On Еc-Continuous and δ-ßc-Continuous Mappings in Topological Spaces Via Еc-open and δ-ßc-open sets

Sarah. H.  Abdulwahid; Alaa.  M.  F.   AL. Jumaili

doi:10.24996/ijs.2022.63.7.33

Authors

Sarah. H. Abdulwahid Department of mathematics, College of Education for pure science, University of Anbar- Iraq https://orcid.org/0000-0002-9995-5397
Alaa. M. F. AL. Jumaili Department of mathematics, College of Education for pure science, University of Anbar- Iraq https://orcid.org/0000-0002-9363-2562

DOI:

https://doi.org/10.24996/ijs.2022.63.7.33

Keywords:

δ-ßc- continuous maps, δ-ßc-open sets, Еc-continuous mappings, Еc- open sets

Abstract

In the present paper, new concepts of generalized continuous mappings, namely Е_c and δ-ß_c-continuous mappings have been introduced and studied by using a new generalized of open sets Е_c and δ-ß_c-open sets ,respectively. Several characterizations and fundamental properties of these forms of generalized continuous mappings are obtained. Moreover, the graphs of Е_c-continuous and δ-ß_c-continuous mappings have been investigated. In addition, the relationships among Е_c-continuous and δ-ß_c-continuous mappings and other well-known forms of generalized continuous mappings in topological spaces are also discussed.