Planiden, C.; Wang, X. Proximal mappings and Moreau envelopes of single-variable convex piecewise cubic functions and multivariable gauge functions. (English) Zbl 1423.49015 Hosseini, Seyedehsomayeh (ed.) et al., Nonsmooth optimization and its applications. Based on the workshop “Nonsmooth Optimization and its Applications”, Bonn, Germany, May 15–19, 2017. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 170, 89-130 (2019). Reviewer: Sorin-Mihai Grad (Vienna) MSC: 49J53 52A41 49J50 26C05 26B25 PDFBibTeX XMLCite \textit{C. Planiden} and \textit{X. Wang}, ISNM, Int. Ser. Numer. Math. 170, 89--130 (2019; Zbl 1423.49015) Full Text: DOI arXiv
Bauschke, Heinz H.; Wang, Caifang; Wang, Xianfu; Xu, Jia Subgradient projectors: extensions, theory, and characterizations. (English) Zbl 1422.49014 Set-Valued Var. Anal. 26, No. 4, 1009-1078 (2018). Reviewer: Gerhard-Wilhelm Weber (Poznań and Ankara) with Nadi Serhan Aydın (Istanbul) MSC: 49J52 49J53 47H04 47H05 47H09 49S05 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Set-Valued Var. Anal. 26, No. 4, 1009--1078 (2018; Zbl 1422.49014) Full Text: DOI
Planiden, Chayne; Wang, Xianfu Epi-convergence: the Moreau envelope and generalized linear-quadratic functions. (English) Zbl 1507.47006 J. Optim. Theory Appl. 177, No. 1, 21-63 (2018). MSC: 47A06 52A41 47H05 90C31 PDFBibTeX XMLCite \textit{C. Planiden} and \textit{X. Wang}, J. Optim. Theory Appl. 177, No. 1, 21--63 (2018; Zbl 1507.47006) Full Text: DOI arXiv
Loewen, Philip D.; Wang, Xianfu On the multiplicity of Dini subgradients in separable spaces. (English) Zbl 1046.49010 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 58, No. 1-2, 1-10 (2004). MSC: 49J52 49J50 46G05 PDFBibTeX XMLCite \textit{P. D. Loewen} and \textit{X. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 58, No. 1--2, 1--10 (2004; Zbl 1046.49010) Full Text: DOI
Borwein, D.; Borwein, J. M.; Wang, Xianfu Approximate subgradients and coderivatives in \(R^ n\). (English) Zbl 0865.49016 Set-Valued Anal. 4, No. 4, 375-398 (1996). MSC: 49J52 26A27 26B12 49J50 52A20 PDFBibTeX XMLCite \textit{D. Borwein} et al., Set-Valued Anal. 4, No. 4, 375--398 (1996; Zbl 0865.49016) Full Text: DOI