Continuous Fréchet Differentiability of the Moreau Envelope of Convex Functions on Banach Spaces

Author:

Khanh Pham DuyORCID,Nguyen Bao Tran

Funder

Ho Chi Minh City University of Education Foundation for Science and Technology

National Foundation for Science and Technology Development

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Reference15 articles.

1. Lecture Notes in Mathematics;B Andrews,2011

2. Bauschke, H.H., Combettes, P.L.: Convex Analysis and Monotone Operator Theory in Hilbert Spaces. Springer, New York (2011)

3. Bonnans, J.F., Shapiro, A.: Perturbation Analysis of Optimization Problems. Springer, New York (2000)

4. Brezis, H.: Functional Analysis. Sobolev Spaces and Partial Differential Equations. Springer, Cham (2010)

5. Chen, Y., Kan, C., Song, W.: The Moreau envelope function and proximal mapping with respect to the Bregman distances in Banach spaces. Vietnam J. Math. 40, 181–199 (2012)

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