The concept of neutrosophic triplet firstly introduced by F. Smarandache and M. Ali 28. This notion (neutrosophic triplet) is a group of three elements that satisfy certain properties with some ...binary operation. These neutrosophic triplets highly depends on the proposed binary operation. In this article, we make some observations concerning Neutrosophic triplet metric space (NTMS), Neutrosophic triplet partial metric space (NTPMS), Neutrosophic triplet-b-metric space (NT-b-MS) introduced by Sahin et al. 18-20 and put our observation on the definitions defined in these articles. Moreover, inspired by Ur Rahaman 17 and Sahin et al. 18-20 further we define a new topological construction named as Neutrosophic Triplet quasi–dislocated b-metric space (NT-qdb-MS) and study some properties of NT-qdb-MS. Furthermore using this construction, we establish some fixed point theorems in the context of NT-qdb-MS using graph. For the validity of our results, we also provide an example.
In this paper we introduce and study the concept of strong convergence in fuzzy metric spaces (𝑋,𝑀, *) in the sense of George and Veeramani. This concept is related with the condition
∧
t
>
0
M
(
x
...,
y
,
t
)
>
0
, which frequently is required or missing in this context. Among other results we characterize the class of 𝑠-fuzzy metrics by the strong convergence defined here and we solve partially the question of finding explicitly acompatiblemetric with a given fuzzy metric.
We establish a new fixed point theorem in the setting of Branciari metric spaces. The obtained result is an extension of the recent fixed point theorem established in Jleli and Samet (J. Inequal. ...Appl. 2014:38, 2014).
We define a state space and a Markov process associated to the stochastic quantisation equation of Yang–Mills–Higgs (YMH) theories. The state space
S
is a nonlinear metric space of distributions, ...elements of which can be used as initial conditions for the (deterministic and stochastic) YMH flow with good continuity properties. Using gauge covariance of the deterministic YMH flow, we extend gauge equivalence ∼ to
S
and thus define a quotient space of “gauge orbits”
O
. We use the theory of regularity structures to prove local in time solutions to the renormalised stochastic YMH flow. Moreover, by leveraging symmetry arguments in the small noise limit, we show that there is a unique choice of renormalisation counterterms such that these solutions are gauge covariant in law. This allows us to define a canonical Markov process on
O
(up to a potential finite time blow-up) associated to the stochastic YMH flow.
In this paper, we consider generalized
-Geraghty contractive type mappings and investigate the existence and uniqueness of a fixed point for mappings involving such contractions.
In particular, we ...extend, improve and generalize some earlier results in the literature on this topic.
An application concerning the existence of an integral equation is also considered to illustrate the novelty of the main result.
In this paper, we consider a JS metric space endowed with convexity structure, which will allow us to examine and study convergence of Mann iteration and Ishikawa iteration for Banach type and ...Chatterjea type contractions defined on JS metric space.
In this work, we prove some common fixed point theorems on S-metric spaces via C-class functions and give some consequences of the main result. We also give some examples in support of the results. ...The results obtained in this article generalize, extend and improve several results from the existing literature regarding S-metric spaces.
PDF
