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Proximal and uniform convergence on apartness spaces |
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| Authors: | Lumini&#x;a Simona Vî&#x;&#x; |
| Institution: | Luminiţa Simona Vîţă |
| Abstract: | The main purpose of this paper is to investigate constructively the relationship between proximal convergence, uniform sequential convergence and uniform convergence for sequences of mappings between apartness spaces. It is also shown that if the second space satisfies the Efremovic axiom, then proximal convergence preserves strong continuity. |
| Keywords: | Apartness space limited principle of omniscience proximal convergence Efremovic axiom |