Found 916 Documents (Results 1–100)
The regularity property of Compensated convex transforms for semiconvex functions of general modulus. (English) Zbl 07928039
Transfer principles, Fenchel conjugate, and subdifferential formulas in Fan-Theobald-von Neumann systems. (English) Zbl 07922483
Subdifferentials and coderivatives of efficient point multifunctions in parametric convex vector optimization. (English) Zbl 07916636
Algorithmic schemes for non-smooth simple bilevel programming problem and simple MPEC problem. (English) Zbl 07914188
The perturbation method and regularization of the Lagrange multiplier rule in convex constrained optimization problems. (English. Russian original) Zbl 07906030
Proc. Steklov Inst. Math. 325, Suppl. 1, S194-S211 (2024); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 30, No. 2, 203-221 (2024).
MGProx: a nonsmooth multigrid proximal gradient method with adaptive restriction for strongly convex optimization. (English) Zbl 07896743
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).
On nonconvex split feasibility problems with \(S\)-subdifferential functions. (English) Zbl 07872909
Minimizing compositions of differences-of-convex functions with smooth mappings. (English) Zbl 07872331
Karush-Kuhn-Tucker conditions and duality for a class of convex adjustable robust optimization problem. (English) Zbl 07862477
Outer approximation for pseudo-convex mixed-integer nonlinear program problems. (English) Zbl 1535.90098
Various notions of nonexpansiveness coincide for proximal mappings of functions. (English) Zbl 1533.49013
Optimality results for nondifferentiable vector optimization problems with vanishing constraints. (English) Zbl 07921154
Upper level qualifications and optimality in multiobjective convex generalized semi-infinite problems. (English) Zbl 07878609
\(E\)-subdifferential of \(E\)-convex functions and its applications to minimization problem. (English) Zbl 1530.49015
Relationships between polyhedral convex sets and generalized polyhedral convex sets. (English) Zbl 1538.90166
Directional derivatives and subdifferential of convex fuzzy mapping on \(n\)-dimensional time scales and applications to fuzzy programming. (English) Zbl 1522.26031
Sequential Pareto subdifferential sum rule for convex set-valued mappings and applications. (English) Zbl 1522.90098
Lebesgue infinite sums of convex functions: subdifferential calculus. (English) Zbl 07733449
MSC:
49J52
Revisiting Rockafellar’s theorem on relative interiors of convex graphs with applications to convex generalized differentiation. (English) Zbl 1525.49013
Reviewer: Fabio Vito Difonzo (Bari)
Fundamentals of convex analysis and optimization. A supremum function approach. (English) Zbl 1540.90195
Springer Series in Operations Research and Financial Engineering. Cham: Springer (ISBN 978-3-031-29550-8/hbk; 978-3-031-29553-9/pbk; 978-3-031-29551-5/ebook). xiii, 444 p. (2023).
Reviewer: Svetlana A. Kravchenko (Minsk)
Convex optimization and monotonic variational inequalities. (Optimisation convexe et inéquations variationnelles monotones.) (French) Zbl 1523.49001
Mathématiques & Applications (Berlin) 89. Cham: Springer (ISBN 978-3-031-30680-8/pbk; 978-3-031-30681-5/ebook). xiii, 194 p. (2023).
