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Calculus for parabolic second-order derivatives

https://doi.org/10.1007/bf01027635
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What this work says

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

inferredcites →https://doi.org/10.1007/978-3-642-51682-5_5openalex-snapshot
Second-Order Generalized Derivatives: Comparisons of Two Types of Epi-Derivatives
inferredcites →https://doi.org/10.1007/978-3-662-12603-5_5openalex-snapshot
Variations on the Theme of Nonsmooth Analysis: Another Subdifferential
inferredcites →https://doi.org/10.1007/bf00933151openalex-snapshot
Higher-order necessary conditions in abstract mathematical programming
inferredcites →https://doi.org/10.1007/bf00934107openalex-snapshot
Second-order and related extremality conditions in nonlinear programming
inferredcites →https://doi.org/10.1007/bf00934484openalex-snapshot
Higher-order necessary conditions for infinite and semi-infinite optimization
inferredcites →https://doi.org/10.1007/bf00938539openalex-snapshot
Second-order necessary conditions of the Kuhn-Tucker type under new constraint qualifications
inferredcites →https://doi.org/10.1007/bf00938588openalex-snapshot
Stability and regular points of inequality systems
inferredcites →https://doi.org/10.1007/bf00942193openalex-snapshot
Directional derivatives in nonsmooth optimization
inferredcites →https://doi.org/10.1007/bf01445166openalex-snapshot
Metric regularity, tangent sets, and second-order optimality conditions
inferredcites →https://doi.org/10.1007/bf01580754openalex-snapshot
An envelope-like effect of infinitely many inequality constraints on second-order necessary conditions for minimization problems
inferredcites →https://doi.org/10.1007/bf01580771openalex-snapshot
The upper and lower second order directional derivatives of a sup-type function
inferredcites →https://doi.org/10.1007/bf01585095openalex-snapshot
Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems
inferredcites →https://doi.org/10.1007/bf01761497openalex-snapshot
Tangency and differentiation: Some applications of convergence theory
inferredcites →https://doi.org/10.1007/bfb0120982openalex-snapshot
A unified theory of first and second order conditions for extremum problems in topological vector spaces
inferredcites →https://doi.org/10.1016/0022-247x(91)90254-wopenalex-snapshot
Chain rules for nonsmooth functions
inferredcites →https://doi.org/10.1016/0022-247x(91)90312-nopenalex-snapshot
Variational analysis of a composite function: A formula for the lower second order epi-derivative
inferredcites →https://doi.org/10.1016/0024-3795(85)90276-9openalex-snapshot
A convex sets in general position
inferredcites →https://doi.org/10.1016/0362-546x(85)90012-4openalex-snapshot
Extensions of subgradient calculus with applications to optimization
inferredcites →https://doi.org/10.1016/0362-546x(85)90030-6openalex-snapshot
On second derivatives for nonsmooth functions
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)90055-7openalex-snapshot
Which subgradients have sum formulas?
inferredcites →https://doi.org/10.1016/0362-546x(89)90039-4openalex-snapshot
The hypertangent cone
inferredcites →https://doi.org/10.1073/pnas.39.1.42openalex-snapshot
Minimax Theorems
inferredcites →https://doi.org/10.1080/01630568208816135openalex-snapshot
Necessary and sufficient conditions for quadratic minimality
inferredcites →https://doi.org/10.1080/01630568908816323openalex-snapshot
Quasi-interiorly e-tangent cones to multifunctions
inferredcites →https://doi.org/10.1080/02522667.1989.10698953openalex-snapshot
Directional Derivative Calculus and Optimality Conditions in Nonsmooth Mathematical Programming
inferredcites →https://doi.org/10.1090/s0002-9947-1983-0694379-8openalex-snapshot
Tangent Cones and Quasi-Interiorly Tangent Cones to Multifunctions
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/s0002-9947-1987-0891640-2openalex-snapshot
Convex Subcones of the Contingent Cone in Nonsmooth Calculus and Optimization
inferredcites →https://doi.org/10.1090/s0002-9947-1988-0936806-9openalex-snapshot
First- and Second-Order Epi-Differentiability in Nonlinear Programming
inferredcites →https://doi.org/10.1090/s0002-9947-1991-0992605-3openalex-snapshot
On Pseudo-Differentiability
inferredcites →https://doi.org/10.1112/plms/s3-39.2.331openalex-snapshot
Directionally Lipschitzian Functions and Subdifferential Calculus
inferredcites →https://doi.org/10.1137/0325072openalex-snapshot
Nonsmooth Calculus in Finite Dimensions
inferredcites →https://doi.org/10.1137/1.9781611971309openalex-snapshot
Optimization and Nonsmooth Analysis
inferredcites →https://doi.org/10.1287/moor.13.1.124openalex-snapshot
Second Order Directional Derivatives in Parametric Optimization Problems
inferredcites →https://doi.org/10.1515/9781400873173openalex-snapshot
Convex Analysis
inferredcites →https://doi.org/10.24033/msmf.261openalex-snapshot
New concepts in nondifferentiable programming
inferredcites →https://doi.org/10.4153/cjm-1980-020-7openalex-snapshot
Generalized Directional Derivatives and Subgradients of Nonconvex Functions
inferredcites →https://doi.org/10.4153/cjm-1984-008-7openalex-snapshot
Directionally Lipschitzian Mappings on Baire Spaces
inferredcites →https://doi.org/10.4153/cjm-1993-050-7openalex-snapshot
A Calculus of EPI-Derivatives Applicable to Optimization
inferredcites →https://doi.org/10.5109/13392openalex-snapshot
HIGHER-ORDER VARIATIONAL SETS, VARIATINAL DERIVATIVES AND HIGHER-ORDER NECESSARY CONDITIONS IN ABSTRACT MATHEMATICAL PROGRAMMING

