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

9 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

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

Access to Document

10.1142/S0217595918500288

Cite this

@article{eede5237de774626969f8d04d9c472c6,

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 = "Publisher Copyright: {\textcopyright} 2018 World Scientific Publishing Co.",

year = "2018",

month = aug,

day = "1",

doi = "10.1142/S0217595918500288",

language = "English",

volume = "35",

journal = "Asia-Pacific Journal of Operational Research",

issn = "0217-5959",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "4",

}

TY - JOUR

T1 - Second-order symmetric duality in variational control problems over cone constraints

AU - Jayswal, Anurag

AU - Jha, Shalini

AU - Prasad, Ashish Kumar

AU - Ahmad, Izhar

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

UR - https://www.scopus.com/pages/publications/85048260502

U2 - 10.1142/S0217595918500288

DO - 10.1142/S0217595918500288

M3 - Article

AN - SCOPUS:85048260502

SN - 0217-5959

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

Access to Document

Fingerprint

Cite this