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Метрическая регулярность и субдифференциальное исчисление
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1006/jmaa.1995.5054openalex-snapshot
Subtraction Theorems and Approximate Openness for Multifunctions: Topological and Infinitesimal Viewpoints
inferredcites →https://doi.org/10.1006/jmaa.1998.6157openalex-snapshot
On the Equivalence of Some Basic Principles in Variational Analysis
inferredcites →https://doi.org/10.1007/978-1-4612-1394-9openalex-snapshot
Perturbation Analysis of Optimization Problems
inferredcites →https://doi.org/10.1007/978-1-4613-8489-2_4openalex-snapshot
The Maximum Principle in Optimal Control of Systems Governed by Semilinear Equations
inferredcites →https://doi.org/10.1007/978-3-642-57592-1_15openalex-snapshot
Towards Metric Theory of Metric Regularity
inferredcites →https://doi.org/10.1007/978-94-011-4560-2_2openalex-snapshot
Multifunctional and functional analytic techniques in nonsmooth analysis
inferredcites →https://doi.org/10.1007/978-94-011-4560-2_8openalex-snapshot
Variational methods in local and global non-smooth analysis
inferredcites →https://doi.org/10.1007/978-94-015-8472-2_4openalex-snapshot
Characterizations of Lipschitz Stability in Optimization
inferredcites →https://doi.org/10.1007/bf00419371openalex-snapshot
Proximal analysis in smooth spaces
inferredcites →https://doi.org/10.1007/bf00941302openalex-snapshot
Lipschitzian inverse functions, directional derivatives, and applications inC 1,1 optimization
inferredcites →https://doi.org/10.1007/bf01033643openalex-snapshot
Metric regularity and subdifferential calculus in Banach spaces
inferredcites →https://doi.org/10.1007/bf01445166openalex-snapshot
Metric regularity, tangent sets, and second-order optimality conditions
inferredcites →https://doi.org/10.1007/bf01580860openalex-snapshot
Approximate subdifferential and metric regularity: The finite-dimensional case
inferredcites →https://doi.org/10.1016/0022-247x(81)90081-0openalex-snapshot
Fat homeomorphisms and unbounded derivate containers
inferredcites →https://doi.org/10.1016/0022-247x(86)90279-9openalex-snapshot
An induction theorem and general open mapping theorems
inferredcites →https://doi.org/10.1016/0022-247x(87)90149-1openalex-snapshot
An open mapping principle for set-valued maps
inferredcites →https://doi.org/10.1016/0022-247x(88)90034-0openalex-snapshot
Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps
inferredcites →https://doi.org/10.1016/0362-546x(85)90095-1openalex-snapshot
Tangential approximations
inferredcites →https://doi.org/10.1016/0362-546x(87)90073-3openalex-snapshot
On the local surjection property
inferredcites →https://doi.org/10.1016/0362-546x(88)90013-2openalex-snapshot
On classes of subdifferentiability spaces of Ioffe
inferredcites →https://doi.org/10.1016/0362-546x(89)90083-7openalex-snapshot
Metric regularity, openness and Lipschitzian behavior of multifunctions
inferredcites →https://doi.org/10.1016/0362-546x(94)00256-hopenalex-snapshot
Differential characterizations of covering, metric regularity, and Lipschitzian properties of multifunctions between Banach spaces
inferredcites →https://doi.org/10.1016/s0294-1449(16)30191-3openalex-snapshot
Mountain pass theorems and global homeomorphism theorems
inferredcites →https://doi.org/10.1016/s0294-1449(16)30300-6openalex-snapshot
Some inverse mapping theorems
inferredcites →https://doi.org/10.1016/s0294-1449(17)30026-4openalex-snapshot
High Order Inverse Function Theorems
inferredcites →https://doi.org/10.1016/s0362-546x(01)00129-8openalex-snapshot
Variational pairs and applications to stability in nonsmooth analysis
inferredcites →https://doi.org/10.1016/s0362-546x(98)00031-5openalex-snapshot
Coderivatives of multivalued mappings, locally compact cones and metric regularity
inferredcites →https://doi.org/10.1016/s0362-546x(98)00142-4openalex-snapshot
A survey of subdifferential calculus with applications
inferredcites →https://doi.org/10.1016/s0362-546x(99)00321-1openalex-snapshot
First-order rules for nonsmooth constrained optimization
inferredcites →https://doi.org/10.1023/a:1008614315547openalex-snapshot
Fuzzy Principles and Characterization of Trustworthiness
inferredcites →https://doi.org/10.1023/a:1008625212506openalex-snapshot
Metric Estimates for the Calculus of Multimappings
inferredcites →https://doi.org/10.1023/a:1008656207314openalex-snapshot
The Equivalence of Several Basic Theorems for Subdifferentials
inferredcites →https://doi.org/10.1023/a:1008746317549openalex-snapshot
Compactness Properties, Openness Criteria and Coderivatives
inferredcites →https://doi.org/10.1080/00029890.1974.11993706openalex-snapshot
Strong Derivatives and Inverse Mappings
inferredcites →https://doi.org/10.1080/01630568008816071openalex-snapshot
Implicit function theorems and lagrange multipliers
inferredcites →https://doi.org/10.1080/02331938808843391openalex-snapshot
A covering theorem for set-valued mappings
inferredcites →https://doi.org/10.1090/mmono/180openalex-snapshot
Calculus of Variations and Optimal Control
inferredcites →https://doi.org/10.1090/pspum/007/0154092openalex-snapshot
The support functionals of a convex set
inferredcites →https://doi.org/10.1090/s0002-9939-1961-0126146-9openalex-snapshot
A Note on Inverse Function Theorems
inferredcites →https://doi.org/10.1090/s0002-9939-1994-1215027-7openalex-snapshot
An Inverse Mapping Theorem for Set-Valued Maps
inferredcites →https://doi.org/10.1090/s0002-9947-1979-0531969-6openalex-snapshot
Regular Points of Lipschitz Functions
inferredcites →https://doi.org/10.1090/s0002-9947-1984-0719677-1openalex-snapshot
Approximate Subdifferentials and Applications. I: The Finite Dimensional Theory
inferredcites →https://doi.org/10.1090/s0002-9947-1993-1156300-4openalex-snapshot
Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
