Bronsted-Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces
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In this work we are concerned with maximality of monotone operators representable by certain convex functions in non-reflexive Banach spaces. We also prove that these maximal monotone operators satisfy a Bronsted-Rockafellar type property.
We show that if a function in XxX^* and its conjugate are above the duality product in their respective domains, then this function represents a maximal monotone operator.
extends to non-reflexive Banach space a previous result proved in reflexive Banach spaces
extends to non-reflexive Banach space a previous result proved in reflexive Banach spaces