Second-order symmetric duality in variational control problems over cone constraints

Anurag Jayswal; Shalini Jha; Ashish Kumar Prasad; Izhar Ahmad

doi:10.1142/S0217595918500288

Second-order symmetric duality in variational control problems over cone constraints

Anurag Jayswal^*, Shalini Jha, Ashish Kumar Prasad, Izhar Ahmad

^*Corresponding author for this work

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

6 Scopus citations

Abstract

In the present paper, we introduce a pair of multiobjective second-order symmetric variational control programs over cone constraints and derive weak, strong and converse duality theorems under second-order F-convexity assumption. Moreover, self-duality theorem is also discussed. Our results extend some of the known results in literature.

Original language	English
Article number	1850028
Journal	Asia-Pacific Journal of Operational Research
Volume	35
Issue number	4
DOIs	https://doi.org/10.1142/S0217595918500288
State	Published - 1 Aug 2018

Bibliographical note

Funding Information:
The first author thanks to SERB-DST, New Delhi, India for the financial support under the fast track Project SR/FTP/MS-007/2011. The authors are highly grateful to the reviewers for their careful reading and suggestions leading to the improved version of the original draft.

Publisher Copyright:
© 2018 World Scientific Publishing Co.

Keywords

Multiobjective programming
duality
efficient solutions
second-order F-convexity
variational control problems

ASJC Scopus subject areas

Management Science and Operations Research

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10.1142/S0217595918500288

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title = "Second-order symmetric duality in variational control problems over cone constraints",

abstract = "In the present paper, we introduce a pair of multiobjective second-order symmetric variational control programs over cone constraints and derive weak, strong and converse duality theorems under second-order F-convexity assumption. Moreover, self-duality theorem is also discussed. Our results extend some of the known results in literature.",

keywords = "Multiobjective programming, duality, efficient solutions, second-order F-convexity, variational control problems",

author = "Anurag Jayswal and Shalini Jha and Prasad, {Ashish Kumar} and Izhar Ahmad",

note = "Funding Information: The first author thanks to SERB-DST, New Delhi, India for the financial support under the fast track Project SR/FTP/MS-007/2011. The authors are highly grateful to the reviewers for their careful reading and suggestions leading to the improved version of the original draft. Publisher Copyright: {\textcopyright} 2018 World Scientific Publishing Co.",

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AU - Jayswal, Anurag

AU - Jha, Shalini

AU - Prasad, Ashish Kumar

AU - Ahmad, Izhar

N1 - Funding Information: The first author thanks to SERB-DST, New Delhi, India for the financial support under the fast track Project SR/FTP/MS-007/2011. The authors are highly grateful to the reviewers for their careful reading and suggestions leading to the improved version of the original draft. Publisher Copyright: © 2018 World Scientific Publishing Co.

PY - 2018/8/1

Y1 - 2018/8/1

N2 - In the present paper, we introduce a pair of multiobjective second-order symmetric variational control programs over cone constraints and derive weak, strong and converse duality theorems under second-order F-convexity assumption. Moreover, self-duality theorem is also discussed. Our results extend some of the known results in literature.

AB - In the present paper, we introduce a pair of multiobjective second-order symmetric variational control programs over cone constraints and derive weak, strong and converse duality theorems under second-order F-convexity assumption. Moreover, self-duality theorem is also discussed. Our results extend some of the known results in literature.

KW - Multiobjective programming

KW - duality

KW - efficient solutions

KW - second-order F-convexity

KW - variational control problems

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DO - 10.1142/S0217595918500288

M3 - Article

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VL - 35

JO - Asia-Pacific Journal of Operational Research

JF - Asia-Pacific Journal of Operational Research

IS - 4

M1 - 1850028

ER -

Second-order symmetric duality in variational control problems over cone constraints

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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