inferredcites →https://doi.org/10.1090/s0002-9947-1994-1242786-4openalex-snapshot
Stability Theory for Parametric Generalized Equations and Variational Inequalities Via Nonsmooth Analysis
inferredcites →https://doi.org/10.1090/s0002-9947-1995-1290719-8openalex-snapshot
Verifiable Conditions for Openness and Regularity of Multivalued Mappings in Banach Spaces
inferredcites →https://doi.org/10.1090/s0002-9947-96-01543-7openalex-snapshot
Nonsmooth sequential analysis in Asplund spaces
inferredcites →https://doi.org/10.1090/s0273-0979-1979-14595-6openalex-snapshot
Nonconvex minimization problems
inferredcites →https://doi.org/10.1112/s0025579300013541openalex-snapshot
Approximate subdifferentials and applications 3: the metric theory
inferredcites →https://doi.org/10.1137/0322017openalex-snapshot
Stability in Mathematical Programming with Nondifferentiable Data
inferredcites →https://doi.org/10.1137/0713043openalex-snapshot
Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
inferredcites →https://doi.org/10.1137/s0363012994278171openalex-snapshot
Stablity of Set-Valued Mappings In Infinite Dimensions: Point Criteria and Applications
inferredcites →https://doi.org/10.1137/s1052623499353169openalex-snapshot
Subdifferential Calculus and Nonsmooth Critical Point Theory
inferredcites →https://doi.org/10.12775/tmna.1993.012openalex-snapshot
Deformation properties for continuous functionals and critical point theory
inferredcites →https://doi.org/10.1287/moor.1.2.130openalex-snapshot
Regularity and Stability for Convex Multivalued Functions
inferredcites →https://doi.org/10.1287/moor.19.3.753openalex-snapshot
Implicit Functions, Lipschitz Maps, and Stability in Optimization
inferredcites →https://doi.org/10.1287/moor.5.1.43openalex-snapshot
Strongly Regular Generalized Equations
inferredcites →https://doi.org/10.1287/moor.9.1.87openalex-snapshot
Lipschitz Behavior of Solutions to Convex Minimization Problems
inferredcites →https://doi.org/10.1287/moor.9.2.159openalex-snapshot
Necessary Conditions in Nonsmooth Optimization
inferredcites →https://doi.org/10.21136/cmj.1974.101265openalex-snapshot
A quantitative refinement of the closed graph theorem
inferredcites →https://doi.org/10.21136/cmj.1975.101337openalex-snapshot
Multifunctions with convex closed graph
inferredcites →https://doi.org/10.2140/pjm.1969.30.475openalex-snapshot
Multi-valued contraction mappings
inferredcites →https://doi.org/10.2140/pjm.1976.64.97openalex-snapshot
On the inverse function theorem
inferredcites →https://doi.org/10.2307/1997470openalex-snapshot
Generic Frechet-Differentiability and Perturbed Optimization Problems in Banach Spaces
inferredcites →https://doi.org/10.2307/1998386openalex-snapshot
Nonsmooth Analysis: Differential Calculus of Nondifferentiable Mappings
inferredcites →https://doi.org/10.4064/sm-2-1-1-6openalex-snapshot
Über die Umkehrung linearer, stetiger Funktionaloperationen
inferredcites →https://doi.org/10.4213/mzm2839openalex-snapshot
Несколько замечаний о вариационных принципах
inferredcites →https://doi.org/10.6028/jres.049.027openalex-snapshot
On approximate solutions of systems of linear inequalities
inferredcites →https://doi.org/10.68381/jca02004openalex-snapshot
Weak* Sequential Compactness and Bornological Limit Derivatives
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Ekeland Duality as a Paradigm
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Distance to the Solution Set of an Inequality with an Increasing Function
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Metric Regularity in Infinite Dimensions
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Variational analysis and mathematical economics 1: Subdifferential calculus and the second theorem of welfare economics
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Constraint Qualification with Schauder Basis for Infinite Programming Problems
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A Versatile Approach to Metric Regularity, Openness, and Lipschitzian Properties
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Nonsmooth Kantorovich–Newton Methods: Hypotheses and Auxiliary Problems
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Chain rules for linear openness in metric spaces and applications
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A note on Robinson–Ursescu and Lyusternik–Graves theorem
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Nonsmooth optimization using Taylor-like models: error bounds, convergence, and termination criteria
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A slope generalization of Attouch theorem
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Transversality and Alternating Projections for Nonconvex Sets
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A Lyusternik–Graves theorem for the proximal point method
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Stability of Indices in the KKT Conditions and Metric Regularity in Convex Semi-Infinite Optimization
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Stability Results of Variational Systems Under Openness with Respect to Fixed Sets
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Pseudo-contractivity and Metric Regularity in Fixed Point Theory
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Tikhonov regularization of metrically regular inclusions
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Perturbations and Metric Regularity
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Convex Difference Criteria for the Quantitative Stability of Parametric Quasidifferentiable Systems
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On Metric and Calmness Qualification Conditions in Subdifferential Calculus
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Metric Subregularity of Composition Set-Valued Mappings with Applications to Fixed Point Theory
