In this paper, we develop some of the theory of SSD spaces and SSDB spaces, and deduce some results on maximally monotone multifunctions on a reflexive Banach space.

n this paper, we consider continuity properties(especially, regularity, also viewed as an approximation property) for $%mathcal{p}_{0}(x)$-valued set multifunctions ($x$ being a linear,topological space), in order to obtain egoroff and lusin type theorems forset multifunctions in the vietoris hypertopology. some mathematicalapplications are established and several physical implications of thema...

We define order-Lipschitzian properties of multifunctions and we investigate local upper order-lipschitzness and ordercalmness of efficient points of a set depending upon a parameter.

In this paper we introduce the notion of upper and lower faintly αψ-continuous multifunctions. The basic properties and characterizaions of such functions are established.

In this paper, the concept of continuous multifunctions for digraphs is introduced. It turns out that a digraph multifunction is continuous if and only if it is strong. We introduce the notion of dismantlable digraphs and show that it does generalize the dismantlable graphs and posets. Generalizing various previous results, we show that any dismantlable digraph has the almost fixed point proper...

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 )...

We prove a fixed-point result for compact upper semicontinuous compact-convex-valued multifunctions satisfying antipodal boundary conditions on bounded symmetric subsets of a normed space. Two types or antipodal conditions are considered.