Second-order duality for nonlinear programming

X. M. Yang; Xiaoqi Yang; K. L. Teo; S. H. Hou

Second-order duality for nonlinear programming

X. M. Yang, Xiaoqi Yang, K. L. Teo, S. H. Hou

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

Abstract

Four second-order dual models for nonlinear programming are introduced and their duality under generalized second-order F-convexity assumptions are discussed. These results generalize and improve corresponding first-order works of Chandra and Abha4.

Original language	English
Pages (from-to)	699-708
Number of pages	10
Journal	Indian Journal of Pure and Applied Mathematics
Volume	35
Issue number	5
Publication status	Published - 1 May 2004

Keywords

Duality Theorem
Generalized Second-Order F-Convexity
Nonlinear Programming
Second-Order Dual Model

ASJC Scopus subject areas

Mathematics(all)

Cite this

@article{3bbb784f9b8d41ff8a2106e3d6dae50a,

title = "Second-order duality for nonlinear programming",

abstract = "Four second-order dual models for nonlinear programming are introduced and their duality under generalized second-order F-convexity assumptions are discussed. These results generalize and improve corresponding first-order works of Chandra and Abha4.",

keywords = "Duality Theorem, Generalized Second-Order F-Convexity, Nonlinear Programming, Second-Order Dual Model",

author = "Yang, {X. M.} and Xiaoqi Yang and Teo, {K. L.} and Hou, {S. H.}",

year = "2004",

month = may,

day = "1",

language = "English",

volume = "35",

pages = "699--708",

journal = "Indian Journal of Pure and Applied Mathematics",

issn = "0019-5588",

publisher = "Indian National Science Academy",

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TY - JOUR

T1 - Second-order duality for nonlinear programming

AU - Yang, X. M.

AU - Yang, Xiaoqi

AU - Teo, K. L.

AU - Hou, S. H.

PY - 2004/5/1

Y1 - 2004/5/1

N2 - Four second-order dual models for nonlinear programming are introduced and their duality under generalized second-order F-convexity assumptions are discussed. These results generalize and improve corresponding first-order works of Chandra and Abha4.

AB - Four second-order dual models for nonlinear programming are introduced and their duality under generalized second-order F-convexity assumptions are discussed. These results generalize and improve corresponding first-order works of Chandra and Abha4.

KW - Duality Theorem

KW - Generalized Second-Order F-Convexity

KW - Nonlinear Programming

KW - Second-Order Dual Model

UR - http://www.scopus.com/inward/record.url?scp=3142690015&partnerID=8YFLogxK

M3 - Journal article

SN - 0019-5588

VL - 35

SP - 699

EP - 708

JO - Indian Journal of Pure and Applied Mathematics

JF - Indian Journal of Pure and Applied Mathematics

IS - 5

ER -

Second-order duality for nonlinear programming

Abstract

Keywords

ASJC Scopus subject areas

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