SYMMETRIC DUALITY in COMPLEX SPACES over CONES

Izhar Ahmad; Divya Agarwal; Shiv Kumar Gupta

doi:10.2298/YJOR2005015004A

SYMMETRIC DUALITY in COMPLEX SPACES over CONES

Izhar Ahmad, Divya Agarwal, Shiv Kumar Gupta

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

Abstract

Duality theory plays an important role in optimization theory. It has been extensively used for many theoretical and computational problems in mathematical programming. In this paper duality results are established for first and second order Wolfe and Mond-Weir type symmetric dual programs over general polyhedral cones in complex spaces. Corresponding duality relations for nondifferentiable case are also stated. This work will also remove inconsistencies in the earlier work from the literature.

Original language	English
Pages (from-to)	515-538
Number of pages	24
Journal	Yugoslav Journal of Operations Research
Volume	31
Issue number	4
DOIs	https://doi.org/10.2298/YJOR2005015004A
State	Published - 2021

Bibliographical note

Publisher Copyright:
© 2021 Faculty of Organizational Sciences, Belgrade. All rights reserved.

Keywords

Polyhedral cones
Pseudo-Convex
Symmetric duality

ASJC Scopus subject areas

Management Science and Operations Research

Access to Document

10.2298/YJOR2005015004A

Cite this

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title = "SYMMETRIC DUALITY in COMPLEX SPACES over CONES",

abstract = "Duality theory plays an important role in optimization theory. It has been extensively used for many theoretical and computational problems in mathematical programming. In this paper duality results are established for first and second order Wolfe and Mond-Weir type symmetric dual programs over general polyhedral cones in complex spaces. Corresponding duality relations for nondifferentiable case are also stated. This work will also remove inconsistencies in the earlier work from the literature.",

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AU - Gupta, Shiv Kumar

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N2 - Duality theory plays an important role in optimization theory. It has been extensively used for many theoretical and computational problems in mathematical programming. In this paper duality results are established for first and second order Wolfe and Mond-Weir type symmetric dual programs over general polyhedral cones in complex spaces. Corresponding duality relations for nondifferentiable case are also stated. This work will also remove inconsistencies in the earlier work from the literature.

AB - Duality theory plays an important role in optimization theory. It has been extensively used for many theoretical and computational problems in mathematical programming. In this paper duality results are established for first and second order Wolfe and Mond-Weir type symmetric dual programs over general polyhedral cones in complex spaces. Corresponding duality relations for nondifferentiable case are also stated. This work will also remove inconsistencies in the earlier work from the literature.

KW - Polyhedral cones

KW - Pseudo-Convex

KW - Symmetric duality

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JO - Yugoslav Journal of Operations Research

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SYMMETRIC DUALITY in COMPLEX SPACES over CONES

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this