Found 519 Documents (Results 1–100)
Transfer principles, Fenchel conjugate, and subdifferential formulas in Fan-Theobald-von Neumann systems. (English) Zbl 07922483
On quasiconvex multiobjective optimization and variational inequalities using Greenberg-Pierskalla based generalized subdifferentials. (English) Zbl 07922480
Vector implicit functional-integral equations associated with discontinuous functions. (English) Zbl 07917200
Yet another proof of the density in energy of Lipschitz functions. (English) Zbl 07901752
Reviewer: Nicolò De Ponti (Trieste)
Nonsmooth integral guiding potentials in the problem of the asymptotic behavior of trajectories of some classes of functional differential inclusions. (English. Russian original) Zbl 07897405
J. Math. Sci., New York 283, No. 3, 359-365 (2024); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 186, 13-20 (2020).
Applied nonlinear functional analysis. An introduction. 2nd edition. (English) Zbl 07875861
De Gruyter Graduate. Berlin: De Gruyter (ISBN 978-3-11-128421-7/pbk; 978-3-11-128695-2/ebook). xii, 722 p. (2024).
Extremal of log-Sobolev functionals and Li-Yau estimate on \(\mathrm{RCD}^* (K,N)\) spaces. (English) Zbl 07815294
Reviewer: Enrico Pasqualetto (Jyväskylä)
Understanding the effect of white matter delays on large scale brain synchrony. (English) Zbl 1531.92017
A fast continuous time approach for non-smooth convex optimization using Tikhonov regularization technique. (English) Zbl 1539.90062
An inexact primal-dual smoothing framework for large-scale non-bilinear saddle point problems. (English) Zbl 1536.90113
An analysis on the optimal control results for second-order Sobolev-type delay differential inclusions of Clarke’s subdifferential type. (English) Zbl 07784295
Fast continuous dynamics inside the graph of subdifferentials of nonsmooth convex functions. (English) Zbl 1533.37190
Second order optimality conditions for minimization on a general set. I: Applications to mathematical programming. (English) Zbl 1528.90275
Smooth approximations preserving asymptotic Lipschitz bounds. arXiv:2409.01772
Preprint, arXiv:2409.01772 [math.FA] (2024).
Metric Sobolev spaces I: equivalence of definitions. arXiv:2404.11190
Preprint, arXiv:2404.11190 [math.FA] (2024).
Stochastic Inertial Dynamics Via Time Scaling and Averaging. arXiv:2403.16775
Preprint, arXiv:2403.16775 [math.OC] (2024).
Convergence of ADAM for Lipschitz Objective Functions. arXiv:2403.08470
Preprint, arXiv:2403.08470 [math.OC] (2024).
Tikhonov Regularization for Stochastic Non-Smooth Convex Optimization in Hilbert Spaces. arXiv:2403.06708
Preprint, arXiv:2403.06708 [math.OC] (2024).
A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces. arXiv:2402.06376
Preprint, arXiv:2402.06376 [math.OC] (2024).
Non-convex perturbation to evolution problems involving Moreau’s sweeping process. (English) Zbl 07801511
Clarke subdifferential for Lipschitz functions on Asplund spaces. (English) Zbl 1528.49009
Reviewer: Alain Brillard (Riedisheim)
Existence solutions for a couple of differential inclusions involving maximal monotone operators. (English) Zbl 1516.34043
Sensitivity analysis of value functional of fractional optimal control problem with application to feedback construction of near optimal controls. (English) Zbl 1519.49028
Reviewer: Alain Brillard (Riedisheim)
Transversality versus strong tangential transversality. (English) Zbl 1514.49009
Reviewer: Stefan Cobzaş (Cluj-Napoca)
Observer-based bipartite Mittag-Leffler time-varying formation for fractional multi-agent systems with discontinuous inherent dynamics. (English) Zbl 1537.93075
On nonsmooth global implicit function theorems for locally Lipschitz functions from Banach spaces to Euclidean spaces. (English) Zbl 1502.49014
A fast continuous time approach with time scaling for nonsmooth convex optimization. (English) Zbl 1535.90105
Application of quasidifferential calculus to solve optimal control problems with a nonsmooth functional. (English) Zbl 1504.49033
Smirnov, Nikolay (ed.) et al., Stability and control processes. Proceedings of the 4th international conference, SCP 2020, dedicated to the memory of Professor Vladimir Zubov, October 5–10, 2020. Cham: Springer. Lect. Notes Control Inf. Sci. – Proc., 293-301 (2022).
