𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On some results of analysis for fuzzy metric spaces

✍ Scribed by A. George; P. Veeramani


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
254 KB
Volume
90
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.

✦ Synopsis


A necessary and sufficient condition for a fuzzy metric space to be complete is given. We prove that a subspace of a separable fuzzy metric space is separable and every separable fuzzy metric space is second countable. Uniform limit theorem is generalized to fuzzy metric spaces.


πŸ“œ SIMILAR VOLUMES


Some properties of fuzzy metric spaces
✍ Valentı́n Gregori; Salvador Romaguera πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 87 KB

We prove that the topology induced by any (complete) fuzzy metric space (in the sense of George and Veeramani) is (completely) metrizable. We also show that every separable fuzzy metric space admits a precompact fuzzy metric and that a fuzzy metric space is compact if and only if it is precompact an

Some results on fixed points of multifun
✍ Stojan RadenoviΔ‡; Zoran Kadelburg πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 243 KB

Contraction multifunctions, fixed point inclusions and iterated multifunction system, J. Math. Anal. Appl. 330 (2007) 159-173] proved some fixed point results for multifunctions in metric spaces. Rezapour and Haghi [Sh. Rezapour, R.H. Haghi, Fixed point of multifunctions on cone metric spaces, Numer

Some more results on induced fuzzy topol
✍ Anjan Mukherjee πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 297 KB

The concept of induced fuzzy topological space, introduced by Weiss [J. Math. Anal. Appl. 50 (1975) 142 150], was defined with the notions of a lower semi-continuous function. The purpose of this paper is to present some new results on induced fuzzy topological spaces with the notion of ~-open sets