The use of metric graphical regularity in approximate subdifferential calculus rules in finite dimensions

Optimization ◽  
1990 ◽  
Vol 21 (4) ◽  
pp. 509-519 ◽  
Author(s):  
A. Jourani ◽  
L. Thibault
Keyword(s):  
Subdifferential Calculus ◽  
Calculus Rules ◽  
Approximate Subdifferential

Extensions Of Subdifferential Calculus Rules in Banach Spaces

1996 ◽  
Vol 48 (4) ◽  
pp. 834-848 ◽  
Author(s):  
A. Jourani ◽  
L. Thibault
Keyword(s):  
Banach Spaces ◽  
Clarke Subdifferential ◽  
Subdifferential Calculus ◽  
Finite Dimensional ◽  
Calculus Rules ◽  
Approximate Subdifferential ◽  
The Clarke Subdifferential

AbstractThis paper is devoted to extending formulas for the geometric approximate subdifferential and the Clarke subdifferential of extended-real-valued functions on Banach spaces. The results are strong enough to include completely the finite dimensional setting.

scholarly journals Subdifferential Calculus Rules in Convex Analysis: A Unifying Approach Via Pointwise Supremum Functions

2008 ◽  
Vol 19 (2) ◽  
pp. 863-882 ◽  
Author(s):  
A. Hantoute ◽  
M. A. López ◽  
C. Zălinescu
Keyword(s):  
Convex Analysis ◽  
Subdifferential Calculus ◽  
Calculus Rules

scholarly journals Subdifferential Calculus Rules for Supremum Functions in Convex Analysis

2011 ◽  
Vol 21 (3) ◽  
pp. 782-797 ◽  
Author(s):  
Chong Li ◽  
K. F. Ng
Keyword(s):  
Convex Analysis ◽  
Subdifferential Calculus ◽  
Calculus Rules

Characterizations of convex approximate subdifferential calculus in Banach spaces

2015 ◽  
Vol 368 (7) ◽  
pp. 4831-4854 ◽  
Author(s):  
R. Correa ◽  
A. Hantoute ◽  
A. Jourani
Keyword(s):  
Banach Spaces ◽  
Subdifferential Calculus ◽  
Approximate Subdifferential

Subdifferential Calculus Rules for Possibly Nonconvex Integral Functions

2020 ◽  
Vol 58 (1) ◽  
pp. 462-484 ◽  
Author(s):  
Rafael Correa ◽  
Abderrahim Hantoute ◽  
Pedro Pérez-Aros
Keyword(s):  
Subdifferential Calculus ◽  
Calculus Rules

Generalized Lipatov-Altarelli-Parisi equations and jet calculus rules

1979 ◽  
Vol 84 (2) ◽  
pp. 266-270 ◽  
Author(s):  
R. Kirschner
Keyword(s):  
Calculus Rules

Pareto Subdifferential Calculus for Convex Vector Mappings and Applications to Vector Optimization

2009 ◽  
Vol 19 (4) ◽  
pp. 1970-1994 ◽  
Author(s):  
Mounir El Maghri ◽  
Mohamed Laghdir
Keyword(s):  
Vector Optimization ◽  
Subdifferential Calculus
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