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Qualification conditions for multivalued functions in Banach spaces with applications to nonsmooth vector optimization problems

https://doi.org/10.1007/bf01581135
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf00935364openalex-snapshot
Weak Pareto-optimal necessary conditions in a nondifferentiable multiobjective program on a Banach space
inferredcites →https://doi.org/10.1007/bf00938588openalex-snapshot
Stability and regular points of inequality systems
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Optimality conditions for directionally differentiable multi-objective programming problems
inferredcites →https://doi.org/10.1007/bf00941297openalex-snapshot
Local stability of solutions to differentiable optimization problems in banach spaces
inferredcites →https://doi.org/10.1007/bf01184156openalex-snapshot
Second-order conditions and constraint qualifications in stability and sensitivity analysis of solutions to optimization problems in Hilbert spaces
inferredcites →https://doi.org/10.1007/bf01218398openalex-snapshot
Correction: On implicit function theorems for set-valued maps and their application to mathematical programming under inclusion constraints
inferredcites →https://doi.org/10.1007/bf01261993openalex-snapshot
Metric regularity of the feasible set mapping in semi-infinite optimization
inferredcites →https://doi.org/10.1007/bf01442543openalex-snapshot
Regularity and stability for the mathematical programming problem 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/bf01447734openalex-snapshot
On implicit function theorems for set-valued maps and their application to mathematical programming under inclusion constraints
inferredcites →https://doi.org/10.1007/bf01580860openalex-snapshot
Approximate subdifferential and metric regularity: The finite-dimensional case
inferredcites →https://doi.org/10.1007/bf01588302openalex-snapshot
On conditions to have bounded multipliers in locally lipschitz programming
inferredcites →https://doi.org/10.1007/bf01593777openalex-snapshot
A necessary and sufficient regularity condition to have bounded multipliers in nonconvex programming
inferredcites →https://doi.org/10.1007/bf01604503openalex-snapshot
Journal of Mathematical Analysis and Applications
inferredcites →https://doi.org/10.1007/bf02190315openalex-snapshot
Metric regularity and second-order necessary optimality conditions for minimization problems under inclusion constraints
inferredcites →https://doi.org/10.1007/bf02191853openalex-snapshot
A Fritz John optimality condition using the approximate subdifferential
inferredcites →https://doi.org/10.1007/bf02193099openalex-snapshot
Constraint qualifications and Lagrange multipliers in nondifferentiable programming problems
inferredcites →https://doi.org/10.1007/bfb0120988openalex-snapshot
On regularity conditions in mathematical programming
inferredcites →https://doi.org/10.1007/bfb0121219openalex-snapshot
Directional differentiability of the optimal value function in a nonlinear programming problem
inferredcites →https://doi.org/10.1016/0022-247x(74)90025-0openalex-snapshot
On the variational principle
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)90024-0openalex-snapshot
Lipschitzian properties of multifunctions
inferredcites →https://doi.org/10.1016/0362-546x(85)90095-1openalex-snapshot
Tangential approximations
inferredcites →https://doi.org/10.1016/0362-546x(87)90008-3openalex-snapshot
Epi-Lipschitz-like sets in Banach space: theorems and examples
inferredcites →https://doi.org/10.1016/0362-546x(88)90091-0openalex-snapshot
Stability of efficient sets: continuity of mobile polarities
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/s0076-5392(09)x6017-0openalex-snapshot
Theory of Multiobjective Optimization
inferredcites →https://doi.org/10.1017/s0004972700015276openalex-snapshot
The approximate subdifferential of composite functions
inferredcites →https://doi.org/10.1017/s0004972700016142openalex-snapshot
A note on Fréchet and approximate subdifferentials of composite functions
inferredcites →https://doi.org/10.1080/01630569308816508openalex-snapshot
Regularity and strong sufficient optimality conditions in differentiable optimization problems
inferredcites →https://doi.org/10.1080/01630569408816587openalex-snapshot
On lagrange-kuhn-tucker multipliers for pareto optimization problems
inferredcites →https://doi.org/10.1080/02331938808843391openalex-snapshot
A covering theorem for set-valued mappings
