6 citations · 31 across the 17 of their papers we have counts for
19 papers
Faces of quasidensity
Stephen Simons
This paper is about the maximally monotone and quasidense subsets of the product of a real Banach space and its dual. We discuss six subclasses of the maximal monotone sets that ar…
Touching multifunctions on a Hilbert space
Stephen Simons
We introduce the concept of the touching of two multifunctions on a real Hilbert space, and deduce that certain multifunctions on the space have a unique fixed point. These result…
th roots of the identity operator and the geometry conjecture
Stephen Simons
In this paper, we give three different new proofs of the validity of the geometry conjecture about cycles of projections onto nonempty closed, convex subsets of a Hilbert space. Th…
A stand-alone analysis of quasidensity
Stephen Simons
In this paper we consider the "quasidensity" of a subset of the product of a Banach space and its dual, and give a connection between quasidense sets and sets of "type (NI)". We di…
Gossez's skew linear map and its pathological maximally monotone multifunctions
Stephen Simons
In this note, we give a generalization of Gossez's example of a maximally monotone multifunction such that the closure of its range is not convex, using more elementary techniques…
Quasidensity: a survey and some examples
Stephen Simons
In three previous papers, we discussed quasidense multifunctions from a Banach space into its dual, or, equivalently, quasidense subsets of the product of a Banach space and its du…