Soft C-continuity and soft almost C-continuity between soft topological spaces

Soft super-continuity and soft delta-closed graphs

“…(Z, γ) is not SC. Therefore, by Corollary 3.4 of [44], Theorem 5.31 of [47], and Corollary 2.5, f q 1 v 1 : ðX; tðxÞ; EÞ ! ðY; tð�Þ; EÞ is soft almost continuous, and f ðq 2 �q 1 Þðv 2 �v 1 Þ : (X, τ(ξ), E) !…”

“…Therefore, by Corollary 3.4 of [ 44 ], Theorem 5.31 of [ 47 ], and Corollary 2.5 , is soft almost continuous, and : ( X , τ ( ξ ), E ) → ( Z , τ ( γ ), E ) is soft continuous, but is not soft SC .…”

“…Afterward, many forms of soft continuity appeared in the literature. For instance, “soft semi-continuous” [ 40 ], “soft pre-continuous” [ 27 ], “soft β -continuous” [ 41 ], “soft θ -continuous” [ 26 ], “soft α -continuous” [ 27 ], “soft δ -continuous” [ 30 ], “soft ω -continuous” [ 42 ], “soft ω s -continuous” [ 42 ], “weakly soft β -continuous” [ 35 ], “weakly soft pre-continuous” [ 36 ], “weakly soft α -continuous” [ 38 ], “soft complete continuous” [ 43 ], “soft strongly continuous” [ 43 ], “soft C -continuous” [ 44 ], “soft almost C -continuous” [ 44 ], “soft ω - θ -continuous” [ 45 ], “soft weakly θ ω -continuous” [ 45 ], and so on. The authors in [ 46 ] proved that soft continuity is useful in developing computational topological applications and digital images.…”

Some Classes of Soft Functions Defined by Soft Open Sets Modulo Soft Sets of the First Category

“…Afterwards, multiple generalized forms of soft continuous functions started to appear in the literature. Namely: soft U -continuous functions [26], soft C-continuous functions [27], soft ω-continuous functions [28], soft somewhat continuous functions [20], soft α-continuous functions [22], soft semicontinuous functions [29], etc.…”