The sum of a maximal monotone operator of type (FPV) and a maximal monotone operator with full domain is maximal monotone
نویسنده
چکیده
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 utilizes the Fitzpatrick function in an essential way. 2010 Mathematics Subject Classification: Primary 47H05; Secondary 49N15, 52A41, 90C25
منابع مشابه
The sum of two maximal monotone operator is of type FPV
In this paper, we studied maximal monotonicity of type FPV for sum of two maximal monotone operators of type FPV and the obtained results improve and complete the corresponding results of this filed.
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