Borwein, Jonathan M.; Zhu, Qiji J. A variational approach to Lagrange multipliers. (English) Zbl 1354.90091 J. Optim. Theory Appl. 171, No. 3, 727-756 (2016). MSC: 90C25 90C46 49N15 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{Q. J. Zhu}, J. Optim. Theory Appl. 171, No. 3, 727--756 (2016; Zbl 1354.90091) Full Text: DOI
Borwein, Jonathan M.; Burachik, Regina S.; Yao, Liangjin Conditions for zero duality gap in convex programming. (English) Zbl 1301.49035 J. Nonlinear Convex Anal. 15, No. 1, 167-190 (2014). Reviewer: Christian Clason (Graz) MSC: 49J52 49N15 49J53 90C25 90C30 90C46 PDFBibTeX XMLCite \textit{J. M. Borwein} et al., J. Nonlinear Convex Anal. 15, No. 1, 167--190 (2014; Zbl 1301.49035) Full Text: arXiv Link
Borwein, Jonathan M.; Zhu, Qiji J. Variational methods in the presence of symmetry. (English) Zbl 1277.49018 Adv. Nonlinear Anal. 2, No. 3, 271-307 (2013). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 49J52 46N10 58J70 58E30 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{Q. J. Zhu}, Adv. Nonlinear Anal. 2, No. 3, 271--307 (2013; Zbl 1277.49018) Full Text: DOI Link
Borwein, Jonathan; Vanderwerff, Jon Differentiability of conjugate functions and perturbed minimization principles. (English) Zbl 1187.49009 J. Convex Anal. 16, No. 3-4, 707-711 (2009). MSC: 49J50 46G05 46N10 90C25 49J52 PDFBibTeX XMLCite \textit{J. Borwein} and \textit{J. Vanderwerff}, J. Convex Anal. 16, No. 3--4, 707--711 (2009; Zbl 1187.49009) Full Text: Link
Borwein, Jonathan M. Maximal monotonicity via convex analysis. (English) Zbl 1111.47042 J. Convex Anal. 13, No. 3-4, 561-586 (2006). MSC: 47H05 46N10 49J52 PDFBibTeX XMLCite \textit{J. M. Borwein}, J. Convex Anal. 13, No. 3--4, 561--586 (2006; Zbl 1111.47042) Full Text: Link
Borwein, Jonathan; Cheng, Lixin; Fabian, Marían; Revalski, Julian P. A one perturbation variational principle and applications. (English) Zbl 1047.49022 Set-Valued Anal. 12, No. 1-2, 49-60 (2004). MSC: 49J53 49J52 49J50 49K40 PDFBibTeX XMLCite \textit{J. Borwein} et al., Set-Valued Anal. 12, No. 1--2, 49--60 (2004; Zbl 1047.49022) Full Text: DOI
Borwein, J. M.; Vanderwerff, J. D. Convex functions of Legendre type in general Banach spaces. (English) Zbl 1015.49017 J. Convex Anal. 8, No. 2, 569-581 (2001). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 49J52 46B20 49J50 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{J. D. Vanderwerff}, J. Convex Anal. 8, No. 2, 569--581 (2001; Zbl 1015.49017)
Borwein, Jonathan M.; Moors, Warren B. Separable determination of integrability and minimality of the Clarke subdifferential mapping. (English) Zbl 0937.49009 Proc. Am. Math. Soc. 128, No. 1, 215-221 (2000). Reviewer: J.Thierfelder (Ilmenau) MSC: 49J52 46G05 49J50 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{W. B. Moors}, Proc. Am. Math. Soc. 128, No. 1, 215--221 (2000; Zbl 0937.49009) Full Text: DOI
Borwein, Jonathan M.; Zhu, Qiji J. Limiting convex examples for nonconvex subdifferential calculus. (English) Zbl 0916.49014 J. Convex Anal. 5, No. 2, 221-235 (1998). Reviewer: J.Thierfelder (Ilmenau) MSC: 49J52 26E15 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{Q. J. Zhu}, J. Convex Anal. 5, No. 2, 221--235 (1998; Zbl 0916.49014) Full Text: EuDML
