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Algebraic Interior and Separation on Linear Vector Spaces: Some Comments

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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.

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Acknowledgement

This research was in part supported by a grant from IPM (No. 91260124).

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Authors and Affiliations

  1. School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran

    Elham Kiyani & Majid Soleimani-damaneh

  2. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran

    Majid Soleimani-damaneh

Authors
  1. Elham Kiyani
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  2. Majid Soleimani-damaneh
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Correspondence to Majid Soleimani-damaneh.

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Kiyani, E., Soleimani-damaneh, M. Algebraic Interior and Separation on Linear Vector Spaces: Some Comments. J Optim Theory Appl 161, 994–998 (2014). https://doi.org/10.1007/s10957-013-0416-3

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  • DOI: https://doi.org/10.1007/s10957-013-0416-3

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