Luo, Honglin; Wang, Xianfu; Yang, Xinmin Various notions of nonexpansiveness coincide for proximal mappings of functions. (English) Zbl 07809686 SIAM J. Optim. 34, No. 1, 642-653 (2024). MSC: 49J53 46N10 47H09 47H05 26B25 PDFBibTeX XMLCite \textit{H. Luo} et al., SIAM J. Optim. 34, No. 1, 642--653 (2024; Zbl 07809686) Full Text: DOI
Bauschke, Heinz H.; Singh, Shambhavi; Wang, Xianfu On Carlier’s inequality. (English) Zbl 07733430 J. Convex Anal. 30, No. 2, 499-514 (2023). Reviewer: Radu Ioan Boţ (Wien) MSC: 47H05 26B25 26D07 90C25 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., J. Convex Anal. 30, No. 2, 499--514 (2023; Zbl 07733430) Full Text: arXiv Link
Bauschke, Heinz H.; Krishan Lal, Manish; Wang, Xianfu Directional asymptotics of Fejér monotone sequences. (English) Zbl 1515.90098 Optim. Lett. 17, No. 3, 531-544 (2023). MSC: 90C25 47H09 47J26 47H05 65K10 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Optim. Lett. 17, No. 3, 531--544 (2023; Zbl 1515.90098) Full Text: DOI arXiv
Bauschke, Heinz H.; Ouyang, Hui; Wang, Xianfu Best approximation mappings in Hilbert spaces. (English) Zbl 1504.90196 Math. Program. 195, No. 1-2 (A), 855-901 (2022). MSC: 90C48 90C25 41A50 65B99 46B04 41A65 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Math. Program. 195, No. 1--2 (A), 855--901 (2022; Zbl 1504.90196) Full Text: DOI arXiv
Bauschke, Heinz H.; Wang, Xianfu Roots of the identity operator and proximal mappings: (classical and phantom) cycles and gap vectors. (English) Zbl 1509.46015 Proc. Am. Math. Soc. 150, No. 12, 5383-5395 (2022). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46C05 47H05 52A41 47H10 49J53 90C25 PDFBibTeX XMLCite \textit{H. H. Bauschke} and \textit{X. Wang}, Proc. Am. Math. Soc. 150, No. 12, 5383--5395 (2022; Zbl 1509.46015) Full Text: DOI arXiv
Wang, Xianfu; Bauschke, Heinz H. The Bregman proximal average. (English) Zbl 1501.49013 SIAM J. Optim. 32, No. 2, 1379-1401 (2022). MSC: 49J53 26B25 26E60 47H05 90C26 52A01 PDFBibTeX XMLCite \textit{X. Wang} and \textit{H. H. Bauschke}, SIAM J. Optim. 32, No. 2, 1379--1401 (2022; Zbl 1501.49013) Full Text: DOI arXiv
Alwadani, Salihah; Bauschke, Heinz H.; Revalski, Julian P.; Wang, Xianfu The difference vectors for convex sets and a resolution of the geometry conjecture. (English) Zbl 1508.46015 OJMO, Open J. Math. Optim. 2, Article No. 5, 18 p. (2021). MSC: 46C05 46C07 49J35 46A22 47H05 47H10 PDFBibTeX XMLCite \textit{S. Alwadani} et al., OJMO, Open J. Math. Optim. 2, Article No. 5, 18 p. (2021; Zbl 1508.46015) Full Text: DOI arXiv
Bauschke, Heinz H.; Moursi, Walaa M.; Wang, Xianfu Generalized monotone operators and their averaged resolvents. (English) Zbl 1515.47068 Math. Program. 189, No. 1-2 (B), 55-74 (2021). MSC: 47H05 47H09 49N15 90C25 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Math. Program. 189, No. 1--2 (B), 55--74 (2021; Zbl 1515.47068) Full Text: DOI arXiv
Alwadani, Salihah; Bauschke, Heinz; Wang, Xianfu Attouch-Théra duality, generalized cycles, and gap vectors. (English) Zbl 07384486 SIAM J. Optim. 31, No. 3, 1926-1946 (2021). MSC: 47H05 49J53 47H09 47N10 49N15 47A06 47J25 90C25 PDFBibTeX XMLCite \textit{S. Alwadani} et al., SIAM J. Optim. 31, No. 3, 1926--1946 (2021; Zbl 07384486) Full Text: DOI arXiv
Alwadani, Salihah; Bauschke, Heinz H.; Revalski, Julian P.; Wang, Xianfu Resolvents and Yosida approximations of displacement mappings of isometries. (English) Zbl 1487.47080 Set-Valued Var. Anal. 29, No. 3, 721-733 (2021). MSC: 47H05 47H09 47A06 90C25 PDFBibTeX XMLCite \textit{S. Alwadani} et al., Set-Valued Var. Anal. 29, No. 3, 721--733 (2021; Zbl 1487.47080) Full Text: DOI arXiv
