(2) f (resp., [phi]) is cofinitely sensitive in X if there is a constant [delta] > 0 such that [N.sub.f](V, [delta]) [contains] [n, +[infinity]) [intersection] N for some n [greater than or equal to] 1 (resp., [N.sub.[phi]] (V, [delta]) [contains] [t, +[infinity]) for some t > 0) for any nonempty

open subset V [subset] X;

If D is a non-empty simply connected

open subset of the complex plane C which is not all of C, then there exists a biholomorphic (bijective and holomorphic) mapping f from D onto the open unit disk U = {z [member of] C :[absolute value of z] <1} (Krantz, 1999, Section 6.4.3, p.

It is now clear that g(D) can be considered as an

open subset in H, here g and D are in the statement of our main theorem in Section 1.

Let X be a completely regular (respectively normal) topological space, V an

open subset of X and let F [member of] [MA.sub.[partial derivative]V]([bar.V], X) be [PSI]-essential in [MA.sub.[partial derivative]V]([bar.V], X).

Let [OMEGA] be an

open subset of [R.sup.N]; let L : [R.sup.N] [right arrow] [R.sup.+] be convex, and let the growth condition (GC) be satisfied.

Definition 1 A subset A of a space (X, T) is called [zeta]-open if for every x [member of] A , there exists an

open subset U [subset not equal to] X containing x and such that U \ sInt(A) is countable.

Let E be a Hausdorff topological space and U an

open subset of E.

Let M be ([M.sub.sc]) with [LAMBDA] = [R.sub.>0], let U [subset or equal to] E be a [c.sup.[infinity]]-

open subset in a convenient vector space E and F be a Banach space.

[1, 5]) An admissible map [phi]: X [??] X is called a compact absorbing contraction (CAC-map for short) provided there exists an

open subset U [subset] X such that:

An intuitionistic fuzzy set A of an IFTS(X, [tau]) is said to be intuitionistic fuzzy weakly generalized compact relative to X if every collection {[A.sub.i] : i [member of] I} of intuitionistic fuzzy weakly generalized

open subset of X such that A [subset or equal to] [union] {[A.sub.i] : i [member of] I}, there exists a finite subset [I.sub.0] of I such that A [subset or equal to] [union] {[A.sub.i] : i [member of] [I.sub.0]} .

There exists an

open subset [Y.sub.0] of Y := Spec [S.sup.G] such that [Mathematical Expression Omitted] is the preimage of [Y.sub.0] via the map V [approximate] Spec S [approaches] Spec [S.sup.G] = Y and the fibres of [Mathematical Expression Omitted] are precisely the G-orbits of G in [Mathematical Expression Omitted].

Let E be a completely regular (respectively normal) topological space, U an

open subset of E, F [member of] [A.sub.[partial derivative]U] ([bar.U], E) and let G [member of] [A.sub.[partial derivative]U]([bar.U], E) be [phi]- essential in [A.sub.[partial derivative]U] ([bar.U], E).