Multivalued function spaces and Atsuji spaces

Somashekhar Naimpally


In this paper we present two themes. The first one describes a transparent treatment of some of the recent results in graph topologies on multi-valued functions. The study includes Vietoris topology, Fell topology, Fell uniform topology on compacta and uniform topology on compacta. The second theme concerns when continuity is equivalent to proximal continuity or uniform continuity.


Graph topology; Multi-valued functions; Vietoris topology; Fell topology; Uniform topology; Fell uniform topology; Atsuji spaces; Uniform continuity; Proximal continuity

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Set-Valued Analysis  vol: 16  issue: 4  first page: 357  year: 2008  
doi: 10.1007/s11228-008-0088-6

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