Ranges of generalized pseudo-monotone perturbations of maximal monotone operators in reflexive Banach spaces

1997 ◽  
pp. 107-123 ◽  
Author(s):  
Zhengyuan Guan ◽  
Athanassios G. Kartsatos
Keyword(s):  
Banach Spaces ◽  
Maximal Monotone ◽  
Maximal Monotone Operators ◽  
Monotone Operators ◽  
Reflexive Banach Spaces

scholarly journals The sum theorem for maximal monotone operators in reflexive Banach spaces revisited

2021 ◽  
Vol 66 (1) ◽  
pp. 123-126
Author(s):  
Mircea D. Voisei
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Reflexive Banach Space ◽  
Maximal Monotone ◽  
Maximal Monotone Operators ◽  
Monotone Operators ◽  
Minkowski Sum ◽  
Reflexive Banach Spaces ◽  
Maximal Monotonicity ◽  
Sum Theorem

The goal of this note is to present a new shorter proof for the maximal monotonicity of the Minkowski sum of two maximal monotone multi-valued operators defined in a reflexive Banach space under the classical interiority condition involving their domains.

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