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References (20)
-
M. Hieke (1977)
Der Nachweis von Gitterstörungen durch dynamische BeanspruchungZamm-zeitschrift Fur Angewandte Mathematik Und Mechanik, 57
-
E. Levitin (1976)
Differentiability with respect to a parameter of the optimal value in parametric problems of mathematical programmingCybernetics, 12
-
F. Lempio, H. Maurer (1978)
Differentiable Perturbations of Infinite Optimization Problems -
E. S. Levitin (1975)
On the local perturbation theory of a problem of mathematical programming in a Banach spaceSoviet Math. Dokl., 16
-
J. Gauvin, J. Tolle (1977)
Differential Stability in Nonlinear ProgrammingSiam Journal on Control and Optimization, 15
-
E. S. Levitin (1974)
On differential properties of the optimal value of parametric problems of mathematical programmingSoviet Math. Dokl., 15
-
H. Maurer (1976)
Optimale Steuerprozesse mit Zustandsbeschränkungen (Habilitationsschrift) -
F. Lempio (1971)
Separation und Optimierung in linearen Räumen (Dissertation) -
S. Robinson (1976)
First Order Conditions for General Nonlinear OptimizationSiam Journal on Applied Mathematics, 30
-
H. Maurer (1977)
Zur Störungstheorie in der infiniten OptimierungZAMM, 57
-
R. T. Rockafellar (1970)
Convex Analysis -
J. Zowe, S. Kurcyusz (1979)
Regularity and stability for the mathematical programming problem in Banach spacesApplied Mathematics and Optimization, 5
-
S. Robinson (1976)
Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear SystemsSIAM Journal on Numerical Analysis, 13
-
P. Laurent (1972)
Approximation et optimisation -
Frank Lempio (1974)
Bemerkungen zur Lagrangeschen Funktionaldifferentialgleichung -
S. Robinson (1975)
Stability Theory for Systems of Inequalities. Part I: Linear SystemsSIAM Journal on Numerical Analysis, 12
-
J. P. Aubin, F. H. Clarke (1977)
Multiplicateur de Lagrange en optimisation non convexe et applicationsC. R. Acad. Sc. Paris, Série A, 285
-
F. Lempio, H. Maurer (1978)
Optimization and Operations Research, Proceedings of a Workshop Held at the University of Bonn, October 2–8, 1977,Lecture Notes in Economics and Mathematical Systems, 157 -
S. Robinson (1976)
Regularity and Stability for Convex Multivalued FunctionsMath. Oper. Res., 1
-
W. Alt (1979)
Stabilität mengenwertiger Abbildungen mit Anwendungen auf nichlineare Optimierungsprobleme (Dissertation)
- Publisher
- Springer Journals
- Copyright
- Copyright © 1980 by Springer-Verlag New York Inc
- Subject
- Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
- ISSN
- 0095-4616
- eISSN
- 1432-0606
- DOI
- 10.1007/BF01442889
- Publisher site
- See Article on Publisher Site
Abstract
In this paper stability properties of the extremal value function are studied for infinite-dimensional nonlinear optimization problems with differentiable perturbations in the objective function and in the constraints. In particular, upper and lower bounds for the directional derivative of the extremal value function as well as necessary and sufficient conditions for the existence of the directional derivative are given.
Journal
Applied Mathematics and Optimization – Springer Journals
Published: Mar 23, 2005