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Implicit Functions: a Metric Theory
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Point-Based Neighborhoods for Sharp Calmness Constants in Linear Programming
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Hölder Error Bounds and Hölder Calmness with Applications to Convex Semi-infinite Optimization
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On the Quantitative Solution Stability of Parameterized Set-Valued Inclusions
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Lipschitz Stability in Convex Optimization
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Stability Analysis of Parameterized Models Relative to Nonconvex Constraints
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An approach to calmness of linear inequality systems from Farkas lemma
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Metric regularity, fixed points and some associated problems of variational analysis
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Robinson metric regularity of parametric variational systems
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Openness stability and implicit multifunction theorems: Applications to variational systems
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METRIC REGULARITY—A SURVEY PART II. APPLICATIONS
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METRIC REGULARITY—A SURVEY PART 1. THEORY
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On Perturbation Stability of Metric Regularity
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On a Characterization of C 1,1 Functions
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Regularity and Conditioning of Solution Mappings in Variational Analysis
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Lipschitz modulus in convex semi-infinite optimizationviad.c. functions
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Regularity of implicit solution mapping to parametric generalized equation
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Approximation of Fixed Points of Metrically Regular Mappings
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Inverse of the Sum of Set-Valued Mappings and Applications
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Fréchet quasidifferential calculus with applications to metric regularity of continuous maps
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Exhausters and subdifferentials in non-smooth analysis
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Separable reduction revisited
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Calmness of partially perturbed linear systems with an application to the central path
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An induction theorem and Ekeland's variational principle in partial metric spaces with applications
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On Lipschitz-like continuity of a class of set-valued mappings
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Stability of coincidence points and properties of covering mappings
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Inverse and implicit function theorems in the class of subsmooth maps
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Stability theorem and extremum conditions for abnormal problems
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Directional metric regularity of mappings and stability theorems
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Covering mappings in metric spaces and fixed points
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Stability of coincidence points and set-valued covering maps in metric spaces
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Various Lipschitz-like Properties for Functions and Sets I: Directional Derivative and Tangential Characterizations
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Metric Regularity of Newton's Iteration
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Generic Minimizing Behavior in Semialgebraic Optimization
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Error Bounds and Multipliers in Constrained Optimization Problems with Tolerance
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Stochastic Optimization Over Proximally Smooth Sets
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Ample Parameterization of Variational Inclusions
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Condition Number Theorems in Optimization
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Calmness and Error Bounds for Convex Constraint Systems
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Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality
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Error Bounds, Quadratic Growth, and Linear Convergence of Proximal Methods
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Устойчивость точек совпадения и свойства накрывающих отображений
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A Local Selection Theorem for Metrically Regular Mappings
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Aubin Criterion for Metric Regularity
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The Fitzpatrick Rate, the Stepanov Rate, the Lipschitz Rate and their Relatives
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Directional Hölder Metric Subregularity and Application to Tangent Cones
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Various Lipschitz-Like Properties for Functions and Sets. II: Subdifferential and Normal Characterizations
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Convergence de Fisher et H-différentiabilité des applications multivoques
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