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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

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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.

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References

  1. 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)

  2. 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)

    Article  MathSciNet  MATH  Google Scholar 

  3. Borwein, J.M., Lewis, A.S.: Partially finite convex programming, Part I: Quasi relative interiors and duality theory. Math. Program. 57, 15–48 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  4. 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

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  5. Boţ, R.I., Csetnek, E.R., Wanka, G.: Regularity conditions via quasi-relative interior in convex programming. SIAM J. Optim. 19, 217–233 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  6. Daniele, P., Giuffrè, S., Idone, G., Maugeri, A.: Infinite dimensional duality and applications. Math. Ann. 339, 221–239 (2007)

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to R. I. Boţ.

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Communicated by Igor Konnov.

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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

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  • DOI: https://doi.org/10.1007/s10957-011-9969-1

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