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Multiplier rules and the separation of convex sets

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What this work says

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

inferredcites →https://doi.org/10.1007/978-3-0348-0439-4_10openalex-snapshot
Minima of Functions of Several Variables with Inequalities as Side Conditions
inferredcites →https://doi.org/10.1007/978-3-642-48294-6openalex-snapshot
Foundations of Optimization
inferredcites →https://doi.org/10.1007/978-3-662-01569-8_2openalex-snapshot
Necessary Conditions in Mathematical Programming and Optimal Control Theory
inferredcites →https://doi.org/10.1007/bf00250804openalex-snapshot
Univalence and degree for Lipschitz continuous maps
inferredcites →https://doi.org/10.1007/bf00932859openalex-snapshot
Analysis and optimization of Lipschitz continuous mappings
inferredcites →https://doi.org/10.1007/bf00933296openalex-snapshot
A minimal set-valued strong derivative for vector-valued Lipschitz functions
inferredcites →https://doi.org/10.1007/bf01442544openalex-snapshot
Refinements of necessary optimality conditions in nondifferentiable programming I
inferredcites →https://doi.org/10.1007/bf01588951openalex-snapshot
On optimality conditions in nondifferentiable programming
inferredcites →https://doi.org/10.1007/bf02786714openalex-snapshot
Interior mapping theorem with set-valued derivatives
inferredcites →https://doi.org/10.1007/bfb0065313openalex-snapshot
Necessary conditions for optimal control problems with differentiable or nondifferentiable data
inferredcites →https://doi.org/10.1007/bfb0120985openalex-snapshot
Refinements of necessary optimality conditions in nondifferentiable programming II
inferredcites →https://doi.org/10.1016/0016-0032(70)90063-3openalex-snapshot
Theory of optimal control and mathematical programming
inferredcites →https://doi.org/10.1016/0022-0396(76)90017-6openalex-snapshot
Necessary conditions without differentiability assumptions in unilateral control problems
inferredcites →https://doi.org/10.1016/0022-1236(78)90030-7openalex-snapshot
Calcul sous-differentiel et optimisation
inferredcites →https://doi.org/10.1016/0022-247x(67)90163-1openalex-snapshot
The Fritz John necessary optimality conditions in the presence of equality and inequality constraints
inferredcites →https://doi.org/10.1016/0022-247x(82)90038-5openalex-snapshot
Hadamard's theorem for locally Lipschitzian maps
inferredcites →https://doi.org/10.1016/0022-247x(82)90130-5openalex-snapshot
On the Carathéodory-John Multiplier Rule
inferredcites →https://doi.org/10.1016/0022-247x(83)90179-8openalex-snapshot
Homeomorphisms and generalized derivatives
inferredcites →https://doi.org/10.1016/0041-5553(65)90148-5openalex-snapshot
Extremum problems in the presence of restrictions
inferredcites →https://doi.org/10.1016/0305-0548(93)90042-hopenalex-snapshot
Nonlinear programming: theory and algorithms
inferredcites →https://doi.org/10.1017/cbo9780511574795.002openalex-snapshot
Calculus of Variations and Control Theory
inferredcites →https://doi.org/10.1057/jors.1979.231openalex-snapshot
Nonlinear Programming -- Theory and Algorithms
inferredcites →https://doi.org/10.1073/pnas.56.4.1066openalex-snapshot
GENERAL NECESSARY CONDITIONS FOR OPTIMIZATION PROBLEMS
inferredcites →https://doi.org/10.1080/00029890.1973.11993409openalex-snapshot
The Lagrange Multiplier Rule
inferredcites →https://doi.org/10.1080/00029890.1980.11995060openalex-snapshot
Modern Multiplier Rules
inferredcites →https://doi.org/10.1090/s0002-9939-1977-0464022-4openalex-snapshot
A Remark on the Direct Method of the Calculus of Variations
inferredcites →https://doi.org/10.1090/s0002-9947-1975-0367131-6openalex-snapshot
Generalized Gradients and Applications
inferredcites →https://doi.org/10.1137/0312017openalex-snapshot
Implicit Functions and Optimization Problems without Continuous Differentiability of the Data
inferredcites →https://doi.org/10.1137/1.9781611971255openalex-snapshot
Nonlinear Programming
inferredcites →https://doi.org/10.1287/moor.1.2.165openalex-snapshot
A New Approach to Lagrange Multipliers
inferredcites →https://doi.org/10.1515/9781400842643openalex-snapshot
Calculus of Variations and Optimal Control Theory
inferredcites →https://doi.org/10.1525/9780520411586-036openalex-snapshot
Nonlinear Programming
inferredcites →https://doi.org/10.2140/pjm.1976.64.97openalex-snapshot
On the inverse function theorem
inferredcites →https://doi.org/10.2307/2005033openalex-snapshot
Calculus of Variations and Optimal Control Theory
inferredcites →https://doi.org/10.2307/2342482openalex-snapshot
Mathematical Methods and Theory in Games, Programming, and Economics.
inferredcites →https://doi.org/10.2307/2342801openalex-snapshot
Studies in Linear and Non-Linear Programming.
inferredcites →https://doi.org/10.2307/2343863openalex-snapshot
Nonlinear Programming.
inferredcites →https://doi.org/10.2307/3008903openalex-snapshot
Optimization Theory: The Finite Dimensional Case
inferredcites →https://doi.org/10.24033/msmf.261openalex-snapshot
New concepts in nondifferentiable programming

What points at this work

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

inferred← citeshttps://doi.org/10.1007/0-306-48332-7_205openalex-snapshot
Theorems of the alternative and optimization; Vector optimization IMAGE SPACE APPROACH TO OPTIMIZATION
inferred← citeshttps://doi.org/10.1007/0-387-28020-0_5openalex-snapshot
Optimality Conditions. Preliminary Results
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_274openalex-snapshot
Image Space Approach to Optimization
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_1openalex-snapshot
Metric and Topological Tools
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_2openalex-snapshot
Elements of Differential Calculus
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_3openalex-snapshot
Elements of Convex Analysis
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_4openalex-snapshot
Elementary and Viscosity Subdifferentials
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_5openalex-snapshot
Circa-Subdifferentials, Clarke Subdifferentials
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_6openalex-snapshot
Limiting Subdifferentials
inferred← citeshttps://doi.org/10.1007/978-1-4614-4538-8_7openalex-snapshot
Graded Subdifferentials, Ioffe Subdifferentials
inferred← citeshttps://doi.org/10.1007/bf00250804openalex-snapshot
Univalence and degree for Lipschitz continuous maps
inferred← citeshttps://doi.org/10.1007/bf00938802openalex-snapshot
On the image of a constrained extremum problem and some applications to the existence of a minimum
inferred← citeshttps://doi.org/10.1007/bf02191781openalex-snapshot
Sufficient conditions for the existence of multipliers and Lagrangian duality in abstract optimization problems
inferred← citeshttps://doi.org/10.1016/j.jet.2021.105372openalex-snapshot
Pooled testing for quarantine decisions
inferred← citeshttps://doi.org/10.1080/02331938908843494openalex-snapshot
Mean value properties of nondifferentiation functions and their application in nonsmooth analysis
inferred← citeshttps://doi.org/10.1080/02331939608844234openalex-snapshot
Multiplier rules for weak pareto optimization problems
inferred← citeshttps://doi.org/10.2307/2153138openalex-snapshot
Numerical Solution of Optimal Control Problems with State Constraints by Sequential Quadratic Programming in Function Space.
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