scholarly journals Nonsmooth Calculus in Finite Dimensions

1987 ◽  
Vol 25 (5) ◽  
pp. 1312-1340 ◽  
Author(s):  
D. E. Ward ◽  
J. M. Borwein
Keyword(s):  
Nonsmooth Calculus

Generalized Euler–Lagrange equation for nonsmooth calculus of variations

2013 ◽  
Vol 75 (1-2) ◽  
pp. 85-100 ◽  
Author(s):  
M. H. Noori Skandari ◽  
A. V. Kamyad ◽  
S. Effati
Keyword(s):  
Calculus Of Variations ◽  
Lagrange Equation ◽  
Nonsmooth Calculus

Smooth and Nonsmooth Calculus

2016 ◽  
pp. 409-616
Author(s):  
Leszek Gasiński ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Nonsmooth Calculus

Smooth and Nonsmooth Calculus

2009 ◽  
pp. 1-61 ◽  
Author(s):  
Nikolaos S. Papageorgiou ◽  
Sophia Th. Kyritsi-Yiallourou
Keyword(s):  
Nonsmooth Calculus

scholarly journals A chain rule for nonsmooth composite functions via minimisation

1994 ◽  
Vol 49 (1) ◽  
pp. 129-137 ◽  
Author(s):  
D. Ralph
Keyword(s):  
Local Minimum ◽  
Chain Rule ◽  
Minimum Point ◽  
Composite Functions ◽  
Nonsmooth Calculus ◽  
Local Minimum Point ◽  
Approximate Subdifferential ◽  
A Chain ◽  
Vector Valued

Nonsmooth calculus using the approximate subdifferential of Mordukhovich and loffe admits a sharper chain rule, hence sharper applications in optimisation, than does the generalised gradient of Clarke. We observe, however, that at a local minimum point of the composition of nonsmooth vector valued and real valued functions, the generalised gradient admits a special, relatively sharp chain rule, that yields sharper results than have been seen before in the context of the generalised gradient.

scholarly journals Nonsmooth calculus

2007 ◽  
Vol 44 (02) ◽  
pp. 163-233 ◽  
Author(s):  
Juha Heinonen
Keyword(s):  
Nonsmooth Calculus
Sign in / Sign up

Export Citation Format

Share Document