All Maximal Monotone Operators in a Banach Space are of Type FPV

作者：Eberhard A^*; Wenczel R

来源：Set-Valued and Variational Analysis, 2014, 22(3): 597-615.

DOI：10.1007/s11228-014-0275-6

• Maximal monotone operators
• Representative functions
• Sum theorems
• FPV property

Within a nonzero, real Banach space we show that a monotone operator with a bounded domain that is representable by a representative function with a bigger conjugate must be maximal. This study allows us to resolve some long outstanding questions in the area. It follows that all maximal monotone operators are of type FPV and their domains have a convex closure.

• 出版日期2014-9