Perturbation analysis of optimization problems in banach spaces
- 1 January 1992
- journal article
- research article
- Published by Taylor & Francis in Numerical Functional Analysis and Optimization
- Vol. 13 (1-2) , 97-116
- https://doi.org/10.1080/01630569208816463
Abstract
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.Keywords
This publication has 18 references indexed in Scilit:
- Lipschitzian Perturbations of Infinite Optimization ProblemsPublished by Taylor & Francis ,2020
- A Comparative Study of Multifunction Differentiability with Applications in Mathematical ProgrammingMathematics of Operations Research, 1991
- Sensitivity analysis of optimization problems in Hilbert space with application to optimal controlApplied Mathematics & Optimization, 1990
- First and second order sensitivity analysis of nonlinear programs under directional constraint qualification conditionsOptimization, 1990
- Stability of solutions for a class of nonlinear cone constrained optimization problems, part 1: Basic theoryNumerical Functional Analysis and Optimization, 1989
- Directional Behaviour of Optimal Solutions in Nonlinear Mathematical ProgrammingMathematics of Operations Research, 1988
- Stability in Mathematical Programming with Nondifferentiable DataSIAM Journal on Control and Optimization, 1984
- First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problemsMathematical Programming, 1979
- Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear SystemsSIAM Journal on Numerical Analysis, 1976
- Normed convex processesTransactions of the American Mathematical Society, 1972