Symmetric duality in complex spaces over cones
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 gene...
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University of Belgrade
2021
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oai:doaj.org-article:0abc6f48e5d34bbc889dc9c3e50a60222021-12-01T13:00:33ZSymmetric duality in complex spaces over cones0354-02431820-743X10.2298/YJOR2005015004Ahttps://doaj.org/article/0abc6f48e5d34bbc889dc9c3e50a60222021-01-01T00:00:00Zhttp://www.doiserbia.nb.rs/img/doi/0354-0243/2021/0354-02432100004A.pdfhttps://doaj.org/toc/0354-0243https://doaj.org/toc/1820-743XDuality 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.Ahmad IzharAgarwal DivyaGupta Shiv KumarUniversity of Belgradearticlesymmetric dualitypolyhedral conespseudo-convexManagement information systemsT58.6-58.62ENYugoslav Journal of Operations Research, Vol 31, Iss 4, Pp 515-538 (2021) |
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symmetric duality polyhedral cones pseudo-convex Management information systems T58.6-58.62 |
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symmetric duality polyhedral cones pseudo-convex Management information systems T58.6-58.62 Ahmad Izhar Agarwal Divya Gupta Shiv Kumar Symmetric duality in complex spaces over cones |
description |
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. |
format |
article |
author |
Ahmad Izhar Agarwal Divya Gupta Shiv Kumar |
author_facet |
Ahmad Izhar Agarwal Divya Gupta Shiv Kumar |
author_sort |
Ahmad Izhar |
title |
Symmetric duality in complex spaces over cones |
title_short |
Symmetric duality in complex spaces over cones |
title_full |
Symmetric duality in complex spaces over cones |
title_fullStr |
Symmetric duality in complex spaces over cones |
title_full_unstemmed |
Symmetric duality in complex spaces over cones |
title_sort |
symmetric duality in complex spaces over cones |
publisher |
University of Belgrade |
publishDate |
2021 |
url |
https://doaj.org/article/0abc6f48e5d34bbc889dc9c3e50a6022 |
work_keys_str_mv |
AT ahmadizhar symmetricdualityincomplexspacesovercones AT agarwaldivya symmetricdualityincomplexspacesovercones AT guptashivkumar symmetricdualityincomplexspacesovercones |
_version_ |
1718405156573282304 |