Chen, J.; Wang, X.; Planiden, C. A proximal average for prox-bounded functions. (English) Zbl 1441.49022 SIAM J. Optim. 30, No. 2, 1366-1390 (2020). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 49J53 49J52 47H04 47H05 26A51 26E60 90C30 PDFBibTeX XMLCite \textit{J. Chen} et al., SIAM J. Optim. 30, No. 2, 1366--1390 (2020; Zbl 1441.49022) Full Text: DOI arXiv
Bauschke, Heinz H.; Moursi, Walaa M.; Wang, Xianfu Maximally monotone operators with ranges whose closures are not convex and an answer to a recent question by Stephen Simons. (English) Zbl 1437.47023 Proc. Am. Math. Soc. 148, No. 5, 2035-2044 (2020). Reviewer: Sorin-Mihai Grad (Wien) MSC: 47H05 46B20 47A05 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Proc. Am. Math. Soc. 148, No. 5, 2035--2044 (2020; Zbl 1437.47023) Full Text: DOI arXiv
Luo, Honglin; Wang, Xianfu; Lukens, Brett Variational analysis on the signed distance functions. (English) Zbl 1409.49015 J. Optim. Theory Appl. 180, No. 3, 751-774 (2019). MSC: 49J53 47H04 47N10 49J52 PDFBibTeX XMLCite \textit{H. Luo} et al., J. Optim. Theory Appl. 180, No. 3, 751--774 (2019; Zbl 1409.49015) Full Text: DOI
Bauschke, Heinz H.; Schaad, Jason; Wang, Xianfu On Douglas-Rachford operators that fail to be proximal mappings. (English) Zbl 1514.47092 Math. Program. 168, No. 1-2 (B), 55-61 (2018). MSC: 47J25 47H09 47H05 90C25 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Math. Program. 168, No. 1--2 (B), 55--61 (2018; Zbl 1514.47092) Full Text: DOI arXiv
Bartz, Sedi; Bauschke, Heinz H.; Wang, Xianfu The resolvent order: a unification of the orders by Zarantonello, by Loewner, and by Moreau. (English) Zbl 1425.47006 SIAM J. Optim. 27, No. 1, 466-477 (2017). MSC: 47H05 47H09 26B25 15B57 47L07 52A41 90C25 PDFBibTeX XMLCite \textit{S. Bartz} et al., SIAM J. Optim. 27, No. 1, 466--477 (2017; Zbl 1425.47006) Full Text: DOI arXiv
Moffat, Sarah M.; Moursi, Walaa M.; Wang, Xianfu Nearly convex sets: fine properties and domains or ranges of subdifferentials of convex functions. (English) Zbl 1355.52005 Math. Program. 160, No. 1-2 (A), 193-223 (2016). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 52A41 26A51 47H05 47H04 52A30 PDFBibTeX XMLCite \textit{S. M. Moffat} et al., Math. Program. 160, No. 1--2 (A), 193--223 (2016; Zbl 1355.52005) Full Text: DOI arXiv
Bauschke, Heinz H.; Bello Cruz, Yunier Y.; Nghia, Tran T. A.; Pha, Hung M.; Wang, Xianfu Optimal rates of linear convergence of relaxed alternating projections and generalized Douglas-Rachford methods for two subspaces. (English) Zbl 1351.65022 Numer. Algorithms 73, No. 1, 33-76 (2016). Reviewer: Hang Lau (Montréal) MSC: 65F10 65K05 65F15 90C25 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Numer. Algorithms 73, No. 1, 33--76 (2016; Zbl 1351.65022) Full Text: DOI
Planiden, C.; Wang, Xianfu Strongly convex functions, Moreau envelopes, and the generic nature of convex functions with strong minimizers. (English) Zbl 1347.49023 SIAM J. Optim. 26, No. 2, 1341-1364 (2016). MSC: 49J52 49J45 49J99 49K40 52A41 54E52 PDFBibTeX XMLCite \textit{C. Planiden} and \textit{X. Wang}, SIAM J. Optim. 26, No. 2, 1341--1364 (2016; Zbl 1347.49023) Full Text: DOI arXiv
Bartz, Sedi; Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu The resolvent average of monotone operators: dominant and recessive properties. (English) Zbl 1357.47053 SIAM J. Optim. 26, No. 1, 602-634 (2016). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 47H05 52A41 15A09 26A51 26B25 26E60 47H09 47A63 PDFBibTeX XMLCite \textit{S. Bartz} et al., SIAM J. Optim. 26, No. 1, 602--634 (2016; Zbl 1357.47053) Full Text: DOI arXiv
Simons, Stephen; Wang, Xianfu Ubiquitous subdifferentials, \(r_L\)-density and maximal monotonicity. (English) Zbl 1333.49032 Set-Valued Var. Anal. 23, No. 4, 631-642 (2015). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 49J52 49J53 47H04 47H05 65K10 PDFBibTeX XMLCite \textit{S. Simons} and \textit{X. Wang}, Set-Valued Var. Anal. 23, No. 4, 631--642 (2015; Zbl 1333.49032) Full Text: DOI arXiv
