International Journal of Nonlinear Analysis and Applications
On proximally closed mapping
Document Type : Research Paper
Authors
1 Department of Mathematics, College of Education for Pure Science, University of Wasit, Wasit, Iraq
2 Department of Mathematics, Directorate-General of Education of Wasit, Wasit, Iraq
Abstract
In this paper, we introduce the concept of proximally closed (or $\delta-$ closed) in the proximity spaces and study some of its properties.
Keywords
[1] V.A. Efremovich, The geometriya of proximity space, Math. Sb. 31 (1952) 189–200.
[2] S.A. Naimpally and B.D. Warrack, Proximity Spaces, Cambridge Tract, 1970.
[3] F. Riesz, Stetigkeitsbegriff und abstrakte Mengen, Int. Congress Math. IV (Rome), 2, R. Accad. Lincei, Rome, 1909 pp. 18–24.
[4] M. Smirnov Ju, On proximity spaces, Amer. Math. Soc. Transi. Ser 2, 38 (1964).
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Volume 13, Issue 1
March 2022Pages 1161-1166
- Receive Date: 22 March 2021
- Revise Date: 21 April 2021
- Accept Date: 03 May 2021