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| Volume 3, Number 1, January 2007, pp. 193-212 | ||||||||||
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A.M. Rubinov and A.P. Shveidel |
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| Key words: | ||||||||||
| radiant set, star-shaped set, min-type function, abstract convex function, subdifferential, lower Dini derivative | ||||||||||
| Mathematices Subject Classification: 26B25, 52A01, 52A30 | ||||||||||
| References | ||||||||||
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| Abstract: | |||
| We study some properties of functions with star-shaped (and, in particular, radiant) and closed epigraph. We show that these functions can be characterized as abstract convex with respect to a certain class of min-type functions and give conditions that guarantee the non-emptiness of the subdifferential with respect to this class. | |||
| Radiant and star-shaped functions | ||