Controlled metric space
Webnamely controlled metric type space, which is an expansion of b-metric space by replacing the constant s with a control function (x;y) to act independently on each term of the triangle inequality on the right side of the equation. In [1], the same authors established the concept of double controlled metric type space by Webextended 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 ...
Controlled metric space
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WebJan 1, 2024 · Abdeljawad et al. introduced the concept of complex-valued triple controlled metric spaces. They utilized the Banach and Kannan fixed point results to show that Fredholm-type integral equations and higher degree polynomial equations have a unique solution in these spaces [67]. 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 …
WebApr 12, 2024 · The authors provide a very important direction for the future work in the framework of Double-Controlled Quasi M-metric spaces. future: As a future work it is highly suggested to study the fixed-circle fixed-ellipse fixed-disc and other fixed-figure problems in the framework of Double-Controlled Quasi M-metric spaces. Future … 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 …
WebAn extension of the extended b-metric spaces, called controlled metric type space, was introduced by Mlaiki et al. . In this paper, we generalize the results of Mehmet [ 10 ] and … WebDec 6, 2024 · Our technique in constructing our new contraction conditions is to insert the control function θ ( u, l) that appears on the right hand side of the triangular inequality of the definition of the controlled metric spaces in the right …
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 …
WebIn [ 16 ], Abdeljawad et al. proposed the following generalization of a controlled metric-type space and named it a double-controlled metric-type space [DCMTS]. Definition 3. (DCMTS). Let be a non-empty set and . A function is called a double-controlled metric type if it satisfies: D ( η , θ ) = 0. if and only if. η = θ. bollinger rps insuranceWebOur 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. bollinger roofing company baltimore mdWebThe 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 … bollinger restaurant thurmontWebFeb 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, by assuming that the “self-distance” of an element is not necessary zero. However, if the value of the metric between two elements is zero, then these two elements are equal. bollinger sanitation and excavatingWebApr 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 ... glycolytic tumorWebIf, 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 ... bollinger rose brut champagneWebOct 30, 2024 · The pair [Math Processing Error] is called a controlled metric space. Remark 1.1 Every controlled metric space is a generalization of a b -metric space and is different from an extended b -metric space. Example 1.1 Let [Math Processing Error]. Define [Math Processing Error] as [Math Processing Error] bollinger rose champagne sainsbury\u0027s