DOI10.1007/978-3-319-92775-6zbMath1402.49003OpenAlexW2885473730MaRDI QIDQ4571770
Boris S. Mordukhovich
Publication date: 29 June 2018
Published in: Springer Monographs in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-92775-6
Levitin-Polyak well-posedness for vector optimization problems in linear spaces,
Robust Ekeland variational principles. Application to the formation and stability of partnerships,
Definable continuous mappings and Whyburn’s conjecture,
Nonconvex equilibrium models for energy markets: exploiting price information to determine the existence of an equilibrium,
On optimality conditions for nonsmooth vector problems in normed spaces via generalized Hadamard directional derivatives,
Some new optimality conditions for semivector bilevel optimization program,
Solving a continuous multifacility location problem by DC algorithms,
Algebraic core and convex calculus without topology,
Semicontinuity of the solution maps to vector equilibrium problems with equilibrium constraints,
Optimal economic growth problems with high values of total factor productivity,
Generic Property of the Partial Calmness Condition for Bilevel Programming Problems,
Graphical Convergence of Subgradients in Nonconvex Optimization and Learning,
Variational Analysis of Composite Models with Applications to Continuous Optimization,
Convex analysis of minimal time and signed minimal time functions,
Discrete Approximations and Optimal Control of Nonsmooth Perturbed Sweeping Processes,
Coderivatives and Aubin properties of solution mappings for parametric vector variational inequality problems,
Error Bound Characterizations of the Conical Constraint Qualification in Convex Programming,
Higher-order tangent derivative and its applications to sensitivity analysis,
Differential stability of discrete optimal control problems with possibly nondifferentiable costs,
An augmented Lagrangian method for optimization problems with structured geometric constraints,
On relations between nonsmooth interval-valued multiobjective programming problems and generalized Stampacchia vector variational inequalities,
Optimality conditions in DC-constrained mathematical programming problems,
Second-order enhanced optimality conditions and constraint qualifications,
Nonconvex evolution inclusions governed by the difference of two subdifferentials,
An accelerated subgradient extragradient algorithm for solving bilevel variational inequality problems involving non-Lipschitz operator,
About error bounds in metrizable topological vector spaces,
Convergence Analysis of the Proximal Gradient Method in the Presence of the Kurdyka–Łojasiewicz Property Without Global Lipschitz Assumptions,
On optimality conditions and duality for multiobjective optimization with equilibrium constraints,
Second-Order Optimality Conditions for General Nonconvex Optimization Problems and Variational Analysis of Disjunctive Systems,
Locating Theorems of Differential Inclusions Governed by Maximally Monotone Operators,
Coincidence points of parameterized generalized equations with applications to optimal value functions,
New second-order limiting directional derivatives and \(C^1\)-optimization,
Projectional coderivatives and calculus rules,
Generalized damped Newton algorithms in nonsmooth optimization via second-order subdifferentials,
Nonlinear metric regularity on fixed sets,
Second-order characterization of convex mappings in Banach spaces and its applications,
Convex and nonconvex sweeping processes with velocity constraints: well-posedness and insights,
Discrete approximations and optimality conditions for controlled free-time sweeping processes,
On \(\varepsilon\)-quasi efficient solutions for fractional infinite multiobjective optimization problems with locally Lipschitz data,
Globally convergent coderivative-based generalized Newton methods in nonsmooth optimization,
Robust optimality conditions and duality for nonsmooth multiobjective fractional semi-infinite programming problems with uncertain data,
Inexact penalty decomposition methods for optimization problems with geometric constraints,
Perturbation analysis of the Euclidean distance matrix optimization problem and its numerical implications,
LASSO Reloaded: A Variational Analysis Perspective with Applications to Compressed Sensing,
Exact separation theorem for disjoint closed sets in Hilbert spaces,
Optimization of first-order Nicoletti boundary value problem with discrete and differential inclusions and duality,
Controlled polyhedral sweeping processes: existence, stability, and optimality conditions,
A globally convergent proximal Newton-type method in nonsmooth convex optimization,
Aubin property for solution set in multi-objective programming,
Sensitivity analysis of stochastic constraint and variational systems via generalized differentiation,
