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Licensed Unlicensed Requires Authentication Published by De Gruyter October 20, 2018

Some results on abstract convexity of functions

Hossein Mohebi and Hasan Barsam
From the journal Mathematica Slovaca


In this paper, we study abstract convexity topical and sub-topical functions. We obtain some results on abstract convexity such as support set and subdifferential in view of new elementary functions. Indeed, first we show that the ICR and IR functions are dense in IPH functions then the topical function and sub-topical function on topological vector space by another elementary function is studied. These elementary functions lead to obtain similar results with easier proofs.

  1. Communicated by Ján Borsík


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Received: 2016-11-07
Accepted: 2017-08-08
Published Online: 2018-10-20
Published in Print: 2018-10-25

© 2018 Mathematical Institute Slovak Academy of Sciences