# Non archimedean fuzzy metric spaces wiki

Non-Archimedean geometries may, as the example indicates, have properties significantly different from Euclidean geometry. A sequence in is called an M -Cauchy sequence, if for each and there exists such that for all. In this paper we introduce the concept of fuzzy order -contractive mappings and give two fixed point theorems on ordered non-Archimedean fuzzy metric spaces for fuzzy order -contractive type mappings. Pacific Journal of Mathematics— Let be defined by andthen and. The generalization suggested by Kirk of Caristi's fixed point theorem [ 19 ] is well known. Let Open image in new window for all Open image in new window. Radu V: Some remarks on the probabilistic contractions on fuzzy Menger spaces. Let Open image in new window and Open image in new window.

• Ordered NonArchimedean Fuzzy Metric Spaces and Some Fixed Point Results SpringerLink

• After the definition of the concept of fuzzy metric space by some authors [1–3], then the triple is called a non-Archimedean fuzzy metric space.

After the definition of the concept of fuzzy metric space by some authors [1, non -Archimedean fuzzy metric space is itself a fuzzy metric space. After the definition of the concept of fuzzy metric space by some. Let X, M, ∗ be a non-Archimedean fuzzy metric space with a∗b ≥ max{a.
Letting Open image in new windowwe obtain that Open image in new window.

MathSciNet Google Scholar In what follows Open image in new window is nondecreasing, subadditive mapping i. Hence all conditions of Theorem 2. Cite article How to cite?

MOST VALUABLE PAINTING BARNES FOUNDATION
Then, for given Open image in new window.

This implies Open image in new window.

## Ordered NonArchimedean Fuzzy Metric Spaces and Some Fixed Point Results SpringerLink

Rights and permissions Reprints and Permissions. Now forlet and. Let Open image in new window be an ordered space.

Video: Non archimedean fuzzy metric spaces wiki Introduction to Metric Spaces

Two mappings are said to be weakly comparable if and for all. Let be an M -complete non-Archimedean fuzzy metric space with let be a bounded-from-above function and be a continuous mapping, such that.

implies (F4) then each non-Archimedean fuzzy metric space is a fuzzy metric space.

Definition 3.

Let (X,M,⋆) be a fuzzy metric space (or a. modifying a definition of fuzzy metric space given by Kramosil and Michalek, Examples of fuzzy metric spaces (Sapena, ) On non-Archimedean fuzz. In mathematics, an ultrametric space is a metric space in which the triangle inequality is strengthened to d (x, z) ≤ max { d (x, y), d (y, z) } {\displaystyle d(x,z)\leq \max \left\{d(x,y),d(y,z)\right\}} d(x,z)\leq\max\left\{d.

Sometimes the associated metric is also called a non-Archimedean metric or.