control and Optimization
Applied Mathematics

Access to Document

10.1007/s10957-008-9474-3

Cite this

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title = "Higher-order duality in nondifferentiable minimax programming with generalized type i functions",

abstract = "A unified higher-order dual for a nondifferentiable minimax programming problem is formulated. Weak, strong and strict converse duality theorems are discussed involving generalized higher-order (F,α,ρ,d)-Type I functions.",

keywords = "Higher-order duality, Minimax programming, Nondifferentiable programming",

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

note = "Funding Information: The research of second author was supported by the Department of Atomic Energy, Government of India, under the NBHM Post Doctoral Fellowship Program 40/9/2005-R\&D II/2398.",

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AU - Ahmad, I.

AU - Husain, Z.

AU - Sharma, S.

N1 - Funding Information: The research of second author was supported by the Department of Atomic Energy, Government of India, under the NBHM Post Doctoral Fellowship Program 40/9/2005-R&D II/2398.

PY - 2009/4

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N2 - A unified higher-order dual for a nondifferentiable minimax programming problem is formulated. Weak, strong and strict converse duality theorems are discussed involving generalized higher-order (F,α,ρ,d)-Type I functions.

AB - A unified higher-order dual for a nondifferentiable minimax programming problem is formulated. Weak, strong and strict converse duality theorems are discussed involving generalized higher-order (F,α,ρ,d)-Type I functions.

KW - Higher-order duality

KW - Minimax programming

KW - Nondifferentiable programming

UR - https://www.scopus.com/pages/publications/62949132122

U2 - 10.1007/s10957-008-9474-3

DO - 10.1007/s10957-008-9474-3

M3 - Article

AN - SCOPUS:62949132122

SN - 0022-3239

VL - 141

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JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

IS - 1

ER -

Higher-order duality in nondifferentiable minimax programming with generalized type i functions

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this