Cuong, Dang Van; Mordukhovich, Boris S.; Nam, Nguyen Mau; Sandine, Gary Revisiting Rockafellar’s theorem on relative interiors of convex graphs with applications to convex generalized differentiation. (English) Zbl 1525.49013 J. Convex Anal. 30, No. 3, 835-850 (2023). Reviewer: Fabio Vito Difonzo (Bari) MSC: 49J52 49J53 90C31 PDFBibTeX XMLCite \textit{D. Van Cuong} et al., J. Convex Anal. 30, No. 3, 835--850 (2023; Zbl 1525.49013) Full Text: arXiv Link
Mordukhovich, Boris; Nam, Nguyen Mau An easy path to convex analysis and applications. 2nd edition. (English) Zbl 1515.49004 Synthesis Lectures on Mathematics & Statistics. Cham: Springer (ISBN 978-3-031-26457-3/hbk; 978-3-031-26460-3/pbk; 978-3-031-26458-0/ebook). xx, 300 p. (2023). MSC: 49-01 49J52 90-01 90C25 90C90 PDFBibTeX XMLCite \textit{B. Mordukhovich} and \textit{N. M. Nam}, An easy path to convex analysis and applications. 2nd edition. Cham: Springer (2023; Zbl 1515.49004) Full Text: DOI
Mordukhovich, Boris S.; Pérez-Aros, Pedro Generalized sequential differential calculus for expected-integral functionals. (English) Zbl 1472.49036 Set-Valued Var. Anal. 29, No. 3, 621-644 (2021). Reviewer: Giovanni Colombo (Padova) MSC: 49J53 90C15 49J52 PDFBibTeX XMLCite \textit{B. S. Mordukhovich} and \textit{P. Pérez-Aros}, Set-Valued Var. Anal. 29, No. 3, 621--644 (2021; Zbl 1472.49036) Full Text: DOI arXiv
Hosseini, Seyedehsomayeh (ed.); Mordukhovich, Boris S. (ed.); Uschmajew, André (ed.) Nonsmooth optimization and its applications. Based on the workshop “Nonsmooth Optimization and its Applications”, Bonn, Germany, May 15–19, 2017. (English) Zbl 1417.49001 ISNM. International Series of Numerical Mathematics 170. Cham: Birkhäuser (ISBN 978-3-030-11369-8/hbk; 978-3-030-11370-4/ebook). vii, 149 p. (2019). MSC: 49-06 90-06 49J52 90C56 90C25 00B25 PDFBibTeX XMLCite \textit{S. Hosseini} (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 (2019; Zbl 1417.49001) Full Text: DOI
Mordukhovich, Boris S. Variational analysis and applications. (English) Zbl 1402.49003 Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-319-92773-2/hbk; 978-3-319-92775-6/ebook). xix, 622 p. (2018). Reviewer: Radu Ioan Bot (Wien) MSC: 49-02 49J52 49J53 90C47 91B54 PDFBibTeX XMLCite \textit{B. S. Mordukhovich}, Variational analysis and applications. Cham: Springer (2018; Zbl 1402.49003) Full Text: DOI Backlinks: MO
Mordukhovich, B. S.; Nam, N. M.; Rector, R. B.; Tran, T. Variational geometric approach to generalized differential and conjugate calculi in convex analysis. (English) Zbl 1392.49019 Set-Valued Var. Anal. 25, No. 4, 731-755 (2017). Reviewer: Do Van Luu (Hanoi) MSC: 49J52 49J53 90C31 49J27 PDFBibTeX XMLCite \textit{B. S. Mordukhovich} et al., Set-Valued Var. Anal. 25, No. 4, 731--755 (2017; Zbl 1392.49019) Full Text: DOI arXiv Link
Mordukhovich, Boris S.; Nam, Nguyen Mau Geometric approach to convex subdifferential calculus. (English) Zbl 1402.49014 Optimization 66, No. 6, 839-873 (2017). Reviewer: Ba Khiet Le (Santiago de Chile) MSC: 49J52 93B27 49J53 90C31 PDFBibTeX XMLCite \textit{B. S. Mordukhovich} and \textit{N. M. Nam}, Optimization 66, No. 6, 839--873 (2017; Zbl 1402.49014) Full Text: DOI arXiv Link
