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| Volume 4, Number 3, September 2008, pp. 605-619 | |||||||||
| Jean-Paul Penot | |||||||||
| Key words: | |||||||||
| approximately convex function, equi-subdifferentiability, monotonicity, nonsmooth analysis, normal, semi-monotonicity, subdifferential, uniform subdifferentiability | |||||||||
| Mathematices Subject Classification: 49J52, 46N10, 46T20 | |||||||||
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| Abstract: | |||
| A whole spectrum of subdifferentiability properties is delineated in which various degrees of uniformity are present. Related properties are introduced for sets. Some characterizations in terms of monotonicity properties are displayed. | |||
| A proximity control algorithm to minimize nonsmooth and nonconvex functions | ||