Complete Closedness of Maximal Monotone Operators
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(This paper is dedicated to the memory of Professor Kwan Chao-Chin, former academic member and director of the Institute of System Science of the Academy of Chinese Sciences.) A maximal monotone operator in R n is completely closed, i.e., not only closed for points, but also closed for directions. Such a completely closed operator is locally bounded at a point if and only if it is bounded at that point.
[1] Hedy Attouch,et al. Familles d'opérateurs maximaux monotones et mesurabilité , 1979 .
[2] Hedy Attouch. On the maximality of the sum of two maximal monotone operators , 1981 .
[3] H. Brezis. Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert , 1973 .
[4] F. Browder. Nonlinear maximal monotone operators in Banach space , 1968 .