Symmetric duality in complex spaces over cones

Izhar Ahmad; Divya Agarwal; Shiv Kumar Gupta

doi:10.2298/YJOR2005015004A

Authors

Izhar Ahmad Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
Divya Agarwal Amity Institute of Applied Sciences, Amity University Noida Sector, Noida, India
Shiv Kumar Gupta Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India

DOI:

https://doi.org/10.2298/YJOR2005015004A

Keywords:

Symmetric duality, Polyhedral Cones, Pseudo-convex

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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Symmetric duality in complex spaces over cones

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