A CLOSEDNESS CRITERION FOR THE DIFFERENCE OF TWO CLOSEDCONVEX SETS IN GENERAL BANACH SPACES

Citation:

Anne BEAULIEU,ZHOU Feng.A CLOSEDNESS CRITERION FOR THE DIFFERENCE OF TWO CLOSEDCONVEX SETS IN GENERAL BANACH SPACES[J].Chinese Annals of Mathematics B,1999,20(3):337~340
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Authors:

Anne BEAULIEU; ZHOU Feng

Foundation:

National Natural Science Foundation of China (No. 19641001)
Abstract: The authors give some sufficient conditions for the difference of two closed convex sets to be closed in general Banach spaces, not necessarily reflexive.

Keywords:

Asymptotic cone, Conjugate convex function, Closedness, Infimal convolution

Classification:

46B10
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