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Keywords
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abstract convexity, topical function, sub-topical function, elementary function, support set, subdiffer-
ential.
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Abstract
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In this paper, we study abstract convexity topical and sub-topical functions. We obtain
some results on abstract convexity such as support set and subdi erential in view of new elementary
functions. Indeed, rst 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.
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