Some characterizations of error bound for non-lower 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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Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/s0294-1449(16)30389-4 ◽

1986 ◽

Vol 3 (2) ◽

pp. 77-109 ◽

Cited By ~ 178

Author(s):

Andrzej Szulkin

Keyword(s):

Boundary Value Problems ◽

Nonlinear Boundary ◽

Lower Semicontinuous ◽

Boundary Value ◽

Nonlinear Boundary Value Problems ◽

Lower Semicontinuous Functions ◽

Nonlinear Boundary Value ◽

Semicontinuous Functions

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Error bounds for systems of lower semicontinuous functions in Asplund spaces

Mathematical Programming ◽

10.1007/s10107-007-0121-9 ◽

2007 ◽

Vol 116 (1-2) ◽

pp. 397-427 ◽

Cited By ~ 50

Author(s):

Huynh van Ngai ◽

Michel Théra

Keyword(s):

Error Bounds ◽

Lower Semicontinuous ◽

Lower Semicontinuous Functions ◽

Asplund Spaces ◽

Semicontinuous Functions

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A role of lower semicontinuous functions in the combinatorial complexity of geometric problems

Journal of Complexity ◽

10.1016/0885-064x(91)90004-h ◽

1991 ◽

Vol 7 (2) ◽

pp. 174-183

Author(s):

Jerzy W Jaromczyk ◽

Grzegorz Świştek

Keyword(s):

Lower Semicontinuous ◽

Combinatorial Complexity ◽

Lower Semicontinuous Functions ◽

Geometric Problems ◽

Semicontinuous Functions

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Mean value property and subdifferential criteria for lower semicontinuous functions

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1995-1307998-0 ◽

1995 ◽

Vol 347 (10) ◽

pp. 4147-4161 ◽

Cited By ~ 49

Author(s):

Didier Aussel ◽

Jean-Noël Corvellec ◽

Marc Lassonde

Keyword(s):

Lower Semicontinuous ◽

Mean Value ◽

Mean Value Property ◽

Lower Semicontinuous Functions ◽

Semicontinuous Functions

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Linear and nonlinear error bounds for lower semicontinuous functions

Optimization Letters ◽

10.1007/s11590-013-0648-z ◽

2013 ◽

Vol 8 (4) ◽

pp. 1301-1312 ◽

Cited By ~ 4

Author(s):

Mian-tao Chao ◽

Cao-zong Cheng

Keyword(s):

Error Bounds ◽

Lower Semicontinuous ◽

Nonlinear Error ◽

Lower Semicontinuous Functions ◽

Linear And Nonlinear ◽

Nonlinear Error Bounds ◽

Semicontinuous Functions

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On the Differences of Lower Semicontinuous Functions

Real Analysis Exchange ◽

10.14321/realanalexch.41.1.0123 ◽

2016 ◽

Vol 41 (1) ◽

pp. 123

Author(s):

Robert Menkyna

Keyword(s):

Lower Semicontinuous ◽

Lower Semicontinuous Functions ◽

Semicontinuous Functions

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Enlarged Inclusion of Subdifferentials

Canadian Mathematical Bulletin ◽

10.4153/cmb-2005-027-0 ◽

2005 ◽

Vol 48 (2) ◽

pp. 283-301 ◽

Cited By ~ 15

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.

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