Authors : Alaa M.F. Al. Jumaili, Alaa A. Auad and Majid Mohammed Abed
Abstract: In the present study, we introduce and investigate a new strong form of faint continuity called strongly faint δ-β-continuous mappings by using the concept of δ-β-open sets. Relationships among strongly faint δ-β-continuous mappings and δ-β-connected Spaces, δ-β-normal spaces and δ-β-ompact spaces are investigated. Several characterizations and interesting properties concerning strongly faint δ-β-continuous mappings are obtained. Also, the relationships between strongly faint δ-β-ontinuous mappings and graphs are investigated. Furthermore, the relationships between strongly faint δ-β-continuous mappings and other of well-known types of strongly faint continuous mappings are also given.
Alaa M.F. Al. Jumaili, Alaa A. Auad and Majid Mohammed Abed, 2019. A New Type of Strongly Faint Continuous Mappings and Their Applications in Topological Spaces. Journal of Engineering and Applied Sciences, 14: 905-912.