Gfrerer, Helmut; Mandlmayr, Michael; Outrata, Jiří V.; Valdman, Jan On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction. (English) Zbl 07786397 Comput. Optim. Appl. 86, No. 3, 1159-1191 (2023). MSC: 90Cxx PDFBibTeX XMLCite \textit{H. Gfrerer} et al., Comput. Optim. Appl. 86, No. 3, 1159--1191 (2023; Zbl 07786397) Full Text: DOI arXiv OA License
Gfrerer, Helmut; Kruger, Alexander Y. Radius theorems for subregularity in infinite dimensions. (English) Zbl 07786396 Comput. Optim. Appl. 86, No. 3, 1117-1158 (2023). MSC: 90Cxx 49J52 49J53 49K40 90C31 PDFBibTeX XMLCite \textit{H. Gfrerer} and \textit{A. Y. Kruger}, Comput. Optim. Appl. 86, No. 3, 1117--1158 (2023; Zbl 07786396) Full Text: DOI arXiv
Gfrerer, Helmut; Outrata, Jirí V. On the isolated calmness property of implicitly defined multifunctions. (English) Zbl 07733447 J. Convex Anal. 30, No. 3, 1001-1023 (2023). MSC: 65K10 65K15 90C33 PDFBibTeX XMLCite \textit{H. Gfrerer} and \textit{J. V. Outrata}, J. Convex Anal. 30, No. 3, 1001--1023 (2023; Zbl 07733447) Full Text: arXiv Link
Gfrerer, Helmut; Kruger, Alexander Y. The radius of metric regularity revisited. (English) Zbl 1518.49019 Set-Valued Var. Anal. 31, No. 3, Paper No. 20, 13 p. (2023). MSC: 49J52 49J53 49K40 90C31 PDFBibTeX XMLCite \textit{H. Gfrerer} and \textit{A. Y. Kruger}, Set-Valued Var. Anal. 31, No. 3, Paper No. 20, 13 p. (2023; Zbl 1518.49019) Full Text: DOI arXiv
Gfrerer, Helmut; Ye, Jane J.; Zhou, Jinchuan Second-order optimality conditions for nonconvex set-constrained optimization problems. (English) Zbl 1508.90067 Math. Oper. Res. 47, No. 3, 2344-2365 (2022). Reviewer: Samir Kumar Neogy (New Delhi) MSC: 90C26 90C46 49J53 PDFBibTeX XMLCite \textit{H. Gfrerer} et al., Math. Oper. Res. 47, No. 3, 2344--2365 (2022; Zbl 1508.90067) Full Text: DOI arXiv
Gfrerer, Helmut; Outrata, Jiří V. On (local) analysis of multifunctions via subspaces contained in graphs of generalized derivatives. (English) Zbl 1527.90217 J. Math. Anal. Appl. 508, No. 2, Article ID 125895, 37 p. (2022). MSC: 90C30 90C53 PDFBibTeX XMLCite \textit{H. Gfrerer} and \textit{J. V. Outrata}, J. Math. Anal. Appl. 508, No. 2, Article ID 125895, 37 p. (2022; Zbl 1527.90217) Full Text: DOI arXiv
Gfrerer, Helmut; Outrata, Jiří V. On a semismooth* Newton method for solving generalized equations. (English) Zbl 1462.90141 SIAM J. Optim. 31, No. 1, 489-517 (2021). MSC: 90C33 90C53 65K10 65K15 PDFBibTeX XMLCite \textit{H. Gfrerer} and \textit{J. V. Outrata}, SIAM J. Optim. 31, No. 1, 489--517 (2021; Zbl 1462.90141) Full Text: DOI arXiv
Gfrerer, Helmut; Outrata, Jiří V. On the Aubin property of solution maps to parameterized variational systems with implicit constraints. (English) Zbl 1451.49019 Optimization 69, No. 7-8, 1681-1701 (2020). MSC: 49J53 90C31 90C46 PDFBibTeX XMLCite \textit{H. Gfrerer} and \textit{J. V. Outrata}, Optimization 69, No. 7--8, 1681--1701 (2020; Zbl 1451.49019) Full Text: DOI arXiv
Dontchev, Asen L.; Gfrerer, Helmut; Kruger, Alexander Y.; Outrata, Jiří V. The radius of metric subregularity. (English) Zbl 1447.49030 Set-Valued Var. Anal. 28, No. 3, 451-473 (2020). MSC: 49J52 49J53 49K40 90C31 PDFBibTeX XMLCite \textit{A. L. Dontchev} et al., Set-Valued Var. Anal. 28, No. 3, 451--473 (2020; Zbl 1447.49030) Full Text: DOI arXiv
Gfrerer, Helmut; Ye, Jane J. New sharp necessary optimality conditions for mathematical programs with equilibrium constraints. (English) Zbl 1491.90161 Set-Valued Var. Anal. 28, No. 2, 395-426 (2020). MSC: 90C30 90C33 90C46 PDFBibTeX XMLCite \textit{H. Gfrerer} and \textit{J. J. Ye}, Set-Valued Var. Anal. 28, No. 2, 395--426 (2020; Zbl 1491.90161) Full Text: DOI arXiv
Benko, Matúš; Gfrerer, Helmut; Outrata, Jiří V. Stability analysis for parameterized variational systems with implicit constraints. (English) Zbl 1437.49017 Set-Valued Var. Anal. 28, No. 1, 167-193 (2020). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 49J40 90C31 PDFBibTeX XMLCite \textit{M. Benko} et al., Set-Valued Var. Anal. 28, No. 1, 167--193 (2020; Zbl 1437.49017) Full Text: DOI arXiv
Gfrerer, Helmut Linearized M-stationarity conditions for general optimization problems. (English) Zbl 1430.90556 Set-Valued Var. Anal. 27, No. 3, 819-840 (2019). Reviewer: Dumitru Motreanu (Perpignan) MSC: 90C46 90C30 PDFBibTeX XMLCite \textit{H. Gfrerer}, Set-Valued Var. Anal. 27, No. 3, 819--840 (2019; Zbl 1430.90556) Full Text: DOI arXiv
