A Brezis-Browder theorem for SSDB spaces

Abstract

In this paper, we show how the Brezis-Browder theorem for maximally monotone multifunctions with a linear graph on a reflexive Banach space, and a consequence of it due to Yao, can be generalized to SSDB spaces.

This version differs from the previous one in that it is shown how the result depends on a new "transversality theorem"

References in corpus (1)

• The Brezis-Browder Theorem revisited and properties of Fitzpatrick functions of order n

Cited by in corpus (1)

• For maximally monotone linear relations, dense type, negative-infimum type, and Fitzpatrick-Phelps type all coincide with monotonicity of the adjoint