The sum of a maximal monotone operator of type (FPV) and a maximal monotone operator with full domain is maximal monotone
نویسندگان
چکیده
منابع مشابه
The sum of a maximal monotone operator of type (FPV) and a maximal monotone operator with full domain is maximal monotone
The most important open problem in Monotone Operator Theory concerns the maximal monotonicity of the sum of two maximal monotone operators provided that Rockafellar’s constraint qualification holds. In this paper, we prove the maximal monotonicity of A+B provided that A and B are maximal monotone operators such that domA ∩ int domB ̸= ∅, A+NdomB is of type (FPV), and domA∩domB ⊆ domB. The proof ...
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Theory, Methods & Applications
سال: 2011
ISSN: 0362-546X
DOI: 10.1016/j.na.2011.05.093