What points at this work

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

inferred← citeshttps://doi.org/10.1007/0-387-23639-2_13openalex-snapshot
Second Order Optimality Conditions for Nonsmooth Multiobjective Optimization Problems
inferred← citeshttps://doi.org/10.1007/0-387-34221-4_13openalex-snapshot
First and second order optimality conditions in set optimization
inferred← citeshttps://doi.org/10.1007/978-1-4614-7621-4_31openalex-snapshot
An Epigraph-Based Approach to Sensitivity Analysis in Set-Valued Optimization
inferred← citeshttps://doi.org/10.1007/978-3-642-54265-7_11openalex-snapshot
Derivatives and Epiderivatives of Set-Valued Maps
inferred← citeshttps://doi.org/10.1007/978-3-642-54265-7_12openalex-snapshot
Optimality Conditions in Set-Valued Optimization
inferred← citeshttps://doi.org/10.1007/978-3-642-54265-7_13openalex-snapshot
Sensitivity Analysis in Set-Valued Optimization and Vector Variational Inequalities
inferred← citeshttps://doi.org/10.1007/978-3-642-54265-7_4openalex-snapshot
Tangent Cones and Tangent Sets
inferred← citeshttps://doi.org/10.1007/978-94-015-8330-5_7openalex-snapshot
Towards Second-Order Methods for Structured Nonsmooth Optimization
inferred← citeshttps://doi.org/10.1007/bf03322575openalex-snapshot
An overview of second order tangent sets and their application to vector optimization
inferred← citeshttps://doi.org/10.1007/s00245-016-9383-zopenalex-snapshot
On Necessary Optimality Conditions for Nonsmooth Vector Optimization Problems with Mixed Constraints in Infinite Dimensions
inferred← citeshttps://doi.org/10.1007/s10107-009-0318-1openalex-snapshot
On second-order Fritz John type optimality conditions in nonsmooth multiobjective programming
inferred← citeshttps://doi.org/10.1007/s101070050029openalex-snapshot
Legendre-type optimality conditions for a variational problem with inequality state constraints
inferred← citeshttps://doi.org/10.1007/s10957-004-1841-0openalex-snapshot
Second-Order Optimality Conditions in Set Optimization
inferred← citeshttps://doi.org/10.1007/s10957-016-0935-9openalex-snapshot
Parabolic Second-Order Directional Differentiability in the Hadamard Sense of the Vector-Valued Functions Associated with Circular Cones
inferred← citeshttps://doi.org/10.1007/s11117-015-0330-zopenalex-snapshot
First and second-order optimality conditions without differentiability in multivalued vector optimization
inferred← citeshttps://doi.org/10.1007/s11117-017-0505-xopenalex-snapshot
Second-order sequence-based necessary optimality conditions in constrained nonsmooth vector optimization and applications
inferred← citeshttps://doi.org/10.1016/0167-6377(96)00006-5openalex-snapshot
A necessary second-order optimality condition in nonsmooth mathematical programming
inferred← citeshttps://doi.org/10.1016/j.amc.2014.11.061openalex-snapshot
First and second-order optimality conditions for nonsmooth vector optimization using set-valued directional derivatives
inferred← citeshttps://doi.org/10.1016/j.jmaa.2007.04.061openalex-snapshot
First- and second-order directional differentiability of locally Lipschitzian functions
inferred← citeshttps://doi.org/10.1016/j.jmaa.2008.07.041openalex-snapshot
A chain rule for first- and second-order epiderivatives and hypoderivatives
inferred← citeshttps://doi.org/10.1016/j.jmaa.2012.12.075openalex-snapshot
Second-order optimality conditions with the envelope-like effect in nonsmooth multiobjective mathematical programming II: Optimality conditions
inferred← citeshttps://doi.org/10.1016/j.jmaa.2012.12.076openalex-snapshot
Second-order optimality conditions with the envelope-like effect in nonsmooth multiobjective mathematical programming I: l -stability and set-valued directional derivatives
inferred← citeshttps://doi.org/10.1016/j.na.2012.09.013openalex-snapshot
Second-order optimality conditions with the envelope-like effect for nonsmooth vector optimization in infinite dimensions
inferred← citeshttps://doi.org/10.1051/ro:2000122openalex-snapshot
Second order optimality conditions for differentiable multiobjective problems
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Second-order optimality conditions in set-valued optimization via asymptotic derivatives
inferred← citeshttps://doi.org/10.1080/02331934.2018.1442448openalex-snapshot
Contingent derivatives and regularization for noncoercive inverse problems
inferred← citeshttps://doi.org/10.1137/16m1100551openalex-snapshot
Higher-Order Optimality Conditions and Higher-Order Tangent Sets
inferred← citeshttps://doi.org/10.1137/s0363012998345925openalex-snapshot
Conjugate Points for Variational Problems with Equality and Inequality State Constraints
inferred← citeshttps://doi.org/10.1287/moor.22.3.747openalex-snapshot
On Lower Bounds of the Second-Order Directional Derivatives of Ben-Tal, Zowe, and Chaney
inferred← citeshttps://doi.org/10.20852/ntmsci.2017.162openalex-snapshot
Existence theorems for second-order radial epiderivatives
inferred← citeshttps://doi.org/10.20852/ntmsci.2018.259openalex-snapshot
Generalized composed radial epiderivatives
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ON SECOND ORDER NECESSARY OPTIMALITY CONDITIONS FOR VECTOR OPTIMIZATION PROBLEMS
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