Mordukhovich, B. S. Comments on: “Farkas’ lemma: three decades of generalizations for mathematical optimization”. (English) Zbl 1301.49001 Top 22, No. 1, 31-37 (2014). MSC: 49-02 49J52 49J53 90C25 90C34 PDFBibTeX XMLCite \textit{B. S. Mordukhovich}, Top 22, No. 1, 31--37 (2014; Zbl 1301.49001) Full Text: DOI
Mordukhovich, Boris S.; Nam, Nguyen Mau An easy path to convex analysis and applications. (English) Zbl 1284.49002 Synthesis Lectures on Mathematics and Statistics 14. San Rafael, CA: Morgan & Claypool Publishers (ISBN 978-1-62705-237-5/pbk; 978-1-62705-238-2/ebook). xvi, 202 p. (2014). Reviewer: Alberto Seeger (Avignon) MSC: 49-01 49J52 90-01 90C25 90C90 PDFBibTeX XMLCite \textit{B. S. Mordukhovich} and \textit{N. M. Nam}, An easy path to convex analysis and applications. San Rafael, CA: Morgan \& Claypool Publishers (2014; Zbl 1284.49002)
Mordukhovich, B. S.; Rockafellar, R. T. Second-order subdifferential calculus with applications to tilt stability in optimization. (English) Zbl 1260.49022 SIAM J. Optim. 22, No. 3, 953-986 (2012). Reviewer: Vicente Novo Sanjurjo (Madrid) MSC: 49J52 90C30 90C31 PDFBibTeX XMLCite \textit{B. S. Mordukhovich} and \textit{R. T. Rockafellar}, SIAM J. Optim. 22, No. 3, 953--986 (2012; Zbl 1260.49022) Full Text: DOI arXiv
Ginchev, Ivan; Mordukhovich, Boris S. Directional subdifferentials and optimality conditions. (English) Zbl 1254.49007 Positivity 16, No. 4, 707-737 (2012). MSC: 49J52 49J53 90C29 49K27 PDFBibTeX XMLCite \textit{I. Ginchev} and \textit{B. S. Mordukhovich}, Positivity 16, No. 4, 707--737 (2012; Zbl 1254.49007) Full Text: DOI Link
Mordukhovich, Boris S.; Nam, Nguyen Mau; Wang, Bingwu Metric regularity of mappings and generalized normals to set images. (English) Zbl 1218.49023 Set-Valued Var. Anal. 17, No. 4, 359-387 (2009). MSC: 49J52 49J53 46B20 58C20 90C31 PDFBibTeX XMLCite \textit{B. S. Mordukhovich} et al., Set-Valued Var. Anal. 17, No. 4, 359--387 (2009; Zbl 1218.49023) Full Text: DOI Link
Mordukhovich, Boris S. Methods of variational analysis in multiobjective optimization. (English) Zbl 1162.49019 Optimization 58, No. 4, 413-430 (2009). MSC: 49J52 49J53 90C29 PDFBibTeX XMLCite \textit{B. S. Mordukhovich}, Optimization 58, No. 4, 413--430 (2009; Zbl 1162.49019) Full Text: DOI Link
Geremew, W.; Mordukhovich, B. S.; Nam, N. M. Coderivative calculus and metric regularity for constraint and variational systems. (English) Zbl 1160.49014 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 529-552 (2009). MSC: 49J52 49N60 PDFBibTeX XMLCite \textit{W. Geremew} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 529--552 (2009; Zbl 1160.49014) Full Text: DOI
Mordukhovich, Boris S.; Wang, Bingwu Generalized differentiation of parameter-dependent sets and mappings. (English) Zbl 1220.49010 Optimization 57, No. 1, 17-40 (2008). MSC: 49J52 49J53 90C29 PDFBibTeX XMLCite \textit{B. S. Mordukhovich} and \textit{B. Wang}, Optimization 57, No. 1, 17--40 (2008; Zbl 1220.49010) Full Text: DOI Link
