|
|||||
|
|
|
|
|
|
|
|
|
Convergence in spaces
of subsets
R. J. Gazik |
|
Vol. 43 (1972), No. 1, 81–92
|
Abstract |
|
Under certain conditions on a class 𝒞 of subsets of either a uniform convergence space, uniform space, or bounded metric space, a natural convergence structure for 𝒞 is defined which is, respectively, u-uniformizable, uniformizable, metrizable. Conditions which are sufficient for the convergence structure to be separated, topological, regular, are given. In the uniform space case some convergence properties of 𝒞 are investigated and a fixed point theorem is proved for certain 𝒞-multifunctions. |
Mathematical Subject Classification 2000
Primary: 54A20
|
Milestones
Received: 10 September 1970
Revised: 30 May 1972
Published: 1 October 1972
|
Authors |
| R. J. Gazik | |
|
