| Mohamed Muhumed Hassan, Refail Kasimbeyli Radial Epiderivative Calculus: Explicit Formulas for Structured Nonsmooth Functions |
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| Abstract. This paper develops the concept of the radial epiderivative for general nonsmooth, nonconvex functions, extending classical directional derivatives to broader settings. We derive explicit formulas for radial epiderivatives of classes of structured nonsmooth functions. These constructive results deepen theoretical understanding of nonsmooth analysis and provide a foundation for algorithmic development in nonsmooth and nonconvex optimization. |
| Keywords: radial epiderivative, structured nonsmooth functions, nonconvex optimization, generalized differentiation |
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