Let (X, [tau]) be a neutrosophic topological space and f : (X, [tau]) [right arrow] (X, [tau]) be a neutrosophic
continuous function. Then f is said to be neutrosophic sensitive at x [member of] X if given any neutrosophic open set U = <x, [U.sup.1], [U.sup.2], [U.sup.3]> containing x [there exists] a neutrosophic open set V = [V.sup.1], [V.sup.2], [V.sup.3]> [contains as member] [f.sup.n](x) [member of] V, [f.sup.n](y) [not member of] Ncl(V) and y [member of] U, n [member of] [Z.sup.+].
Assume that there is a positive
continuous function [p.sub.1] : [[t.sub.0], [infinity]) [right arrow] [R.sup.+] such that P(t) and [P.sup.*](t) are positive for t [greater than or equal to] [t.sub.0].
Let f be a
continuous function of soft sets on [mathematical expression not reproducible].
([H.sub.1]) f : [0, T/[p.sup.2]] x R [right arrow] R is a
continuous function and there exists a constant N > 0 such that
Let f : E [right arrow] E be a
continuous function, and let ([x.sub.n]) and ([w.sub.n]) be two iterations which converge to the same point p [member of] E.
For the sake of convenience, suppose that f(t) is an w-periodic
continuous function on R; we denote
where [ohm] [subset] [R.sup.N], N [greater than or equal to] 2, is a bounded domain with smooth boundary, [lambda] > 0 is a parameter, 0 < q < 1 and f : R [right arrow] R is a
continuous function satisfying
where t [greater than or equal to] 0, x [member of] R, A(t) : R [right arrow] [0, [infinity]) and f, g : R [right arrow] R are
continuous functions with f (0) = g(0) = 0, and B(t, s) is a
continuous function for all 0 [less than or equal to] s [less than or equal to] t [less than or equal to] [infinity].
The following identity for an absolutely
continuous function f: [a, b] [right arrow] R holds (see [14]):
is considered for r : [a, [infinity]) [right arrow] R, (a > 0), is a
continuous function for which mean value M([r.sup.1-q]) exists and for which