scientific article

Boris S. Mordukhovich, Alexander Y. Kruger

Publication date: 1980

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Euler equation nonconvex problem extremal points nonsmooth optimization problems

Methods involving semicontinuity and convergence; relaxation (49J45) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items

Generalized derivatives and nonsmooth optimization, a finite dimensional tour (with comments and rejoinder), Properties of generalized differentials, Necessary conditions for non-intersection of collections of sets, A Fritz John optimality condition using the approximate subdifferential, ε-Subdifferential and ε-monotonicity, Separable reduction and extremal principles in variational analysis., Metric regularity and subdifferential calculus in Banach spaces, About extensions of the extremal principle, The Ekeland variational principle for Henig proper minimizers and super minimizers, Topological properties of the approximate subdifferential, Lagrange multipliers theorem and saddle point optimality criteria in mathematical programming, Finite-dimensional optimality conditions: B-gradients, Necessary conditions for an extremum in nonsmooth optimal control problems with discrete time, Qualification conditions for calculus rules of coderivatives of multivalued mappings, Existence theorems in vector optimization with generalized order, Tangential extremal principles for finite and infinite systems of sets. I: Basic theory, Optimality conditions, approximate stationarity, and applications – a story beyond lipschitzness, Limiting subdifferential calculus and perturbed distance function in Riemannian manifolds, Stationarity and regularity of infinite collections of sets: applications to infinitely constrained optimization, Proximal and Fréchet normal formulae for some small normal cones in Hilbert space, Fréchet subdifferential calculus for interval-valued functions and its applications in nonsmooth interval optimization, Stationarity and regularity of infinite collections of sets, Global attractors for gradient flows in metric spaces, Exact separation theorem for disjoint closed sets in Hilbert spaces, On strong limiting subdifferential calculus in separable binormed spaces, \( L^2 \)-gradient flows of spectral functionals, Metric regularity for strongly compactly Lipschitzian mappings, Nonlinear Cone Separation Theorems in Real Topological Linear Spaces, Fuzzy multiplier, sum and intersection rules in non-Lipschitzian settings: decoupling approach revisited, The Ekeland variational principle for set-valued maps involving coderivatives, Separable reduction in the theory of Fréchet subdifferentials, Extremal characterizations of asplund spaces, Fuzzy calculus for coderivatives of multifunctions, On systems of Cahn-Hilliard and Allen-Cahn equations considered as gradient flows in Hilbert spaces, Lagrange necessary conditions for Pareto minimizers in Asplund spaces and applications, Optimality conditions for various efficient solutions involving coderivatives: from set-valued optimization problems to set-valued equilibrium problems, Limiting subdifferentials of perturbed distance functions in Banach spaces, On the fuzzy intersection rule, Nonsmooth sequential analysis in Asplund spaces, A unified concept of approximate and quasi efficient solutions and associated subdifferentials in multiobjective optimization, New extremal principles with applications to stochastic and semi-infinite programming, Special Issue dedicated to the 65th birthday of Alexander Kruger, coderivatives of set-valued mappings: Calculus and applications, Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions, Shrinking generalized gradients, Necessary conditions for constrained optimization problems with semicontinuous and continuous data, Metric regularity of the sum of multifunctions and applications, On the calculus of limiting subhessians, Improvement sets and vector optimization, Necessary and sufficient conditions for linear suboptimality in constrained optimization, Metric regularity and systems of generalized equations, Softness, sleekness and regularity properties in nonsmooth analysis, Coderivatives of the generalized perturbation maps, First-order rules for nonsmooth constrained optimization, Stability Theory for Parametric Generalized Equations and Variational Inequalities Via Nonsmooth Analysis, A nonconvex separation property and some applications, Subdifferential representation formula and subdifferential criteria for the behavior of nonsmooth functions, About regularity of collections of sets, On various notions of regularity of sets in nonsmooth analysis, Lagrange Multiplier Rules for Weakly Minimal Solutions of Compact-Valued Set Optimization Problems, Metric regularity: characterizations, nonsmooth variations and successive approximation^∗, Estimates of Error Bounds for Some Sets of Efficient Solutions of a Set-Valued Optimization Problem, On a separation principle for nonconvex sets, Separation theorems for nonconvex sets and application in optimization, Characterizations of linear suboptimality for mathematical programs with equilibrium constraints, Approximate subdifferential and metric regularity: The finite-dimensional case, On the equivalence of some basic principles in variational analysis, Extremality, stationarity and generalized separation of collections of sets, Nonsmooth Analysis: Differential Calculus of Nondifferentiable Mappings, Gradient flows of non convex functionals in Hilbert spaces and applications, A separation theorem for nonlinear inverse images of convex sets, Characterizations of the Free Disposal Condition for Nonconvex Economies on Infinite Dimensional Commodity Spaces, An abstract extremal principle with applications to welfare economics, Subgradient of distance functions with applications to Lipschitzian stability, Necessary conditions for an extremum in nonsmooth problems, Bilevel Optimization and Variational Analysis, Quasidifferentiability of real-valued functions and local extremum conditions, Existence of Lagrange multipliers for set optimization with application to vector equilibrium problems, Coderivatives of multivalued mappings, locally compact cones and metric regularity, Extensions of Fréchet \(\varepsilon\)-subdifferential calculus and applications, Generalized differentials of nonsmooth functions, and necessary conditions for an extremum, Lipschitzian inverse functions, directional derivatives, and applications in \(C^{1,1}\) optimization, Subdifferentiation of regularized functions, Coderivatives of gap function for minty vector variational inequality