# Category of fuzzy metric spaces and an application

## Related Articles

- Common Fixed Points for Weakly Compatible Maps in Intuitionistic Fuzzy Metric Spaces. Kumar, Sanjay; Vats, Ramesh Kumar // Advances in Fuzzy Mathematics;2009, Vol. 4 Issue 1, p9
In this paper, we prove a common fixed point theorem for weakly compatible maps in intuitionistic fuzzy metric spaces which generalizes the result of Alaca, Turkoglu and Yildiz[3]. Moreover, we introduce the notions of Rweakly commuting mapping of type (Ag), R-weakly commuting mapping of type...

- On a new category of fuzzy sets. Agnes, A. R. Porselvi; Sivaraj, D.; Chelvam, T. Tamizh // Journal of Advanced Research in Pure Mathematics;2010, Vol. 2 Issue 4, p73
We introduce the concept of a morphism between fuzzy sets, which enables us to define the category of fuzzy sets. Next, we give elementwise characterization of some special morphisms in this category which will be useful for later studies. We prove that unlike the category of sets, this category...

- YONEDA THEORY FOR DOUBLE CATEGORIES. PARÉ, ROBERT // Theory & Applications of Categories;2011, Vol. 25 Issue 2, p436
Representables for double categories are defined to be lax morphisms into a certain double category of sets. We show that horizontal transformations from representables into lax morphisms correspond to elements of that lax morphism. Vertical arrows give rise to modules between representables. We...

- ON THE CATEGORY OF GEOMETRIC SPACES AND THE CATEGORY OF (GEOMETRIC) HYPERGROUPS. MOUSAVI, S. S.; JAFARPOUR, M. // Bulletin of the Iranian Mathematical Society;6/ 1/2014, Vol. 40 Issue 3, p639
In this paper first we define the morphism between geometric spaces in two different types. We construct two categories of U- GESP and L- GESP from geometric spaces then investigate some properties of the two categories, for instance U- GESP is topological. The relation between hypergroups and...

- EXISTENCE OF POSITIVE PERIODIC SOLUTION OF AN IMPULSIVE DELAY FISHING MODEL. DENGGUO XU; YING HUANG; LIN LIANG // Bulletin of Mathematical Analysis & Applications;Sep2011, Vol. 3 Issue 2, p89
In this paper, the impulsive delay fishing model is considered. By using the continuation theory for k-set contractions, the sufficient conditions of the existence of positive Ï‰-periodic solutions of the impulsive delay fishing model are obtained.

- BOUNDEDNESS OF PRETANGENT SPACES TO GENERAL METRIC SPACES. Bilet, Viktoriia; Dovgoshey, Oleksiy // Annales Academiae Scientiarum Fennicae. Mathematica;2014, Vol. 39 Issue 1, p73
Let (X, d, p) be a metric space with a metric d and a marked point p. We define the set of w-strongly porous at 0 subsets of [0,âˆž) and prove that the distance set {d(x, p) : x âˆˆ X} is w-strongly porous at 0 if and only if every pretangent space to X at p is bounded.

- Rupture Survey Of A Metric Space With Infinite Cardinal, If Only Finite Subsets Are Compact. Shokuhy, R. Jalal; Kazemipour, S. A.; Madady, S. // Australian Journal of Basic & Applied Sciences;2011, Vol. 5 Issue 9, p1858
In this paper, this is a fresh new approach to the topological behavior occurs in discrete spaces. Thus, the topological properties such as compression, and connectiveâ€¦. On specific subsets of finite, infinite, bounded, unlimited and â€¦.Be a subset of a discrete space with finite or...

- The Steiner Subratio of Five Points on a Plane and Four Points in Three-Dimensional Space. Ovsyannikov, Z. // Journal of Mathematical Sciences;Dec2014, Vol. 203 Issue 6, p864
The Steiner subratio is a fundamental characteristic of a metric space, introduced by A. Ivanov and A. Tuzhilin. This work tries to estimate this subratio for five-point sets on a plane and four-point sets in three-dimensional space.

- An Open Family of Sets That Have Several Minimal Fillings. Ovsyannikov, Z. // Journal of Mathematical Sciences;Dec2014, Vol. 203 Issue 6, p855
Minimal fillings of n-point metric spaces were introduced by Ivanov and Tuzhilin. It was thought that 'for almost all sets' in some sense such a filling is unique. Here we introduce a counterexample to this hypothesis.