Useful properties of index pairs for upper semicontinuous multivalued dynamical systems.
Recently Popa and Noiri [10] established some new characterizations and basic properties of -continuous multifunctions. In this paper, we improve some of their results and examine further properties of -continuous and -irresolute multifunctions. We also make corrections to some theorems of Neubrunn [7].
Every lower semi-continuous closed-and-convex valued mapping , where is a -product of metrizable spaces and is a Hilbert space, has a single-valued continuous selection. This improves an earlier result of the author.