Open AccessSymmetric duality in complex spaces over cones
Author(s) -
Ahmad Ismail,
Divya Agarwal,
Kumar Shiv Gupta
Publication year - 2021
Publication title -
yugoslav journal of operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.221
H-Index - 21
eISSN - 1820-743X
pISSN - 0354-0243
DOI - 10.2298/yjor2005015004a
Subject(s) - duality (order theory) , wolfe duality , duality gap , strong duality , mathematics , dual (grammatical number) , weak duality , mathematical economics , algebra over a field , pure mathematics , mathematical optimization , optimization problem , art , literature
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.