Perturbation analysis of optimization problems in banach spaces

In this paper we study local behavior of optimal solutions of parametric programs in Banach spaces. A general approach to approximation of the original problem by a simpler one is outlined. Under various regularity conditions, Lipschitz continuity and directional differentiability properties of the...

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Bibliographic Details
Published in:Numerical functional analysis and optimization Vol. 13; no. 1-2; pp. 97 - 116
Main Author: Shapiro, Alexander
Format: Journal Article
Language:English
Published: Philadelphia, PA Marcel Dekker, Inc 01.01.1992
Taylor & Francis
Subjects:
directional derivative
Exact sciences and technology
Lipschitz continuity
Mathematics
Nonlinear optimization
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
parametric programming
Sciences and techniques of general use
sensitivity analysis
Approximation
Optimal solution
Perturbation
Differentiation
Banach space
Regularity
Optimization
ISSN:0163-0563, 1532-2467
Online Access:Get full text
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Summary:In this paper we study local behavior of optimal solutions of parametric programs in Banach spaces. A general approach to approximation of the original problem by a simpler one is outlined. Under various regularity conditions, Lipschitz continuity and directional differentiability properties of the optimal solutions are derived.
ISSN:0163-0563
1532-2467
DOI:10.1080/01630569208816463