Controlled metric space

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August undefined, 2024

WebAbstract In this paper, we introduce an extension of rectangular metric spaces called controlled rectangular metric spaces, by changing the rectangular inequality in the definition of a... WebMar 8, 2024 · Let be a bipolar-controlled metric space. Then the points of the sets , and are named as left, right and central points, respectively, and any sequence that consists of only left (or right, or central) points is called a left (or right, or central) sequence on . (A2) Let and be bipolar-controlled metric spaces and be a function.

Application of Fixed Points in Bipolar Controlled Metric Space to …

WebApr 10, 2024 · The partial metric space was further generalized to the so-called M -metric space. In this paper, we introduce the Double-Controlled Quasi M -metric space as a new generalization of the M -metric space. In our new generalization of the M -metric space, the symmetry condition is not necessarily satisfied and the triangle inequality is … WebMar 24, 2024 · A metric space is a set with a global distance function (the metric ) that, for every two points in , gives the distance between them as a nonnegative real number . A … mt. airy fiddlers convention

New Fixed Point Theorem on Triple Controlled Metric …

WebAbstract. In this paper, we introduce the notion of controlled rectangular metric spaces as a generalization of rectangular metric spaces and rectangular -metric spaces. … WebJul 17, 2024 · Using this new type of metric spaces, we generalize many results in the literature. We prove fixed point results along with examples illustrating our theorems. … WebIn this manuscript, we establish a new type of metric space that is called controlled strong metric spaces by introducing a controlled function to the triangle inequality as follows: ℘(s,r)≤℘(s,z)+η(z,r)℘(z,r), and keeping the symmetry condition that is ℘(s,r)=℘(r,s)forallr,s. We demonstrate the existence of the fixed point of self-mapping and its uniqueness in … how to make nigerian gari salad with eggs

(PDF) Fuzzy Triple Controlled Metric Spaces and Related

Solving an Integral Equation via Fuzzy Triple Controlled Bipolar Metric …

WebIn mathematics, a metric space is a set together with a notion of distance between its elements, usually called points. The distance is measured by a function called a metric or distance function. [1] Metric spaces are the … WebFeb 6, 2024 · A complex-valued double controlled metric-type space is also complex-valued double controlled metric-like space in general. The converse is not true in general. Further this is also more generalized form than complex-valued extended b- metric-type space (see Example 2). Let X = 1 2 3. how to make nigerian doughnutsWebAug 6, 2024 · As consequences of our leading results, we derive common fixed point and fixed point results for contractions with control functions of one variable and constants. We also discuss controlled metric spaces endowed with a graph and obtain some common fixed point results in this newly introduced space. how to make nigerian fruit cake

"WebThe concepts of Cauchy and convergent sequences in controlled metric type spaces are defined as follows. Definition 3. Let be a controlled metric type space and be a sequence in . (1)The sequence converges to some ,if ,such that … " - Controlled metric space

Controlled metric space

WebApr 10, 2024 · In this paper, we establish a new fixed point result for Hardy-Rogers type contractions in double controlled metric-like spaces. Our result generalizes many important theorems in the literature. We will provide an example to illustrate our results. References Reader Comments your name: * Email: *

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WebA metric space is made up of a nonempty set and a metric on the set. The term “metric space” is frequently denoted (X, p). The triangle inequality for the metric is defined by … WebOct 19, 2024 · In the current work, the multi-valued version of well-known theorems of Nadler, Banach, Branciari and Reich are generalized to the scope of double controlled metric space. A double controlled metric space is a metric type space in which the right hand side of the triangle inequality is controlled by two functions. …

WebJan 26, 2016 · The concept of fuzzy b-metric space is introduced and studied, generalizing both the notion of fuzzy metric space introduced by I. Kramosil and J. Michalek and the concept of b- Metric space, and a decomposition theorem for a fuzzy quasipseudo- b- metric into an ascending family of quasi-pseudo-b-metrics is established. Metric spaces … WebOur proposed fuzzy triple controlled metric like space generalizes many existing results. For example, it generalizes rectangular metric like, rectanglar metric like, extended and controlled metric like spaces in fuzzy environment, that can be regarded as the main advantage of our proposed methods.

WebFeb 2, 2024 · In this manuscript, we introduce the concept of controlled metric-like spaces, which involves a generalization of the controlled metric type spaces, that is, … WebIf, for all x,y in X, a(x,y) = s 1, then (X,d) is a b-metric space, which leads us to conclude that every b-metric space is a controlled metric type space. In addition, a controlled metric type space is not in general an extended b-metric space when taking the same function, that is, in the case q = a. The following examples explain this fact ...

WebJan 14, 2024 · In , Mlaiki et al. introduced the concept of controlled type metric spaces as a generalization of b-metric spaces, which is different from extended b-metrics space …

WebThe definition of triple controlled metric type space is described below, which is used extensively in our main results. Definition 6 ( [ 22 ]). Let X be a non-empty set and .A … mt airy drug store phone numberWebAbstract In this paper, we introduce an extension of rectangular metric spaces called controlled rectangular metric spaces, by changing the rectangular inequality in the … mt airy elementary school ohioWebextended rectangular b-metric space and proved related ﬁxed point theorem. Recently, Saleem et al. [33] introduced the notion of fuzzy double controlled metric space and proved BCMP on such space. Abdeljawad et al. [34] modi-ﬁed the deﬁnition of controlled metric type space deﬁned in [35] by giving the idea of a double controlled metric ... mt airy eye care llcWebApr 10, 2024 · The partial metric space was further generalized to... Find, read and cite all the research you need on ResearchGate ... Article PDF Available. Double-Controlled Quasi M-Metric Spaces. April ... how to make nigerian chicken pepper soupWebThe objective of the research article is two-fold. Firstly, we present a fixed point result in the context of triple controlled metric type spaces with a distinctive contractive condition involving the controlled functions. Secondly, we consider an initial value problem associated with a nonlinear Volterra–Fredholm integro-dynamic equation and … mt airy fireWebApr 20, 2024 · In this article we have introduced a metric named complex valued controlled metric type space, more generalized form of controlled metric type spaces. This concept is a new extension of the concept complex valued b -metric type space and this one is different from complex valued extended b -metric space. mt airy fairgroundsWebRecently, Sezen considered some fixed-point results in controlled fuzzy metric spaces. Motivated by Sezen , in this paper, we prove fixed-point theorems on fuzzy triple controlled bipolar metric spaces. Using the obtained results, we give an application to the existence and uniqueness of the solution of some classes of integral equations. mt airy eats