Mordukhovich, Boris S.; Nam, Nguyen Mau Exact calculus for proximal subgradients with applications to optimization. (English) Zbl 1235.49033 ESAIM, Proc. 17, 80-95 (2007). MSC: 49J52 PDFBibTeX XMLCite \textit{B. S. Mordukhovich} and \textit{N. M. Nam}, ESAIM, Proc. 17, 80--95 (2007; Zbl 1235.49033) Full Text: DOI
Mordukhovich, B. S.; Nam, N. M.; Yen, N. D. Fréchet subdifferential calculus and optimality conditions in nondifferentiable programming. (English) Zbl 1121.49017 Optimization 55, No. 5-6, 685-708 (2006). Reviewer: Alberto Seeger (Avignon) MSC: 49J52 PDFBibTeX XMLCite \textit{B. S. Mordukhovich} et al., Optimization 55, No. 5--6, 685--708 (2006; Zbl 1121.49017) Full Text: DOI Link
Mordukhovich, Boris S. Variational analysis and generalized differentiation. I: Basic theory. II: Applications. (English) Zbl 1100.49002 Grundlehren der Mathematischen Wissenschaften 330/331. Berlin: Springer (ISBN 3-540-25437-4/hbk; 3-540-25438-2/hbk). xxii, 579 p./v.1, xxii, 610 p./v.2 (2006). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 49-02 49J52 49J53 49K27 49K40 90C31 PDFBibTeX XMLCite \textit{B. S. Mordukhovich}, Variational analysis and generalized differentiation. I: Basic theory. II: Applications. Berlin: Springer (2005; Zbl 1100.49002) Full Text: DOI
Mordukhovich, Boris S. Lipschitzian stability of parametric constraint systems in infinite dimensions. (English) Zbl 1068.49013 Eberhard, Andrew (ed.) et al., Generalized convexity, generalized monotonicity and applications. Proceedings of the 7th international symposium on generalized convexity and generalized monotonicity, Hanoi, Vietnam, August 27–31, 2002. New York, NY: Springer (ISBN 0-387-23638-4/hbk). Nonconvex Optimization and Its Applications 77, 39-59 (2005). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 49J52 58C06 90C31 49J53 26E25 26E15 PDFBibTeX XMLCite \textit{B. S. Mordukhovich}, Nonconvex Optim. Appl. 77, 39--59 (2005; Zbl 1068.49013)
Mordukhovich, Boris S.; Wang, Bingwu Calculus of sequential normal compactness in variational analysis. (English) Zbl 1033.49031 J. Math. Anal. Appl. 282, No. 1, 63-84 (2003). Reviewer: W. Schirotzek (Dresden) MSC: 49J52 PDFBibTeX XMLCite \textit{B. S. Mordukhovich} and \textit{B. Wang}, J. Math. Anal. Appl. 282, No. 1, 63--84 (2003; Zbl 1033.49031) Full Text: DOI
Mordukhovich, Boris S.; Wang, Bingwu Extensions of generalized differential calculus in Asplund spaces. (English) Zbl 1006.49007 J. Math. Anal. Appl. 272, No. 1, 164-186 (2002). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 49J52 49J53 26E15 PDFBibTeX XMLCite \textit{B. S. Mordukhovich} and \textit{B. Wang}, J. Math. Anal. Appl. 272, No. 1, 164--186 (2002; Zbl 1006.49007) Full Text: DOI
Mordukhovich, Boris S.; Outrata, Jirí V. On second-order subdifferentials and their applications. (English) Zbl 1011.49016 SIAM J. Optim. 12, No. 1, 139-169 (2001). Reviewer: W.Schirotzek (Dresden) MSC: 49J52 49J40 74M10 74M15 58C20 PDFBibTeX XMLCite \textit{B. S. Mordukhovich} and \textit{J. V. Outrata}, SIAM J. Optim. 12, No. 1, 139--169 (2001; Zbl 1011.49016) Full Text: DOI
