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Various definitions of the derivative in mathematical programming

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

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Nonlinear programming in Banach spaces
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Geometry of optimality conditions and constraint qualifications
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Linear equations and inequalities on finite dimensional, real or complex, vector spaces: A unified theory
inferredcites →https://doi.org/10.1016/b978-0-12-576350-9.50006-0openalex-snapshot
Differentiability and Related Properties of Nonlinear Operators: Some Aspects of the Role of Differentials in Nonlinear Functional Analysis
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Nonlinear Functional Analysis and Applications
inferredcites →https://doi.org/10.1016/c2013-0-11400-6openalex-snapshot
Nonlinear Programming
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A general theory of extremals
inferredcites →https://doi.org/10.1070/rm1968v023n04abeh003770openalex-snapshot
The various definitions of the derivative in linear topological spaces
inferredcites →https://doi.org/10.1073/pnas.27.6.315openalex-snapshot
A Generalization of Fréchet's Differential
inferredcites →https://doi.org/10.1137/0115028openalex-snapshot
Nonlinear Programming in Banach Space
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Transposition Theorems for Cone-Convex Functions
inferredcites →https://doi.org/10.1137/0304040openalex-snapshot
An Abstract Variational Theory with Applications to a Broad Class of Optimization Problems. I. General Theory
inferredcites →https://doi.org/10.1137/0307016openalex-snapshot
Generalized Kuhn–Tucker Conditions for Mathematical Programming Problems in a Banach Space
inferredcites →https://doi.org/10.1137/1.9781611971255openalex-snapshot
Nonlinear Programming
inferredcites →https://doi.org/10.21136/cmj.1964.100636openalex-snapshot
General theory of differentiability in linear topological spaces
inferredcites →https://doi.org/10.21136/cmj.1966.100737openalex-snapshot
Conditions of differentiability in linear topological spaces
inferredcites →https://doi.org/10.2307/2334042openalex-snapshot
Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability.
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Functional Analysis in Topological Group Spaces
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Topology Of Mappings In Locally Convex Topological Vector Spaces, Their Differentiation And Integration, And Application To Gradient Mappings.

What points at this work

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Bibliography
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Characterizing optimality in mathematical programming models
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Optimality conditions using sum-convex approximations
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On concepts of directional differentiability
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Various definitions of the derivative in mathematical programming — an addendum
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A characterization of tangential regularity
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Properties of field functionals and characterization of local functionals
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Complete characterization of optimality for convex programming in banach spaces†
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Differentiability in optimization theory1
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The geometry of Pareto efficiency over cones
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Differentiable Programming in Banach Spaces
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Regularity and directional differentiability with respect to parameters of solutions to nonlinear switching systems
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Weak Tangent Cones and Optimization in a Banach Space
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Tangent Cones and Convexity
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