Counterexamples to some triality and tri-duality results |
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| Authors: | M D Voisei C Zălinescu |
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| Institution: | (1) Graduate School of Information Technology and Mathematical Sciences, University of Ballarat, Mt Helen, Victoria, 3353, Australia;(2) Grado Department of Industrial and Systems Engineering, Virginia Tech, Blacksburg, VA 24061, USA |
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| Abstract: | The aim of this paper is to show that the results on triality and tri-duality in Gao (J Glob Optim 17:127–160, 2000; J Glob
Optim 29:377–399, 2004; J Glob Optim 35:131–143, 2006; Encyclopedia of optimization, 2nd edn. Springer, New York, pp 822–828,
2009) and Gao et al. (J Glob Optim 45:473–497, 2009) are false. To prove this we provide simple counterexamples. |
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