Reviewer: Alain Brillard (Riedisheim)
Second-order characterization of convex mappings in Banach spaces and its applications. (English) Zbl 1528.26018
On \(\sigma\)-subdifferential polarity and Fréchet \(\sigma\)-subdifferential. (English) Zbl 07705886
Reviewer: Armin Hoffmann (Ilmenau)
More on connexions between subdifferential and weak compactness of sublevels. (English) Zbl 1522.46050
Reviewer: Stefan Cobzaş (Cluj-Napoca)
Uniqueness in nuclear norm minimization: flatness of the nuclear norm sphere and simultaneous polarization. (English) Zbl 1514.15029
Sequential subdifferential for multi-composed functions via perturbation approach. (English) Zbl 1528.90186
Reviewer: Juan-Enrique Martínez-Legaz (Barcelona)
Eigenvalue problems in \(\mathrm{L}^\infty\): optimality conditions, duality, and relations with optimal transport. (English) Zbl 07750995
Parabolic quasi-variational inequalities. III: Problems with degenerate gradient constraint. (English) Zbl 1509.35147
Generalized Nesterov’s accelerated proximal gradient algorithms with convergence rate of order \(o(1/k^2)\). (English) Zbl 1502.90134
Stochastic difference-of-convex-functions algorithms for nonconvex programming. (English) Zbl 1501.90074
Error bound characterizations of the conical constraint qualification in convex programming. (English) Zbl 1497.90145
Unique minimizers and the representation of convex envelopes in locally convex vector spaces. (English) Zbl 1497.46083
Reviewer: Stefan Cobzaş (Cluj-Napoca)
Convergence of constant step stochastic gradient descent for non-smooth non-convex functions. (English) Zbl 1497.65099
Characterizations of some transversality-type properties. (English) Zbl 1497.49025
Reviewer: Stefan Cobzaş (Cluj-Napoca)
Newton differentiability of convex functions in normed spaces and of a class of operators. (English) Zbl 1502.46030
SIAM J. Optim. 32, No. 2, 1265-1287 (2022); corrigendum and addendum ibid. 34, No. 3, 3163-3166 (2024).
The DTC (difference of tangentially convex functions) programming: optimality conditions. (English) Zbl 1489.90139
Sensitivity analysis of a Tresca-type problem leads to Signorini’s conditions. (English) Zbl 1490.49032
Variational analysis of paraconvex multifunctions. (English) Zbl 1532.90142
Reviewer: Paulo Mbunga (Kiel)
Epsilon subdifferential method and integrability. (English) Zbl 1506.90204
Reviewer: Juan-Enrique Martínez-Legaz (Barcelona)
Sequential Pareto subdifferential multi-composition rule and application to multiobjective minimax location problems. (English) Zbl 1491.90145
On the solution of contact problems with Tresca friction by the semismooth* Newton method. (English) Zbl 1490.74076
Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 13th international conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13127, 515-523 (2022).
Sensitivity analysis of a scalar mechanical contact problem with perturbation of the Tresca’s friction law. (English) Zbl 1484.49070
Sufficient conditions for a minimum of a strongly quasiconvex function on a weakly convex set. (English. Russian original) Zbl 1489.90114
Math. Notes 111, No. 1, 33-46 (2022); translation from Mat. Zametki 111, No. 1, 39-53 (2022).
Reviewer: Sorin-Mihai Grad (Paris)
MSC:
90C25
Characterization of approximate monotone operators. (English) Zbl 1503.47070
Reviewer: K. C. Sivakumar (Chennai)
Double phase Dirichlet problems with unilateral constraints. (English) Zbl 1498.35294
Reviewer: Leszek Gasiński (Kraków)
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)
Subdifferentials of the marginal functions in parametric convex optimization via intersection formulas. (English) Zbl 1484.90075
Isolated and proper efficiencies for semi-infinite multiobjective fractional problems. (English) Zbl 1513.65191
On the maximal monotonicity of subdifferential operators. (English) Zbl 1513.47095
Reviewer: Mircea Balaj (Oradea)
Incremental quasi-subgradient method for minimizing sum of geodesic quasi-convex functions on Riemannian manifolds with applications. (English) Zbl 1489.90109
Reviewer: S. S. Kutateladze (Novosibirsk)
A study of convex convex-composite functions via infimal convolution with applications. (English) Zbl 1483.90109
