Controlled metric space

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August undefined, 2024

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]. 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 …

(PDF) Fuzzy Triple Controlled Metric Spaces and Related

WebApr 10, 2024 · New fixed point results in controlled metric type spaces based on new contractive conditions Wasfi Shatanawi et al., AIMS Mathematics, 2024 A Finite-time … 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 … child\u0027s dungarees sewing pattern

Metric Spaces (Definition and Examples) Introduction to Metric …

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. … 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 … 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. … child\\u0027s ear protection

Mathematics Free Full-Text Double-Composed Metric Spaces

Fixed point results via a Hausdorff controlled type metric

WebApr 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. 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 … child\\u0027s ear infectionWebFeb 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. child\u0027s ear infection

"WebRecently, 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. " - Controlled metric space

Controlled metric space

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 … 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.

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WebSome of the following notions are used throughout this article: CMS for controlled metric space, DCMS for double-controlled metric space, and CDCMS for complete double-controlled metric space. Definition 1. [ 1] Consider a non-empty set and s ≥ 1. A function is said to be a b-metric if for all (B1) iff (B2) (B3) 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 ...

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 … 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 …

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 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.

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 …

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... child\\u0027s ear muffsWebApr 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 ... gp knives shipping timeWebOur 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. gpkisecurewebnp 프로그램 설치WebAn 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 … gp knights logoWebAug 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. gpknives.com troy ilWebOct 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] child\u0027s ear muffsWebJan 1, 2024 · We also discuss controlled metric spaces endowed with a graph and obtain some common fixed point results in this newly introduced space. As an application of our leading result, we examine... gpk micro collection