Results 11 to 20 of about 256 (61)
Common fixed point theorems and applications [PDF]
The purpose of this paper is to discuss the existence of common fixed points for mappings in general quasi-metric spaces. As applications, some common fixed point theorems for mappings in probabilistic quasi-metric spaces are given. The results presented
Hemant Kumar Pathak +3 more
core +3 more sources
On Cauchy problems for fuzzy differential equations
Existence and uniqueness theorems are proved for Cauchy problems of second‐order fuzzy differential equations.
D. N. Georgiou, I. E. Kougias
wiley +1 more source
Some fuzzy SP‐topological properties
We introduce r‐fuzzy strongly preopen and r‐fuzzy strongly preclosed sets in fuzzy topological space in view of the definition of šostak (1985). We investigate some properties of them. Moreover, the concepts of fuzzy SP‐continuous, fuzzy SP‐irresolute continuous, fuzzy SP‐irresolute open (closed) mappings, and a fuzzy SP‐irresolute homeomorphism are ...
S. E. Abbas
wiley +1 more source
N‐topo nilpotency in fuzzy neighborhood rings
We introduce the notion of N‐topo nilpotent fuzzy set in a fuzzy neighborhood ring and develop some fundamental results. Here we show that a fuzzy neighborhood ring is locally inversely bounded if and only if for all 0 < α < 1, the α‐level topological rings are locally inversely bounded. This leads us to prove a characterization theorem which says that
T. M. G. Ahsanullah, Fawzi Al-Thukair
wiley +1 more source
Degree of (L, M)-Fuzzy Semi-Precontinuous and (L, M)-Fuzzy Semi-Preirresolute Functions
The aim of this paper is to present the degree of semi-preopenness, semi-precontinuity, and semi-preirresoluteness for functions in (L, M)-fuzzy pretopology with the help of implication operation and (L, M)-fuzzy semi-preopen operator introduced by ...
Al-Omeri Wadei F. +2 more
doaj +1 more source
We generalize min‐neighborhood groups to arbitrary T‐neighborhood groups, where T is a continuous triangular norm. In particular, we point out that our results accommodate the previous theory on min‐neighborhood groups due to T. M. G. Ahsanullah. We show that every T‐neighborhood group is T‐uniformizable, therefore, T‐completely regular.
T. M. G. Ahsanullah, Fawzi Al-Thukair
wiley +1 more source
Scott convergence and fuzzy Scott topology on L-posets
We firstly generalize the fuzzy way-below relation on an L-poset, and consider its continuity by means of this relation. After that, we introduce a kind of stratified L-generalized convergence structure on an L-poset.
Liu Hongping, Chen Ling
doaj +1 more source
Examples of non-strong fuzzy metrics [PDF]
Answering a recent question posed by Gregori et al. [On a class of completable fuzzy metric spaces, Fuzzy Sets and Systems 161 (2010), 2193-2205] we present two examples of non-strong fuzzy metrics (in the sense of George and Veeramani).
George +3 more
core +1 more source
Intuitionistic fuzzy proximity spaces
We introduce the concept of the intuitionistic fuzzy proximity as a generalization of fuzzy proximity, and investigate its properties. Also we investigate the relationship among intuitionistic fuzzy proximity and fuzzy proximity, and intuitionistic fuzzy topology.
Seok Jong Lee, Eun Pyo Lee
wiley +1 more source
On completable fuzzy metric spaces [PDF]
In this paper we construct a non-completable fuzzy metric space in the sense of George and Veeramani which allows to answer an open question related to continuity on the real parameter t. In addition, the constructed space is not strong (non-Archimedean).
Gregori Gregori, Valentín +2 more
core +1 more source

