Separable reduction and extremal principles in variational analysis

Nonlinear Analysis, Theory, Methods and Applications

Volumn 49, Issue 2, 2002, Pages 265-292

  Fabian, Marián ^a   Mordukhovich, Boris S ^b  

^a MATHEMATICAL INSTITUTE   (Czech Republic)

^b WAYNE STATE UNIVERSITY   (United States)

Author keywords

Banach and Asplund spaces; Extremal and variational principles; Fr chet like normals and subdifferentials; Separable reduction; Variational analysis

Indexed keywords

CONSTRAINT THEORY; OPTIMIZATION; SET THEORY; THEOREM PROVING;

VARIATIONAL ANALYSIS;

VARIATIONAL TECHNIQUES;

EID: 0036532707     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00107-9     Document Type: Article

References (13)

1. A smooth variational principle with applications to subdifferentiability and differentiability of convex functions
2. A survey of subdifferential calculus with applications
3. Generic Fréchet differentiability and perturbed optimization problems in Banach spaces
4. Subdifferentials, local ε-supports and Asplund spaces
5. Subdifferentiability and trustworthiness in the light of the smooth variational principle of Borwein and Preiss
6. Nonsmooth characterizations of Asplund spaces and smooth variational principles
7. Separable reduction and supporting properties of Fréchet-like normals in Banach spaces
8. Extremal points and the Euler equation in nonsmooth optimization
9. Extremal characterizations of Asplund spaces
10. Nonsmooth sequential analysis in Asplund spaces
11. Convex Functions, Monotone Operators and Differentiability, 2nd Edition