inferredcites →https://doi.org/10.1080/02331939008843574openalex-snapshot
The use of metric graphical regularity in approximate subdifferential calculus rules in finite dimensions
inferredcites →https://doi.org/10.1080/02331939208843857openalex-snapshot
Lagrange multiplers for pareto nonsmooth programming problems in banach spaces
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/10.1112/plms/s3-39.2.331openalex-snapshot
Directionally Lipschitzian Functions and Subdifferential Calculus
inferredcites →https://doi.org/10.1112/s0025579300013541openalex-snapshot
Approximate subdifferentials and applications 3: the metric theory
inferredcites →https://doi.org/10.1112/s0025579300013930openalex-snapshot
Approximate subdifferentials and applications II
inferredcites →https://doi.org/10.1137/0322033openalex-snapshot
Differentiability of Relations and Differential Stability of Perturbed Optimization Problems
inferredcites →https://doi.org/10.1137/0325072openalex-snapshot
Nonsmooth Calculus in Finite Dimensions
inferredcites →https://doi.org/10.1137/0329056openalex-snapshot
On Subdifferentials of Optimal Value Functions
inferredcites →https://doi.org/10.1137/0713043openalex-snapshot
Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
inferredcites →https://doi.org/10.1137/1.9781611971309openalex-snapshot
Optimization and Nonsmooth Analysis
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.13.4.629openalex-snapshot
Directional Behaviour of Optimal Solutions in Nonlinear Mathematical Programming
inferredcites →https://doi.org/10.1287/moor.18.2.390openalex-snapshot
Approximations and Metric Regularity in Mathematical Programming in Banach Space
inferredcites →https://doi.org/10.1287/moor.9.1.87openalex-snapshot
Lipschitz Behavior of Solutions to Convex Minimization Problems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Lagrange Multipliers for Multiobjective Programs with a General Preference
inferred← citeshttps://doi.org/10.1007/s11766-026-4981-2openalex-snapshot
Optimality analysis for nonsmooth vector equilibrium problems with constraints via generalized subdifferentials
inferred← citeshttps://doi.org/10.1007/s41980-024-00904-wopenalex-snapshot
Higher-Order Efficiency Conditions for Vector Nonsmooth Optimization Problems Using the Higher-Order Gâteaux Derivatives
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A finite dimensional extension of Lyusternik theorem with applications to multiobjective optimization
inferred← citeshttps://doi.org/10.1016/s0362-546x(98)00031-5openalex-snapshot
Coderivatives of multivalued mappings, locally compact cones and metric regularity
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Metric Estimates for the Calculus of Multimappings
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On Lagrange Multiplier Rules for Set-Valued Optimization Problems in the Sense of Set Criterion
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Infinite-dimensional vector optimization and a separation theorem
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Existence of Lagrange multipliers for set optimization with application to vector equilibrium problems
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Compactly epi-lipschitzian sets and a-subdifferentials in wt-spaces
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Necessary conditions for extremality and separation theorems with applications to multiobjective optimization
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Verifiable Conditions for Openness and Regularity of Multivalued Mappings in Banach Spaces
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Error Bounds and Multipliers in Constrained Optimization Problems with Tolerance
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Existence of Lagrange Multipliers under Gâteaux Differentiable Data with Applications to Stochastic Optimal Control Problems
inferred← citeshttps://doi.org/10.1137/21m1428674openalex-snapshot
Error Bound Characterizations of the Conical Constraint Qualification in Convex Programming
inferred← citeshttps://doi.org/10.1137/s0363012998339216openalex-snapshot
Hoffman's Error Bound, Local Controllability, and Sensitivity Analysis
inferred← citeshttps://doi.org/10.48550/arxiv.1810.11617openalex-snapshot
Metric regularity under Gâteaux differentiability with applications to optimization and stochastic optimal control problems
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Existence of a Continuous Solution of Parametric Nonlinear Equation with Constraints
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