Enlarged Inclusion of Subdifferentials

2005 ◽  
Vol 48 (2) ◽  
pp. 283-301 ◽  
Author(s):  
Lionel Thibault ◽  
Dariusz Zagrodny
Keyword(s):  
Lower Semicontinuous ◽  
Lower Semicontinuous Functions ◽  
The Difference ◽  
Effective Domain ◽  
Semicontinuous Functions

AbstractThis paper studies the integration of inclusion of subdifferentials. Under various verifiable conditions, we obtain that if two proper lower semicontinuous functions f and g have the subdifferential of f included in the γ-enlargement of the subdifferential of g, then the difference of those functions is γ-Lipschitz over their effective domain.

Difference of two strong Światkowski lower semicontinuous functions

2017 ◽  
Vol 67 (1) ◽  
Author(s):  
Robert Menkyna
Keyword(s):  
Lower Semicontinuous ◽  
Lower Semicontinuous Functions ◽  
The Difference ◽  
Semicontinuous Functions

AbstractThe problem of a family functions representable as the difference of two lower semicontinuous strong Światkowski functions is discussed. Particularly, we suggest how to characterize such systems.

Sandwich Theorems for Semicontinuous Operators

1992 ◽  
Vol 35 (4) ◽  
pp. 463-474 ◽  
Author(s):  
J. M. Borwein ◽  
M. Théra
Keyword(s):  
Lower Semicontinuous ◽  
Lower Semicontinuous Functions ◽  
Classical Interpolation ◽  
Semicontinuous Functions

AbstractWe provide vector analogues of the classical interpolation theorems for lower semicontinuous functions due to Dowker and to Hahn and Katetov-Tong.

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