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Abstract
Abstract
In this paper, we study characterizations of differentiability for real-valued functions based on generalized differentiation. These characterizations provide the mathematical foundation for Nesterov's smoothing techniques in infinite dimensions. As an application, we provide a simple approach to image reconstructions based on Nesterov's smoothing and algorithms for minimizing differences of convex (DC) functions that involve the 
regularization.
Keywords:
Acknowledgements
Part of this work was done during the first author's visit to the Vietnam Institute for Advanced Study in Mathematics (VIASM). He would like to thank the VIASM and Prof. Nguyen Dong Yen for the hospitality and support.
Disclosure statement
No potential conflict of interest was reported by the authors.