Weak and Strong Forms of Ï‰-Perfect Mappings

G. S.  Ashaea; Y. Y.  Yousif

doi:10.24996/ijs.2020.SI.1.7

Authors

G. S. Ashaea Department of Mathematics, College of Education for Pure Sciences ( Ibn -Al-haitham ) ,University of Baghdad, Baghdad, Iraq
Y. Y. Yousif Department of Mathematics, College of Education for Pure Sciences ( Ibn -Al-haitham ) ,University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2020.SI.1.7

Keywords:

weakly ï±-Ï‰-perfect mappings, stronglyï± -Ï‰-perfect mappings

Abstract

In this paper, we introduce weak and strong forms of Ï‰-perfect mappings, namely the ï±-Ï‰-perfect, weakly ï±-Ï‰-perfect and stronglyï±-Ï‰-perfect mappings. Also, we investigate the fundamental properties of these mappings. Finally, we focused on studying the relationship between weakly ï±-Ï‰-perfect and stronglyï± -Ï‰-perfect mappings.