On sufficiency and duality theorems for nonsmooth semi-infinite mathematical programming problem with equilibrium constraints. (English) Zbl 1505.90132
Reviewer: Armin Hoffmann (Ilmenau)
On a second-order functional evolution problem with time and state dependent maximal monotone operators. (English) Zbl 1493.34171
Characterizations of some transversality-type properties. (English) Zbl 1497.49025
Reviewer: Stefan Cobzaş (Cluj-Napoca)
Correction to: “On the continuity of the tangent cone to the determinantal variety”. (English) Zbl 1493.49021
Prox-regular sets and Legendre-Fenchel transform related to separation properties. (English) Zbl 1493.49018
On the continuity of the tangent cone to the determinantal variety. (English) Zbl 1487.49016
Set-Valued Var. Anal. 30, No. 2, 769-788 (2022); correction ibid. 30, No. 3, 995-996 (2022).
Rectifiable curves in proximally smooth sets. (English) Zbl 1495.52002
Reviewer: Alexey Alimov (Moskva)
A structure exploiting algorithm for non-smooth semi-linear elliptic optimal control problems. (English) Zbl 1489.49011
Sensitivity analysis of a scalar mechanical contact problem with perturbation of the Tresca’s friction law. (English) Zbl 1484.49070
Convex analysis and beyond. Volume I. Basic theory. (English) Zbl 1506.90001
Springer Series in Operations Research and Financial Engineering. Cham: Springer (ISBN 978-3-030-94784-2/hbk; 978-3-030-94785-9/ebook). xvii, 585 p. (2022).
Reviewer: Sorin-Mihai Grad (Paris)
Nondegenerate abnormality, controllability, and gap phenomena in optimal control with state constraints. (English) Zbl 1481.49021
Local minimizers of the Crouzeix ratio: a nonsmooth optimization case study. (English) Zbl 1486.15029
Reviewer: Julio Benítez Lopez (Valencia)
Regularized Nonsmooth Newton Algorithms for Best Approximation. arXiv:2212.13182
Preprint, arXiv:2212.13182 [math.OC] (2022).
Maximal Directional Derivatives in Laakso Space. arXiv:2208.03361
Preprint, arXiv:2208.03361 [math.FA] (2022).
Optimal estimation of Wasserstein distance on a tree with an application to microbiome studies. (English) Zbl 1510.62459
Viability result for semilinear functional differential inclusions in Banach spaces. (English) Zbl 1480.34087
Geometric characterizations of the strict Hadamard differentiability of sets. (English) Zbl 1481.58007
Eckland and Bishop-Phelps variational principles in partially ordered spaces. (Russian. English summary) Zbl 1488.58014
Subdifferential of the supremum function: moving back and forth between continuous and non-continuous settings. (English) Zbl 1484.46080
Book review of: N. S. Papageorgiou and P. Winkert, Applied nonlinear functional analysis. An introduction. (English) Zbl 1484.00078
Qualification conditions-free characterizations of the \(\varepsilon \)-subdifferential of convex integral functions. (English) Zbl 1472.49029
Multiplicity of generalized solutions for a class of quasilinear elliptic equations in \({\mathbb{R}^N}\). (Chinese. English summary) Zbl 1474.35320
MSC:
35J62
Nonsmooth algorithms for minimizing the largest eigenvalue with applications to inner numerical radius. (English) Zbl 1465.65028
IMA J. Numer. Anal. 40, No. 4, 2342-2376 (2020); erratum ibid. 40, No. 4, 2942 (2020).
Optimal rates of entropy estimation over Lipschitz balls. (English) Zbl 1464.62258
Reviewer: Claudia Simionescu-Badea (Wien)
Partial smoothness of the numerical radius at matrices whose fields of values are disks. (English) Zbl 1456.49017
On a Bolza problem. (English) Zbl 1463.49033
Reviewer: Angela Slavova (Sofia)
A separation theorem for nonconvex sets and its applications. (English. Russian original) Zbl 1453.46063
J. Math. Sci., New York 245, No. 2, 125-154 (2020); translation from Fundam. Prikl. Mat. 21, No. 4, 23-66 (2016).
Reviewer: Stefan Cobzaş (Cluj-Napoca)
Unbounded perturbation to time-dependent subdifferential operators with delay. (English) Zbl 1463.34264
Convergence rate of inertial proximal algorithms with general extrapolation and proximal coefficients. (English) Zbl 1446.37099
Reviewer: Bülent Karasözen (Ankara)
Lipschitz-like property of subdifferential mapping of convex continuous functions on Hilbert space. (English) Zbl 1446.46053
Reviewer: Stefan Cobzaş (Cluj-Napoca)
On estimation of nonsmooth functionals of sparse normal means. (English) Zbl 1442.62078
Reviewer: Kévin Allan Sales Rodrigues (São Paulo)
Modeling with nonsmooth dynamics. (English) Zbl 1442.37002
Frontiers in Applied Dynamical Systems: Reviews and Tutorials 7. Cham: Springer (ISBN 978-3-030-35986-7/pbk; 978-3-030-35987-4/ebook). viii, 104 p. (2020).