Wang, Xianfu; Yang, Xinmin On the existence of minimizers of proximity functions for split feasibility problems. (English) Zbl 1327.90226 J. Optim. Theory Appl. 166, No. 3, 861-888 (2015). MSC: 90C25 65K10 47H04 90C30 47H10 PDFBibTeX XMLCite \textit{X. Wang} and \textit{X. Yang}, J. Optim. Theory Appl. 166, No. 3, 861--888 (2015; Zbl 1327.90226) Full Text: DOI
Bauschke, Heinz H.; Wang, Caifang; Wang, Xianfu; Xu, Jia On the finite convergence of a projected cutter method. (English) Zbl 1353.90108 J. Optim. Theory Appl. 165, No. 3, 901-916 (2015). Reviewer: Juan-Enrique Martínez-Legaz (Barcelona) MSC: 90C25 47H04 47H05 47H09 65K10 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., J. Optim. Theory Appl. 165, No. 3, 901--916 (2015; Zbl 1353.90108) Full Text: DOI arXiv
Bauschke, Heinz H.; Wang, Caifang; Wang, Xianfu; Xu, Jia On subgradient projectors. (English) Zbl 1316.47043 SIAM J. Optim. 25, No. 2, 1064-1082 (2015). MSC: 47H05 47H09 47N10 49J50 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., SIAM J. Optim. 25, No. 2, 1064--1082 (2015; Zbl 1316.47043) Full Text: DOI arXiv
Bauschke, Heinz H.; Phan, Hung M.; Wang, Xianfu The method of alternating relaxed projections for two nonconvex sets. (English) Zbl 1312.65092 Vietnam J. Math. 42, No. 4, 421-450 (2014). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C26 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Vietnam J. Math. 42, No. 4, 421--450 (2014; Zbl 1312.65092) Full Text: DOI arXiv
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin Rectangularity and paramonotonicity of maximally monotone operators. (English) Zbl 06315981 Optimization 63, No. 4, 487-504 (2014). MSC: 47H05 47A06 47B25 47H09 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Optimization 63, No. 4, 487--504 (2014; Zbl 06315981) Full Text: DOI arXiv
Wang, Xianfu Most maximally monotone operators have a unique zero and a super-regular resolvent. (English) Zbl 1300.47058 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 87, 69-82 (2013). Reviewer: Yuqiang Feng (Wuhan) MSC: 47H05 47H10 54E52 47H09 54E50 PDFBibTeX XMLCite \textit{X. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 87, 69--82 (2013; Zbl 1300.47058) Full Text: DOI arXiv
Wang, Xianfu; Yao, Liangjin Maximally monotone linear subspace extensions of monotone subspaces: explicit constructions and characterizations. (English) Zbl 1273.47082 Math. Program. 139, No. 1-2 (B), 327-352 (2013). Reviewer: K. C. Sivakumar (Chennai) MSC: 47H05 47B65 47A06 49N15 PDFBibTeX XMLCite \textit{X. Wang} and \textit{L. Yao}, Math. Program. 139, No. 1--2 (B), 327--352 (2013; Zbl 1273.47082) Full Text: DOI arXiv
Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu Near equality, near convexity, sums of maximally monotone operators, and averages of firmly nonexpansive mappings. (English) Zbl 1321.47113 Math. Program. 139, No. 1-2 (B), 55-70 (2013). Reviewer: Orestes Bueno (Lima) MSC: 47H05 47H09 47H10 52A20 90C25 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Math. Program. 139, No. 1--2 (B), 55--70 (2013; Zbl 1321.47113) Full Text: DOI arXiv
Bauschke, Heinz H.; Martín-Márquez, Victoria; Moffat, Sarah M.; Wang, Xianfu Compositions and convex combinations of asymptotically regular firmly nonexpansive mappings are also asymptotically regular. (English) Zbl 1300.47056 Fixed Point Theory Appl. 2012, Paper No. 53, 11 p. (2012). Reviewer: Vasile Berinde (Baia Mare) MSC: 47H05 47H09 47H10 90C25 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Fixed Point Theory Appl. 2012, Paper No. 53, 11 p. (2012; Zbl 1300.47056) Full Text: DOI arXiv
Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu; Yao, Liangjin Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type. (English) Zbl 1319.90077 Optim. Lett. 6, No. 8, 1875-1881 (2012). Reviewer: Oganeditse A. Boikanyo (Gaborone) MSC: 90C48 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Optim. Lett. 6, No. 8, 1875--1881 (2012; Zbl 1319.90077) Full Text: DOI arXiv
Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu; Yao, Liangjin Construction of pathological maximally monotone operators on non-reflexive Banach spaces. (English) Zbl 1267.47003 Set-Valued Var. Anal. 20, No. 3, 387-415 (2012). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 47A06 47H05 47B65 47N10 90C25 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Set-Valued Var. Anal. 20, No. 3, 387--415 (2012; Zbl 1267.47003) Full Text: DOI arXiv
Bauschke, Heinz H.; Borwein, Jonathan M.; Wang, Xianfu; Yao, Liangjin The Brezis-Browder theorem in a general Banach space. (English) Zbl 1259.47065 J. Funct. Anal. 262, No. 12, 4948-4971 (2012). Reviewer: Rita Pini (Milano) MSC: 47H05 47H04 49N15 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., J. Funct. Anal. 262, No. 12, 4948--4971 (2012; Zbl 1259.47065) Full Text: DOI arXiv
Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu Firmly nonexpansive mappings and maximally monotone operators: correspondence and duality. (English) Zbl 1263.47066 Set-Valued Var. Anal. 20, No. 1, 131-153 (2012). Reviewer: Rita Pini (Milano) MSC: 47H09 47H05 90C25 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Set-Valued Var. Anal. 20, No. 1, 131--153 (2012; Zbl 1263.47066) Full Text: DOI arXiv
Wang, Xianfu; Bauschke, Heinz H. Compositions and averages of two resolvents: relative geometry of fixed points sets and a partial answer to a question by C.Byrne. (English) Zbl 1228.47052 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 13, 4550-4572 (2011). Reviewer: Nicolas Hadjisavvas (Hermoupolis) MSC: 47H05 47H09 26B25 47H10 47J25 90C25 PDFBibTeX XMLCite \textit{X. Wang} and \textit{H. H. Bauschke}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 13, 4550--4572 (2011; Zbl 1228.47052) Full Text: DOI arXiv
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin Examples of discontinuous maximal monotone linear operators and the solution to a recent problem posed by B.F. Svaiter. (English) Zbl 1197.47009 J. Math. Anal. Appl. 370, No. 1, 224-241 (2010). MSC: 47A06 47H05 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., J. Math. Anal. Appl. 370, No. 1, 224--241 (2010; Zbl 1197.47009) Full Text: DOI arXiv
Bauschke, Heinz H.; Macklem, Mason S.; Sewell, Jason B.; Wang, Xianfu Klee sets and Chebyshev centers for the right Bregman distance. (English) Zbl 1200.52006 J. Approx. Theory 162, No. 6, 1225-1244 (2010). Reviewer: Do Van Luu (Hanoi) MSC: 52A41 26B25 90C26 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., J. Approx. Theory 162, No. 6, 1225--1244 (2010; Zbl 1200.52006) Full Text: DOI arXiv
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin Autoconjugate representers for linear monotone operators. (English) Zbl 1185.47050 Math. Program. 123, No. 1 (B), 5-24 (2010). MSC: 47H05 47N10 52A41 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Math. Program. 123, No. 1 (B), 5--24 (2010; Zbl 1185.47050) Full Text: DOI arXiv
Bauschke, Heinz H.; Wang, Xianfu The kernel average for two convex functions and its application to the extension and representation of monotone operators. (English) Zbl 1189.47051 Trans. Am. Math. Soc. 361, No. 11, 5947-5965 (2009). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 47H05 52A41 PDFBibTeX XMLCite \textit{H. H. Bauschke} and \textit{X. Wang}, Trans. Am. Math. Soc. 361, No. 11, 5947--5965 (2009; Zbl 1189.47051) Full Text: DOI
Bauschke, Heinz H.; Wang, Xianfu; Yao, Liangjin An answer to S. Simons’ question on the maximal monotonicity of the sum of a maximal monotone linear operator and a normal cone operator. (English) Zbl 1198.47070 Set-Valued Var. Anal. 17, No. 2, 195-201 (2009). Reviewer: Regina Sandra Burachik (Adelaide) MSC: 47H05 47A06 47B65 49N15 52A41 90C25 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., Set-Valued Var. Anal. 17, No. 2, 195--201 (2009; Zbl 1198.47070) Full Text: DOI arXiv
