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Algebraic Interior and Separation on Linear Vector Spaces: Some Comments

Author

Listed:
  • Elham Kiyani

    (University of Tehran)

  • Majid Soleimani-damaneh

    (University of Tehran
    Institute for Research in Fundamental Sciences (IPM))

Abstract

In this paper, some comments are given on recently published papers about algebraic (relative) interior, separation, and generalized convexity in linear vector spaces. Two drawbacks in the proofs of two essential theorems are addressed and are corrected. Also, it is shown that a condition assumed in some results is redundant and should be removed.

Suggested Citation

  • Elham Kiyani & Majid Soleimani-damaneh, 2014. "Algebraic Interior and Separation on Linear Vector Spaces: Some Comments," Journal of Optimization Theory and Applications, Springer, vol. 161(3), pages 994-998, June.
    • Handle: RePEc:spr:joptap:v:161:y:2014:i:3:d:10.1007_s10957-013-0416-3
    DOI: 10.1007/s10957-013-0416-3
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    References listed on IDEAS

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    1. Adan, M. & Novo, V., 2003. "Weak efficiency in vector optimization using a closure of algebraic type under cone-convexlikeness," European Journal of Operational Research, Elsevier, vol. 149(3), pages 641-653, September.
    2. M. Adán & V. Novo, 2004. "Proper Efficiency in Vector Optimization on Real Linear Spaces," Journal of Optimization Theory and Applications, Springer, vol. 121(3), pages 515-540, June.
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