Necessary conditions in infinite-horizon control problems that need no asymptotic assumptions,
Directional derivatives and subdifferentials for set-valued maps applied to set optimization,
On optimality conditions and duality theorems for approximate solutions of nonsmooth infinite optimization problems,
Calmness of partial perturbation to composite rank constraint systems and its applications,
CHARACTERIZATIONS OF QUASICONVEX AND PSEUDOCONVEX FUNCTIONS BY THEIR SECOND-ORDER REGULAR SUBDIFFERENTIALS,
Stability of singular solutions of nonlinear equations with restricted smoothness assumptions,
Twice Epi-Differentiability of Extended-Real-Valued Functions with Applications in Composite Optimization,
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Optimization of a Perturbed Sweeping Process by Constrained Discontinuous Controls,
Generalized gradients for probabilistic/robust (probust) constraints,
On the stability of approximate solutions to set-valued equilibrium problems,
Maximality and first-order criteria of r-monotone operators,
Optimality conditions in terms of convexificators for a bilevel multiobjective optimization problem,
A new notion of semicontinuity of vector functions and its properties,
Second-Order Variational Analysis of Parametric Constraint and Variational Systems,
Two-level value function approach to non-smooth optimistic and pessimistic bilevel programs,
Subgradients of Marginal Functions in Parametric Control Problems of Partial Differential Equations,
Local Minimizers of Semi-Algebraic Functions from the Viewpoint of Tangencies,
On Characterizations of Metric Regularity of Multi-valued Maps,
Characterizations of Tilt-Stable Minimizers in Second-Order Cone Programming,
Contingent derivatives of the set-valued solution map of a noncoercive saddle point problem. A cross-fertilization between variational analysis and inverse problems,
Parabolic regularity in geometric variational analysis,
Subdifferential Calculus Rules for Possibly Nonconvex Integral Functions,
Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability,
Necessary optimality conditions for minimax optimal control problems with mixed constraints,
The Boosted Difference of Convex Functions Algorithm for Nonsmooth Functions,
Subdifferential Formulae for the Supremum of an Arbitrary Family of Functions,
Criticality of Lagrange multipliers in extended nonlinear optimization,
Generalized Newton Algorithms for Tilt-Stable Minimizers in Nonsmooth Optimization,
On the Intrinsic Core of Convex Cones in Real Linear Spaces,
The FM and BCQ Qualifications for Inequality Systems of Convex Functions in Normed Linear Spaces,
Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation,
On a Semismooth* Newton Method for Solving Generalized Equations,
Quadratic Growth and Strong Metric Subregularity of the Subdifferential via Subgradient Graphical Derivative,
Variational Analysis in Normed Spaces with Applications to Constrained Optimization,
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On Second-Order Composed Proto-Differentiability of Proper Perturbation Maps in Parametric Vector Optimization Problems,
Analyzing a Maximum Principle for Finite Horizon State Constrained Problems via Parametric Examples. Part 2: Problems with Bilateral State Constraints,
Projection methods for high numerical aperture phase retrieval,
Bilevel Optimization and Variational Analysis,
On Minimax Fractional Semi-Infinite Programming Problems with Applications,
Continuous feedback stabilization of nonlinear control systems by composition operators,
Sharp estimates for approximate and exact solutions to quasi-optimization problems,
Generalized Leibniz Rules and Lipschitzian Stability for Expected-Integral Mappings,
Sufficient Optimality Conditions in Bilevel Programming,
Openness, Hölder Metric Regularity, and Hölder Continuity Properties of Semialgebraic Set-Valued Maps,
Quasi-relative interiors for graphs of convex set-valued mappings,
Optimality and duality in nonsmooth composite vector optimization and applications,
Pseudo metric subregularity and its stability in asplund spaces,
On higher-order proto-differentiability and higher-order asymptotic proto-differentiability of weak perturbation maps in parametric vector optimization,
Deep learning for inverse problems. Abstracts from the workshop held March 7--13, 2021 (hybrid meeting),
Hadamard semidifferential, oriented distance function, and some applications,
On compositions of special cases of Lipschitz continuous operators,
History-dependent operators and prox-regular sweeping processes,
Second-order optimality conditions for constrained optimization problems with \(C^1\) data via regular and limiting subdifferentials,
Some properties of generalized oriented distance function and their applications to set optimization problems,
