D-boundedness and D-compactness in finite dimensional probabilistic normed spaces

Some Results in Generalized Serstnev Spaces

SOME RESULTS ON INTUITIONISTIC FUZZY SPACES

In this paper we define intuitionistic fuzzy metric and normedspaces. We first consider finite dimensional intuitionistic fuzzy normed spacesand prove several theorems about completeness, compactness and weak convergencein these spaces. In section 3 we define the intuitionistic fuzzy quotientnorm and study completeness and review some fundamental theorems. Finally,we consider some properties of...

F eb 2 00 5 SOME RESULTS IN GENERALIZED ŠERSTNEV SPACES

In this paper, we show that D-compactness in GeneralizedŠerstnev spaces implies D-boundedness and as in the classical case, a D-bounded and closed subset of a characteristic GeneralizedŠerstnev is not D-compact in general. Finally, in the finite dimensional GeneralizedŠerstnev spaces a subset is D-compact if and only if is D-bounded and closed.

ar X iv : m at h / 05 02 05 3 v 3 [ m at h . G N ] 2 5 Fe b 20 05 SOME RESULTS IN GENERALIZED ŠERSTNEV SPACES

In this paper, we show that D-compactness in GeneralizedŠerstnev spaces implies D-boundedness and as in the classical case, a D-bounded and closed subset of a characteristic GeneralizedŠerstnev is not D-compact in general. Finally, in the finite dimensional GeneralizedŠerstnev spaces a subset is D-compact if and only if it is D-bounded and closed.

ar X iv : m at h / 05 02 05 3 v 2 [ m at h . G N ] 2 3 Fe b 20 05 SOME RESULTS IN GENERALIZED ŠERSTNEV SPACES

In this paper, we show that D-compactness in GeneralizedŠerstnev spaces implies D-boundedness and as in the classical case, a D-bounded and closed subset of a characteristic GeneralizedŠerstnev is not D-compact in general. Finally, in the finite dimensional GeneralizedŠerstnev spaces a subset is D-compact if and only if is D-bounded and closed.