Baire spaces and some generalizations of complete metric spaces

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

Some Generalizations of Fixed Point Theorems in Cone Metric Spaces

We generalize, extend, and improve some recent fixed point results in conemetric spaces including the results of H. Guang and Z. Xian 2007 ; P. Vetro 2007 ; M. Abbas and G. Jungck 2008 ; Sh. Rezapour and R. Hamlbarani 2008 . In all our results, the normality assumption, which is a characteristic of most of the previous results, is dispensed. Consequently, the results generalize several fixed re...

Baire spaces, k-spaces, and some properly hereditary properties

A topological property is properly hereditary property if whenever every proper subspace has the property, the whole space has the property. In this note, we will study some topological properties that are preserved by proper subspaces; in fact, we will study the following topological properties: Baire spaces, second category, sequentially compact, hemicompact, δ-normal, and spaces having dispe...

Baire Spaces, Sober Spaces

In the article concepts and facts necessary to continue forma-lization of theory of continuous lattices according to [10] are introduced. The notation and terminology used here are introduced in the following papers:

Complete Metric Spaces