@article{MAKHILLJEAS201914317405, title = {A New Type of Strongly Faint Continuous Mappings and Their Applications in Topological Spaces}, journal = {Journal of Engineering and Applied Sciences}, volume = {14}, number = {3}, pages = {905-912}, year = {2019}, issn = {1816-949x}, doi = {jeasci.2019.905.912}, url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2019.905.912}, author = {Alaa M.F. Al.,Alaa A. and}, keywords = {δ-β-open sets,δ-β-regular space,strongly δ-β-continuous,strongly faint δ-β-continuous,mappings,investigated}, 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.} }