Multifunctions of Souslin type: Corrigendum

Maximal Monotone Multifunctions of Brrndsted{rockafellar Type

Maximal Monotone Multifunctions of BrndstedRockafellar Type

We consider whether the “inequality-splitting” property established in the Brøndsted– Rockafellar theorem for the subdifferential of a proper convex lower semicontinuous function on a Banach space has an analog for arbitrary maximal monotone multifunctions. We introduce the maximal monotone multifunctions of type (ED), for which an “inequality-splitting” property does hold. These multifunctions...

Examples for Souslin Forcing

On full Souslin trees

In the present note we answer a question of Kunen (15.13 in [Mi91]) showing (in 1.7) that it is consistent that there are full Souslin trees. ∗ We thank the NSF for partially supporting this research under grant #144-EF67. Publication No 624.

On fixed points of quasi-contraction type multifunctions

In 2009, Ilić and Rakoc̆ević proved that quasi-contraction maps on normal cone metric spaces have a unique fixed point (Ilić and Rakoc̆ević, 2009 [6]). Then, Kadelburg, Radenović and Rakoc̆ević generalized their results by considering an additional assumption (Kadelburg et al., 2009 [7]). Also, they proved that quasi-contraction maps on cone metric spaces have the property (P) whenever λ ∈ (0, 2 )...