Study Data from M.D. Voisei and Colleagues Update Understanding of Global Optimization

"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," scientists in Iasi, Romania report.

"Springer, New York, pp 822-828, 2009) and Gao et al. (J Glob Optim 45:473-497, 2009) are false," wrote M.D. Voisei and colleagues.

The researchers concluded: "To prove this we provide simple counterexamples."

Voisei and colleagues published their study in the Journal of Global Optimization (Counterexamples to some triality and tri-duality results. Journal of Global Optimization, 2011;49(1):173-183).

For more information, contact C. Zalinescu, Alexandru Ioan Cuza University, Faculty Math, Iasi, Romania.

Publisher contact information for the Journal of Global Optimization is: Springer, Van Godewijckstraat 30, 3311 Gz Dordrecht, Netherlands.