Alaa M.F. Al.  Jumaili, Alaa A.  Auad, Majid Mohammed  Abed, 
    A New Type of Strongly Faint Continuous Mappings and Their Applications in
Topological Spaces,
    Journal of Engineering and Applied Sciences,
    Volume 14,Issue 3,
    2019,
    Pages 905-912,
    ISSN 1816-949x,
    jeasci.2019.905.912,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2019.905.912)
    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.
    Keywords: δ-β-open sets;δ-β-regular space;strongly δ-β-continuous;strongly faint δ-β-continuous;mappings;investigated