Reviewer: Sorin-Mihai Grad (Paris)
Remarks on extension of convex functions and application to evolution inclusions generated by \(-\Delta\beta\). (English) Zbl 1483.80004
Reviewer: Alain Brillard (Riedisheim)
Geometric characterizations of the strict Hadamard differentiability of sets. (English) Zbl 1481.58007
Differential stability properties in convex scalar and vector optimization. (English) Zbl 1481.49019
Hahn-Banach-type theorems and subdifferentials for invariant and equivariant order continuous vector lattice-valued operators with applications to optimization. (English) Zbl 1491.46074
Hemivariational inequality for Navier-Stokes equations: existence, dependence, and optimal control. (English) Zbl 1474.35519
Lipschitz continuity of convex functions. (English) Zbl 1480.26001
Reviewer: Sergei V. Rogosin (Minsk)
Optimality conditions based on the Fréchet second-order subdifferential. (English) Zbl 1484.90136
Reviewer: Regina Sandra Burachik (Adelaide)
Enlargements of the Moreau-Rockafellar subdifferential. (English) Zbl 1479.90195
Reviewer: Karel Zimmermann (Praha)
Iterative algorithms for minimizing the Hausdorff distance between convex polyhedrons. (Russian. English summary) Zbl 1480.11097
Reviewer: Symon Serbenyuk (Kyïv)
Subgradients of the value function via multiplier sets of parametric convex discrete optimal control problems. (English) Zbl 1475.49029
Reviewer: Gheorghe Tigan (Timișoara)
Risk measures in the form of infimal convolution. (English. Russian original) Zbl 1470.91331
Cybern. Syst. Anal. 57, No. 1, 30-46 (2021); translation from Kibern. Sist. Anal. 57, No. 1, 35-54 (2021).
Moreau envelope of supremum functions with applications to infinite and stochastic programming. (English) Zbl 1478.49014
Reviewer: Marcin Anholcer (Poznań)
Qualification conditions-free characterizations of the \(\varepsilon \)-subdifferential of convex integral functions. (English) Zbl 1472.49029
Basics of convex analysis. (Grundzüge der konvexen Analysis.) (German) Zbl 1473.90121
Berlin: Springer Spektrum (ISBN 978-3-662-62756-3/pbk; 978-3-662-62757-0/ebook). x, 184 p. (2021).
Reviewer: Paulo Mbunga (Kiel)
Conjugate convex functions without infinity. (English) Zbl 1466.46073
Reviewer: Constantin Niculescu (Craiova)
Formulas and applications for the normal cone to the solution set of an infinite convex inequality system with a constraint. (Chinese. English summary) Zbl 1513.90134
Hahn-Banach and sandwich theorems for equivariant vector lattice-valued operators and applications. (English) Zbl 07439074
The conditions of minimum for a smooth function on the boundary of a quasidifferntiable set. (Russian. English summary) Zbl 1480.90229
MSC:
90C30
Characterizing robust weak sharp solution sets of convex optimization problems with uncertainty. (English) Zbl 1476.90242
Algorithms of minimization of Hausdorff deviation of a convex compact from a set of movable convex polygons. (Russian. English summary) Zbl 1470.52004
Vector optimization problems and generalized vector variational-like inequalities. (English) Zbl 1474.49025
A dynamical approach to two-block separable convex optimization problems with linear constraints. (English) Zbl 1470.90073
Reviewer: Sorin-Mihai Grad (Wien)
A generalized sequential formula for subdifferential of multi-composed functions defined on Banach spaces and applications. (English) Zbl 1457.49013
Solution analysis for a class of set-inclusive generalized equations: a convex analysis approach. (English) Zbl 1472.46077
Second-order characterizations of quasiconvexity and pseudoconvexity for differentiable functions with Lipschitzian derivatives. (English) Zbl 1528.90190
Reviewer: Hongpeng Sun (Beijing)
Characterizations of quasi approximate solution for robust convex optimization problems. (Chinese. English summary) Zbl 1463.90161
The external estimate of the compact set by Lebesgue set of the convex function. (Russian. English summary) Zbl 1456.90175
MSC:
90C47
Barrier functions in subdifferential theory. (English) Zbl 1455.49010
Reviewer: Chadi Nour (Byblos)
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