A dynamic alternating direction of multipliers for nonconvex minimization with nonlinear functional equality constraints,
Optimal control of nonconvex integro-differential sweeping processes,
Higher-order set-valued Hadamard directional derivatives: calculus rules and sensitivity analysis of equilibrium problems and generalized equations,
Approximate solutions in nonsmooth and nonconvex cone constrained vector optimization,
Global convergence of model function based Bregman proximal minimization algorithms,
Necessary optimality conditions for nonsmooth multi-objective bilevel optimization problem under the optimistic perspective,
Quadratic growth and strong metric subregularity of the subdifferential for a class of non-prox-regular functions,
Gradient formulae for probability functions depending on a heterogenous family of constraints,
Some brief observations in minimizing the sum of locally Lipschitzian functions,
Optimal processes in a parametric optimal economic growth model,
Stability analysis for parameterized variational systems with implicit constraints,
On higher-order proto-differentiability of perturbation maps,
Sequential characterizations of approximate solutions in convex vector optimization problems with set-valued maps,
Vector optimization with domination structures: variational principles and applications,
Characterization of the weakly efficient solutions in nonsmooth quasiconvex multiobjective optimization,
Limiting subdifferential calculus and perturbed distance function in Riemannian manifolds,
Stability in set-valued optimization problems using asymptotic analysis and epi-convergence,
Sigma-subdifferential and its application to minimization problem,
A second welfare theorem in a non-convex economy: the case of antichain-convexity,
Subdifferentials and stability analysis of feasible set and Pareto front mappings in linear multiobjective optimization,
On perturbed hybrid steepest descent method with minimization or superiorization for subdifferentiable functions,
Approximate solutions in set-valued optimization problems with applications to maximal monotone operators,
Necessary optimality conditions for a semivectorial bilevel optimization problem using the kth-objective weighted-constraint approach,
Superlinear convergence of the sequential quadratic method in constrained optimization,
Relaxed constant positive linear dependence constraint qualification and its application to bilevel programs,
Optimization and discrete approximation of sweeping processes with controlled moving sets and perturbations,
A variational approach to local asymptotic and exponential stabilization of nonlinear systems,
Extended Euler-Lagrange and Hamiltonian conditions in optimal control of sweeping processes with controlled moving sets,
Generalized monotone operators and their averaged resolvents,
A regularized smoothing method for fully parameterized convex problems with applications to convex and nonconvex two-stage stochastic programming,
Lipschitz-like property relative to a set and the generalized Mordukhovich criterion,
New extremal principles with applications to stochastic and semi-infinite programming,
On Lipschitz continuity of projections onto polyhedral moving sets,
Existence of efficient and properly efficient solutions to problems of constrained vector optimization,
Explicit formula for preimages of relaxed one-sided Lipschitz mappings with negative Lipschitz constants: a geometric approach,
Optimality conditions for locally Lipschitz optimization with \(l_0\)-regularization,
Regularization projection method for solving bilevel variational inequality problem,
Stability of efficient solutions to set optimization problems,
On the sensitivity of Pareto efficiency in set-valued optimization problems,
Ekeland variational principles involving set perturbations in vector equilibrium problems,
Optimality and duality in nonsmooth conic vector optimization,
On the Dini-Hadamard-like coderivative of the difference of two single-valued mappings,
Optimality conditions for minimax optimization problems with an infinite number of constraints and related applications,
Kurdyka-Łojasiewicz property of zero-norm composite functions,
Convex combination of alternating projection and Douglas-Rachford operators for phase retrieval,
Theoretical and numerical comparison of the Karush-Kuhn-Tucker and value function reformulations in bilevel optimization,
Optimal economic growth models with nonlinear utility functions,
Characterization of nonsmooth quasiconvex functions and their Greenberg-Pierskalla's subdifferentials using semi-quasidifferentiability notion,
Global asymptotic stability of nonconvex sweeping processes,
Quasi \(\epsilon\)-solutions in a semi-infinite programming problem with locally Lipschitz data,
On the positive definiteness of limiting coderivative for set-valued mappings,
On the quantitative solution stability of parameterized set-valued inclusions,