Reviewer: Vladimir Răsvan (Craiova)
Variational methods in nonlinear analysis. With applications in optimization and partial differential equations. (English) Zbl 1443.49001
De Gruyter Graduate. Berlin: De Gruyter (ISBN 978-3-11-064736-5/pbk; 978-3-11-064738-9/ebook). xxv, 474 p. (2020).
Reviewer: Valerii V. Obukhovskij (Voronezh)
MSC:
49-02
47-02
35J20
35J25
35J50
35J57
46A55
47H04
47H05
47H09
47H10
47J20
47J25
47J30
49J35
49J40
49J50
49J52
49J53
49K20
49K35
49N15
49N60
58C30
58E05
58E30
58E35
58J05
58J32
90C25
Existence and multiplicity of nontrivial solutions of biharmonic equations via differential inclusion. (English) Zbl 1423.35477
On tangential transversality. (English) Zbl 1432.49017
Reviewer: Stefan Cobzaş (Cluj-Napoca)
Disk matrices and the proximal mapping for the numerical radius. arXiv:2004.14542
Preprint, arXiv:2004.14542 [math.OC] (2020).
Support points of lower semicontinuous functions with respect to the set of Lipschitz concave functions. (Russian. English summary) Zbl 1524.49026
Some analogue of quadratic interpolation for a special class of non-smooth functionals and one application to adaptive mirror descent. (Russian. English summary) Zbl 1453.90123
A formula for the superdifferential of the distance determined by the gauge function to the complement of a convex set. (English. Russian original) Zbl 1442.46058
Math. Notes 106, No. 5, 703-710 (2019); translation from Mat. Zametki 106, No. 5, 660-668 (2019).
Reviewer: Stefan Cobzaş (Cluj-Napoca)
Open-loop control of a plant described by a system with nonsmooth right-hand side. (English. Russian original) Zbl 1434.49008
Comput. Math. Math. Phys. 59, No. 10, 1639-1648 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 10, 1695-1705 (2019).
Reviewer: Sorin-Mihai Grad (Wien)
MSC:
49J52
Gradients on sets. (English) Zbl 1452.46034
Well-posedness and subdifferentials of optimal value and infimal convolution. (English) Zbl 1430.49009
Strong stationarity for optimal control of a nonsmooth coupled system: application to a viscous evolutionary variational inequality coupled with an elliptic PDE. (English) Zbl 1431.49028
Dynamics and the periodic solutions of the delayed non-smooth Internet TCP-RED congestion control system via HB-AFT. (English) Zbl 1428.49016
Fenchel-Moreau conjugation inequalities with three couplings and application to the stochastic Bellman equation. (English) Zbl 1434.46048
A \(\mathcal{VU}\)-point of view of nonsmooth optimization. (English) Zbl 1451.90124
Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 3797-3818 (2018).
Optimal synchronization of non-smooth fractional order chaotic systems with uncertainty based on extension of a numerical approach in fractional optimal control problems. (English) Zbl 1416.93084
Application of the hypodifferential descent method to the problem of constructing an optimal control. (English) Zbl 1414.49025
New multirectional mean value inequality. (English) Zbl 1407.49017
Reviewer: Alfred Göpfert (Leipzig)
About the mathematical model of sixth order with nonsmooth solutions. (Russian. English summary) Zbl 1402.34028
Stochastic resonance in a non-smooth system under colored noise excitations with a controllable parameter. (English) Zbl 1397.93198
A nonsmooth nonlinear programming based predictive control for mechanical servo systems with backlash-like hysteresis. (English) Zbl 1397.93102
Infimal convolution and optimal time control problem. I: Fréchet and proximal subdifferentials. (English) Zbl 1400.49015
Reviewer: Sorin-Mihai Grad (Vienna)
Applied nonlinear functional analysis. An introduction. (English) Zbl 1404.46001
De Gruyter Graduate. Berlin: De Gruyter (ISBN 978-3-11-051622-7/pbk; 978-3-11-053298-2/ebook). x, 612 p. (2018).
Reviewer: Stefan Cobzaş (Cluj-Napoca)
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