Bauschke, Heinz H.; Wang, Xianfu; Ye, Jane; Yuan, Xiaoming Bregman distances and Chebyshev sets. (English) Zbl 1175.49017 J. Approx. Theory 159, No. 1, 3-25 (2009). Reviewer: T. D. Narang (Amritsar) MSC: 49J52 52A20 47N10 47H05 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., J. Approx. Theory 159, No. 1, 3--25 (2009; Zbl 1175.49017) Full Text: DOI arXiv
Bauschke, Heinz H.; Wang, Xianfu; Ye, Jane; Yuan, Xiaoming Bregman distances and Klee sets. (English) Zbl 1172.52005 J. Approx. Theory 158, No. 2, 170-183 (2009). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 52A20 46N10 52A41 47H05 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., J. Approx. Theory 158, No. 2, 170--183 (2009; Zbl 1172.52005) Full Text: DOI arXiv
Bauschke, Heinz H.; Wang, Xianfu An explicit example of a maximal 3-cyclically monotone operator with bizarre properties. (English) Zbl 1170.47033 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 9, 2875-2891 (2008). MSC: 47H05 90C25 47N10 49J53 PDFBibTeX XMLCite \textit{H. H. Bauschke} and \textit{X. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 9, 2875--2891 (2008; Zbl 1170.47033) Full Text: DOI
Bartz, Sedi; Bauschke, Heinz H.; Borwein, Jonathan M.; Reich, Simeon; Wang, Xianfu Fitzpatrick functions, cyclic monotonicity and Rockafellar’s antiderivative. (English) Zbl 1119.47050 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 5, 1198-1223 (2007). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 47H05 52A41 47N10 49J53 90C25 PDFBibTeX XMLCite \textit{S. Bartz} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 5, 1198--1223 (2007; Zbl 1119.47050) Full Text: DOI
Wang, Xianfu Asplund sets, differentiability and subdifferentiability of functions in Banach spaces. (English) Zbl 1122.46022 J. Math. Anal. Appl. 323, No. 2, 1417-1429 (2006). Reviewer: Gilles Godefroy (Paris) MSC: 46G05 46T20 46B20 46B22 49J50 PDFBibTeX XMLCite \textit{X. Wang}, J. Math. Anal. Appl. 323, No. 2, 1417--1429 (2006; Zbl 1122.46022) Full Text: DOI
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, Jonathan M.; Moors, Warren B.; Wang, Xianfu Generalized subdifferentials: a Baire categorical approach. (English) Zbl 0979.49016 Trans. Am. Math. Soc. 353, No. 10, 3875-3893 (2001). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 49J52 54E52 PDFBibTeX XMLCite \textit{J. M. Borwein} et al., Trans. Am. Math. Soc. 353, No. 10, 3875--3893 (2001; Zbl 0979.49016) Full Text: DOI
Wang, Xianfu The subdifferentiability properties of typical functions in \(C[0,1]\). (English) Zbl 0896.49008 J. Math. Anal. Appl. 218, No. 2, 621-631 (1998). Reviewer: J.Thierfelder (Ilmenau) MSC: 49J52 26A27 26A30 PDFBibTeX XMLCite \textit{X. Wang}, J. Math. Anal. Appl. 218, No. 2, 621--631 (1998; Zbl 0896.49008) Full Text: DOI
Borwein, J. M.; Wang, Xianfu Distinct differentiable functions may share the same Clarke subdifferential at all points. (English) Zbl 0883.49014 Proc. Am. Math. Soc. 125, No. 3, 807-813 (1997). Reviewer: J.Thierfelder (Ilmenau) MSC: 49J52 26A27 26A24 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{X. Wang}, Proc. Am. Math. Soc. 125, No. 3, 807--813 (1997; Zbl 0883.49014) Full Text: DOI
Borwein, Jonathan M.; Moors, Warren B.; Wang, Xianfu Lipschitz functions with prescribed derivatives and subderivatives. (English) Zbl 0894.49012 Nonlinear Anal., Theory Methods Appl. 29, No. 1, 53-63 (1997). Reviewer: J.Thierfelder (Ilmenau) MSC: 49J52 26A24 26A27 26B05 47H05 PDFBibTeX XMLCite \textit{J. M. Borwein} et al., Nonlinear Anal., Theory Methods Appl. 29, No. 1, 53--63 (1997; Zbl 0894.49012) 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