Borwein, Jonathan M.; Mordukhovich, Boris S.; Shao, Yongheng On the equivalence of some basic principles in variational analysis. (English) Zbl 0934.49012 J. Math. Anal. Appl. 229, No. 1, 228-257 (1999). Reviewer: Cristina Marcelli (Perugia) MSC: 49J52 49K27 46G05 PDFBibTeX XMLCite \textit{J. M. Borwein} et al., J. Math. Anal. Appl. 229, No. 1, 228--257 (1999; Zbl 0934.49012) Full Text: DOI Link
Mordukhovich, Boris S. Optimal control of nonconvex discrete and differential inclusions. (English) Zbl 0917.49022 Bank, Bernd (ed.) et al., Proceedings of the 3rd international conference on approximation and optimization in the Caribbean, Puebla, Mexico, October 8–13, 1995. Puebla: Benemérita Universidad Autónoma de Puebla, 25 p. (1997). MSC: 49K24 49J52 49N35 49N99 PDFBibTeX XMLCite \textit{B. S. Mordukhovich}, in: Proceedings of the 3rd international conference on approximation and optimization in the Caribbean, Puebla, Mexico, October 8--13, 1995. Puebla: Benemérita Universidad Autónoma de Puebla. 25 p. (1997; Zbl 0917.49022) Full Text: EMIS
Mordukhovich, Boris S. (ed.); Sussmann, Hector J. (ed.) Nonsmooth analysis and geometric methods in deterministic optimal control. Proceedings of a workshop, Minneapolis, MN, USA, February 1993. (English) Zbl 0844.00033 The IMA Volumes in Mathematics and its Applications. 78. New York, NY: Springer-Verlag. ix, 246 p. (1996). MSC: 00B25 93-06 49-06 PDFBibTeX XMLCite \textit{B. S. Mordukhovich} (ed.) and \textit{H. J. Sussmann} (ed.), Nonsmooth analysis and geometric methods in deterministic optimal control. Proceedings of a workshop, Minneapolis, MN, USA, February 1993. New York, NY: Springer (1996; Zbl 0844.00033)
Mordukhovich, Boris S.; Shao, Yongheng Nonsmooth sequential analysis in Asplund spaces. (English) Zbl 0881.49009 Trans. Am. Math. Soc. 348, No. 4, 1235-1280 (1996). Reviewer: J.Thierfelder (Ilmenau) MSC: 49J52 46B20 58C20 26E15 47A60 PDFBibTeX XMLCite \textit{B. S. Mordukhovich} and \textit{Y. Shao}, Trans. Am. Math. Soc. 348, No. 4, 1235--1280 (1996; Zbl 0881.49009) Full Text: DOI
Mordukhovich, Boris Generalized differentiation and stability of solution maps to parametric variational systems. (English) Zbl 0855.49012 Lakshmikantham, V. (ed.), World congress of nonlinear analysis ’92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 2311-2323 (1996). Reviewer: X.Q.Yang (Nedlands) MSC: 49J52 49J40 PDFBibTeX XMLCite \textit{B. Mordukhovich}, in: World congress of nonlinear analysts '92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 2311--2323 (1996; Zbl 0855.49012)
Mordukhovich, B. Sh. Approximation methods in problems of optimization and control. (Metody approksimatsij v zadachakh optimizatsii i upravleniya). (Russian) Zbl 0643.49001 Moskva: “Nauka”. Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 360 p. R. 5.00 (1988). Reviewer: B.Craven MSC: 49-01 49J52 49M05 49K15 49K40 90C30 PDFBibTeX XML
Mordukhovich, B. Sh. Penalty functions and necessary extremum conditions in non-smooth and non-convex optimization problems. (Russian) Zbl 0478.49015 Usp. Mat. Nauk 36, No. 1(217), 215-216 (1981). MSC: 49K15 49M30 49M37 90C30 26A24 26A27 58C06 PDFBibTeX XMLCite \textit{B. Sh. Mordukhovich}, Usp. Mat. Nauk 36, No. 1(217), 215--216 (1981; Zbl 0478.49015)