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| Volume 3, Number 2, May 2007, pp. 323-344 | |||||||||
| Huynh Van Ngai and Jean-Paul Penot | |||||||||
| Key words: | |||||||||
| generalized convexity, nonsmooth analysis, semismoothness, smoothness, starshaped function, subconvexity, subdifferential | |||||||||
| Mathematices Subject Classification: 49J52, 46N10, 46T20, 90C30 | |||||||||
| References | |||||||||
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| Abstract: | |||
| The relationships between semismoothness of a function and submonotonicity of its subdifferentials at some given point are studied. A notion of approximate starshapedness at that point is introduced and compared with these properties. | |||
| Semismoothness and directional subconvexity of functions | ||