Abstract
In this note we show that the main result of the paper (J. Optim. Theory Appl., published online on 10 September 2011) due to A. Capătă and, consequently, all its particular cases are false.
Similar content being viewed by others
References
Capătă, A.: Optimality conditions for extended Ky Fan inequality with cone and affine constraints and their applications. J. Optim. Theory Appl., published “Online First” on 10 September (2011)
Boţ, R.I., Csetnek, E.R., Moldovan, A.: Revisiting some duality theorems via the quasirelative interior in convex optimization. J. Optim. Theory Appl. 139, 67–84 (2008)
Borwein, J.M., Lewis, A.S.: Partially finite convex programming, Part I: Quasi relative interiors and duality theory. Math. Program. 57, 15–48 (1992)
Boţ, R.I., Csetnek, E.R.: Regularity conditions via generalized interiority notions in convex optimization: new achievements and their relation to some classical statements. Optimization (2009). doi:10.1080/02331934.2010.505649. Preprint arXiv:0906.0453v1
Boţ, R.I., Csetnek, E.R., Wanka, G.: Regularity conditions via quasi-relative interior in convex programming. SIAM J. Optim. 19, 217–233 (2008)
Daniele, P., Giuffrè, S., Idone, G., Maugeri, A.: Infinite dimensional duality and applications. Math. Ann. 339, 221–239 (2007)
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by Igor Konnov.
Rights and permissions
About this article
Cite this article
Boţ, R.I., Csetnek, E.R. On Some Erroneous Statements in the Paper “Optimality Conditions for Extended Ky Fan Inequality with Cone and Affine Constraints and Their Applications” by A. Capătă. J Optim Theory Appl 153, 546–550 (2012). https://doi.org/10.1007/s10957-011-9969-1
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10957-011-9969-1