Well-posedness and stability in set optimization with applications,
Stability of minimality and criticality in directional set-valued optimization problems,
Lagrange multiplier characterizations of constrained best approximation with infinite constraints,
Correction to: ``Kurdyka-Łojasiewicz property of zero-norm composite functions, Generalized sequential differential calculus for expected-integral functionals, Optimization of fully controlled sweeping processes, Optimality conditions for nonconvex problems over nearly convex feasible sets, A proximal point method for difference of convex functions in multi-objective optimization with application to group dynamic problems, Optimality conditions for an exhausterable function on an exhausterable set, On modified subgradient extragradient methods for pseudomonotone variational inequality problems with applications, Levitin-Polyak well-posedness in set optimization concerning Pareto efficiency, Optimal control of differential inclusions. I: Lipschitzian case, Optimal control of differential inclusions. II: Sweeping, Subdifferentials of marginal functions of parametric bang-bang control problems, Scalarization functionals with uniform level sets in set optimization, Coderivatives and Aubin property of efficient point and efficient solution set-valued maps in parametric vector optimization, On (local) analysis of multifunctions via subspaces contained in graphs of generalized derivatives, Augmented Lagrangian method for second-order cone programs under second-order sufficiency, Optimal control of sweeping processes in robotics and traffic flow models, Second-order composed contingent derivatives of perturbation maps in set-valued optimization, Semi-quasidifferentiability in nonsmooth nonconvex multiobjective optimization, Improving the performance of a traffic system by fair rerouting of travelers, On Pareto dominance in decomposably antichain-convex sets, Scalarizations for a set optimization problem using generalized oriented distance function, Metric regularity relative to a cone, Higher-order generalized tangent epiderivatives and applications to set-valued optimization, Convergence properties of monotone and nonmonotone proximal gradient methods revisited, Minimax programming as a tool for studying robust multi-objective optimization problems, Scaled constraint qualifications and necessary optimality conditions for nonsmooth mathematical programs with second-order cone complementarity constraints, On generalized second-order proto-differentiability of the benson proper perturbation maps in parametric vector optimization problems, Generalized differentiation of probability functions: parameter dependent sets given by intersections of convex sets and complements of convex sets, B-subdifferential of the projection onto the generalized spectraplex, Necessary optimality conditions for a multiobjective semi-infinite interval-valued programming problem, Primal superlinear convergence of SQP methods in piecewise linear-quadratic composite optimization, Calmness and calculus: two basic patterns, Sufficient conditions for metric subregularity of constraint systems with applications to disjunctive and ortho-disjunctive programs, The stationary point set map in general parametric optimization problems, Lagrange multipliers, duality, and sensitivity in set-valued convex programming via pointed processes, Fréchet Second-Order Subdifferentials of Lagrangian Functions and Optimality Conditions, On robustness in nonconvex optimization with application to defense planning, Variational Convexity of Functions and Variational Sufficiency in Optimization, Generalized higher-order semi-derivative of the perturbation maps in vector optimization, Connectedness of the solution sets in generalized semi-infinite set optimization, Calculus rules of the generalized concave Kurdyka-Łojasiewicz property, Polyhedral optimization of discrete and partial differential inclusions of parabolic type, Implicit function theorems for continuous mappings and their applications, Estimates for coderivative of solution map in bilevel program, Solution properties of convex sweeping processes with velocity constraints, OPTIMIZATION OF THE NICOLETTI BOUNDARY VALUE PROBLEM FOR SECOND-ORDER DIFFERENTIAL INCLUSIONS, Solution of 3D contact shape optimization problems with Coulomb friction based on TFETI., Subdifferentials of optimal value functions under metric qualification conditions, Formation of a nontrivial finite-time stable attractor in a class of polyhedral sweeping processes with periodic input, Best approximation with geometric constraints, Approximate optimal solutions for multiobjective optimization problems with infinite constraints, Probability functions generated by set-valued mappings: a study of first order information, Unnamed Item