Borwein, Jonathan M.; Moors, Warren B. Null sets and essentially smooth Lipschitz functions. (English) Zbl 0921.49006 SIAM J. Optim. 8, No. 2, 309-323 (1998). Reviewer: X.Q.Yang (Nedlands) MSC: 49J52 58C20 46N10 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{W. B. Moors}, SIAM J. Optim. 8, No. 2, 309--323 (1998; Zbl 0921.49006) Full Text: DOI
Borwein, Jonathan M.; Treiman, Jay S.; Zhu, Qiji J. Necessary conditions for constrained optimization problems with semicontinuous and continuous data. (English) Zbl 0924.49015 Trans. Am. Math. Soc. 350, No. 6, 2409-2429 (1998). Reviewer: Philip Loewen (Vancouver) MSC: 49J52 49J50 58C20 PDFBibTeX XMLCite \textit{J. M. Borwein} et al., Trans. Am. Math. Soc. 350, No. 6, 2409--2429 (1998; Zbl 0924.49015) Full Text: DOI
Borwein, Jonathan M.; Moors, Warren B. Essentially smooth Lipschitz functions. (English) Zbl 0896.49007 J. Funct. Anal. 149, No. 2, 305-351 (1997). Reviewer: J.Thierfelder (Ilmenau) MSC: 49J52 49J27 49J50 46G05 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{W. B. Moors}, J. Funct. Anal. 149, No. 2, 305--351 (1997; Zbl 0896.49007) 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
Borwein, Jonathan M.; Zhu, Qiji J. Viscosity solutions and viscosity subderivatives in smooth Banach spaces with applications to metric regularity. (English) Zbl 0882.49020 SIAM J. Control Optimization 34, No. 5, 1568-1591 (1996). Reviewer: M.Degiovanni (Brescia) MSC: 49L25 49J52 49J50 58C20 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{Q. J. Zhu}, SIAM J. Control Optim. 34, No. 5, 1568--1591 (1996; Zbl 0882.49020) Full Text: DOI
Borwein, Jonathan M.; Ioffe, Alexander Proximal analysis in smooth spaces. (English) Zbl 0858.49015 Set-Valued Anal. 4, No. 1, 1-24 (1996). Reviewer: J.Thierfelder (Ilmenau) MSC: 49J52 49J50 58C20 26B05 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{A. Ioffe}, Set-Valued Anal. 4, No. 1, 1--24 (1996; Zbl 0858.49015) Full Text: DOI
Borwein, Jonathan; Fitzpatrick, Simon Weak* sequential compactness and bornological limit derivatives. (English) Zbl 0837.49015 J. Convex Anal. 2, No. 1-2, 59-67 (1995). Reviewer: J.Thierfelder (Ilmenau) MSC: 49J52 49J50 46G05 26E15 58C20 46A17 PDFBibTeX XMLCite \textit{J. Borwein} and \textit{S. Fitzpatrick}, J. Convex Anal. 2, No. 1--2, 59--67 (1995; Zbl 0837.49015) Full Text: EuDML EMIS
Borwein, Jon; Fitzpatrick, Simon; Vanderwerff, Jon Examples of convex functions and classifications of normed spaces. (English) Zbl 0823.46005 J. Convex Anal. 1, No. 1, 61-73 (1994). MSC: 46A17 46N10 49J52 46B20 52A41 46G05 PDFBibTeX XMLCite \textit{J. Borwein} et al., J. Convex Anal. 1, No. 1, 61--73 (1994; Zbl 0823.46005) Full Text: EuDML EMIS
Borwein, J. M.; Preiss, D. A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions. (English) Zbl 0632.49008 Trans. Am. Math. Soc. 303, 517-527 (1987). Reviewer: S.Tersian MSC: 49J52 49J50 58C20 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{D. Preiss}, Trans. Am. Math. Soc. 303, 517--527 (1987; Zbl 0632.49008) Full Text: DOI
Borwein, J. M.; Giles, J. R. The proximal normal formula in Banach space. (English) Zbl 0632.49007 Trans. Am. Math. Soc. 302, 371-381 (1987). Reviewer: P.Loewen MSC: 49J52 46B20 49J50 46G05 90C30 90C48 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{J. R. Giles}, Trans. Am. Math. Soc. 302, 371--381 (1987; Zbl 0632.49007) Full Text: DOI