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Different types of continuous functions and their applications |
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PP: 997-1003 |
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doi:10.18576/amis/180507
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Author(s) |
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A. A. Azzam,
Radwan Abu-Gdairi,
Barakah Almarri,
M. Aldawood,
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Abstract |
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| Examining a contemporary form of function reveals certain traits that facilitate the resolution of particular issues. As a result, in order to help with a variety of applications and solve a number of challenging problems, we generalize to β-continuity and almost weak-continuity and develop a novel class of functions entitled β-weak, β-strong, and almost β-weak continuity. This unique kind of function is provided certain characterizations and basic attributes. We analyze how comparable functions and β -weakly continuous functions vary and are similar. We also show how various forms of weak continuity relate to one another. Finally, the authors demonstrate that if a function has a regular range and a highly unconnected domain, then β -continuity is identical.
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