Benko, Matúš; Gfrerer, Helmut; Outrata, Jiří V. Calculus for directional limiting normal cones and subdifferentials. (English) Zbl 1426.49018 Set-Valued Var. Anal. 27, No. 3, 713-745 (2019). MSC: 49J53 49J52 90C31 49K40 PDFBibTeX XMLCite \textit{M. Benko} et al., Set-Valued Var. Anal. 27, No. 3, 713--745 (2019; Zbl 1426.49018) Full Text: DOI arXiv
Gfrerer, Helmut; Mordukhovich, Boris S. Second-order variational analysis of parametric constraint and variational systems. (English) Zbl 1408.49015 SIAM J. Optim. 29, No. 1, 423-453 (2019). MSC: 49J53 49N60 90C30 90C31 PDFBibTeX XMLCite \textit{H. Gfrerer} and \textit{B. S. Mordukhovich}, SIAM J. Optim. 29, No. 1, 423--453 (2019; Zbl 1408.49015) Full Text: DOI arXiv
Gfrerer, H.; Outrata, J. V. On the Aubin property of a class of parameterized variational systems. (English) Zbl 1385.49007 Math. Methods Oper. Res. 86, No. 3, 443-467 (2017). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 49J53 90C31 90C46 PDFBibTeX XMLCite \textit{H. Gfrerer} and \textit{J. V. Outrata}, Math. Methods Oper. Res. 86, No. 3, 443--467 (2017; Zbl 1385.49007) Full Text: DOI arXiv Link
Gfrerer, Helmut; Ye, Jane J. New constraint qualifications for mathematical programs with equilibrium constraints via variational analysis. (English) Zbl 1368.49015 SIAM J. Optim. 27, No. 2, 842-865 (2017). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 49J53 90C30 90C33 90C46 PDFBibTeX XMLCite \textit{H. Gfrerer} and \textit{J. J. Ye}, SIAM J. Optim. 27, No. 2, 842--865 (2017; Zbl 1368.49015) Full Text: DOI arXiv
Gfrerer, Helmut; Mordukhovich, Boris S. Robinson stability of parametric constraint systems via variational analysis. (English) Zbl 1368.49014 SIAM J. Optim. 27, No. 1, 438-465 (2017). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 49J53 90C30 90C31 49J52 PDFBibTeX XMLCite \textit{H. Gfrerer} and \textit{B. S. Mordukhovich}, SIAM J. Optim. 27, No. 1, 438--465 (2017; Zbl 1368.49014) Full Text: DOI arXiv
Gfrerer, Helmut; Outrata, Jiří V. On computation of generalized derivatives of the normal-cone mapping and their applications. (English) Zbl 1352.49018 Math. Oper. Res. 41, No. 4, 1535-1556 (2016). MSC: 49J53 49J52 90C31 90C46 PDFBibTeX XMLCite \textit{H. Gfrerer} and \textit{J. V. Outrata}, Math. Oper. Res. 41, No. 4, 1535--1556 (2016; Zbl 1352.49018) Full Text: DOI Link
Gfrerer, Helmut; Outrata, Jiří V. On Lipschitzian properties of implicit multifunctions. (English) Zbl 1351.49019 SIAM J. Optim. 26, No. 4, 2160-2189 (2016). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 49J53 49K40 90C46 90C31 PDFBibTeX XMLCite \textit{H. Gfrerer} and \textit{J. V. Outrata}, SIAM J. Optim. 26, No. 4, 2160--2189 (2016; Zbl 1351.49019) Full Text: DOI arXiv
Gfrerer, Helmut; Klatte, Diethard Lipschitz and Hölder stability of optimization problems and generalized equations. (English) Zbl 1345.49030 Math. Program. 158, No. 1-2 (A), 35-75 (2016). MSC: 49K40 49J53 90C31 90C30 90C33 PDFBibTeX XMLCite \textit{H. Gfrerer} and \textit{D. Klatte}, Math. Program. 158, No. 1--2 (A), 35--75 (2016; Zbl 1345.49030) Full Text: DOI arXiv Link
Gfrerer, Helmut; Outrata, Jiří V. On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications. (English) Zbl 1338.49032 Optimization 65, No. 4, 671-700 (2016). MSC: 49J53 49J52 90C31 90C46 PDFBibTeX XMLCite \textit{H. Gfrerer} and \textit{J. V. Outrata}, Optimization 65, No. 4, 671--700 (2016; Zbl 1338.49032) Full Text: DOI arXiv
Gfrerer, Helmut On metric pseudo-(sub)regularity of multifunctions and optimality conditions for degenerated mathematical programs. (English) Zbl 1297.49023 Set-Valued Var. Anal. 22, No. 1, 79-115 (2014). MSC: 49J53 49J52 49K27 90C48 PDFBibTeX XMLCite \textit{H. Gfrerer}, Set-Valued Var. Anal. 22, No. 1, 79--115 (2014; Zbl 1297.49023) Full Text: DOI
Gfrerer, Helmut On directional metric regularity, subregularity and optimality conditions for nonsmooth mathematical programs. (English) Zbl 1321.49031 Set-Valued Var. Anal. 21, No. 2, 151-176 (2013). MSC: 49J53 49J52 49K27 90C48 PDFBibTeX XMLCite \textit{H. Gfrerer}, Set-Valued Var. Anal. 21, No. 2, 151--176 (2013; Zbl 1321.49031) Full Text: DOI