Fredholm Linear Relation and Some Results of Demicompact for Multivalued Matrix Linear Operator

Abstract

The main purpose of this article is to give a relationship
between Fredholm multivalued linear operators and the demicompact
linear relation; we provide some sufficient conditions on the inputs of a
closable block multivalued linear operator matrix to ensure the generalized
demicompactness of its closure. Our results generalize many known ones
in the literature.