Article
Licensed
Unlicensed
Requires Authentication
Mixed Coderivatives of Set–Valued Mappings in Variational Analysis
-
B. S. Mordukhovich
Published/Copyright:
June 4, 2010
Abstract
We consider a refined coderivative construction for nonsmooth and set-valued mappings between Banach spaces. This limiting mixed coderivative is different from “normal” coderivatives generated by normal cones/subdifferentials and turns out to be useful for studying some basic propertiers in variational analysis particularly related to Lipschitzian stability. We develop a strong calculus for this coderivative important for various applications.
Key words and phrases.: Multifunctions and nonsmooth mappings; Banach and Asplund spaces; generalized differentiation; Lipschitzian stability; variational analysis
Received: 1998-06-09
Published Online: 2010-06-04
Published in Print: 1998-December
© Heldermann Verlag
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Flows of Quantum Noise
- A Result Related to the Problem CN of Fremlin
- On Nonstationary Motion of a Compressible Barotropic Viscous Fluid with Boundary Slip Condition
- A New Generalization of Browder Fixed Point Theorem with Applications
- Oscillatory Solutions of a Class of Nonlinear Impulsive Differential Equations of First Order with Retarded Argument
- A New Version of the Multivalued Fatou Lemma
- Higher–Order Necessary Optimality Conditions for a Nonsmooth Extremum Problem
- Uncoupling Measures and Eigenvalues of Stochastic Matrices
- Mixed Coderivatives of Set–Valued Mappings in Variational Analysis
Keywords for this article
Multifunctions and nonsmooth mappings;
Banach and Asplund spaces;
generalized differentiation;
Lipschitzian stability;
variational analysis
Articles in the same Issue
- Flows of Quantum Noise
- A Result Related to the Problem CN of Fremlin
- On Nonstationary Motion of a Compressible Barotropic Viscous Fluid with Boundary Slip Condition
- A New Generalization of Browder Fixed Point Theorem with Applications
- Oscillatory Solutions of a Class of Nonlinear Impulsive Differential Equations of First Order with Retarded Argument
- A New Version of the Multivalued Fatou Lemma
- Higher–Order Necessary Optimality Conditions for a Nonsmooth Extremum Problem
- Uncoupling Measures and Eigenvalues of Stochastic Matrices
- Mixed Coderivatives of Set–Valued Mappings in Variational Analysis
