Partially ordered metric spaces
Web18 Dec 2024 · The existence of fixed points in partially ordered metric spaces was first established by Nieto and Rodriguez-Lopez . In this direction, Choudhury and Metiya … Web16 Oct 2024 · Definition 1.6. An preordered metric space is a triple (X,d,\preccurlyeq ) where ( X , d) is a metric space and \preccurlyeq is a preorder on X. One of the most important …
Partially ordered metric spaces
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Webpartially ordered S-metric spaces and generalized the main results of [6], [10], [15] into the structure of S-metric spaces. In recent times, Hieu et al. [11] proved a fixed point theorem for a class of maps depending on another map on S-metric spaces and obtained the fixed point theorems in [16] and [23]. Very recent, An WebIn this paper, we consider the concept of a @W-distance on a complete partially ordered G-metric space and prove some fixed point theorems. Fixed point theorems in generalized …
Web1 Aug 2014 · CAKIĆ, N.— RAJOVIĆ, M.— UME, J. S.: Monotone generalized nonlinear contractions in partially ordered metric spaces, Fixed Point Theory Appl. 2008, Article ID 131294, 11 pp. 10.1155/2008/131294 Search in Google Scholar Web5 Mar 2014 · Let be two nonempty subsets of a -metric space such that is a complete -metric space, is nonempty, and is approximatively compact with respect to . Assume that is a ---proximal contractive mapping such that . Then has the unique best proximity point; that is, there exists unique such that . Proof. Since the subset is not empty, we take in .
Web14 Mar 2024 · In this paper, we introduce a new class of mappings called “generalized β-ϕ-Geraghty contraction-type mappings”. We use our new class to formulate and prove some coupled fixed points in the setting of partially ordered metric spaces. Our results generalize and unite several findings known in the literature. We also … Web6 May 2015 · In this section, we obtain common coupled fixed point results of mappings satisfying more general contractive conditions in the framework of partially ordered A-metric spaces. We start with the following result. Theorem 3.1. Let \(( X,\leq,A)\) be a partially ordered complete A-metric space, \(f,g: X^{2}\rightarrow X \) two maps such …
Webpartially ordered S-metric spaces and generalized the main results of [6], [10], [15] into the structure of S-metric spaces. In recent times, Hieu et al. [11] proved a fixed point … millie bobby brown perreandoWeb19 Feb 2013 · The aim of this paper is to give a version of Theorem 1 in the context of partially ordered metric spaces. Existence of fixed point in partially ordered metric spaces has been considered recently by many authors (see, [2–13], for example). millie bobby brown petitWeb8 Dec 2011 · Abstract. Fixed point theorems for mappings satisfying Geraghty-type contractive conditions are proved in the frame of partial metric spaces, ordered partial metric spaces, and metric-type spaces. Examples are given showing that these results are proper extensions of the existing ones. 1. millie bobby brown personality typeWebThen (X;G; ) is called partially ordered G b-metric space if G is a G b-metric on a partially ordered set (X, ): A subset Kof a partially ordered set X is said to be well ordered if every two elements of Kare comparable. Definition 1.15 ([2, 3]). Let (X; ) be a partially ordered set. A mapping f is called dominating if x fx for millie bobby brown perfumeWeb1 Oct 2006 · In this paper, we introduce the concept of coupled fixed point in partially ordered multiplicative metric space by proving some theorems for the existence and … millie bobby brown phone number 2022WebOur results on partially ordered metric spaces generalize and extend some recent results of Ran and Reurings [A.C.M. Ran, M.C. Reurings, A fixed point theorem in partially ordered sets and some ... millie bobby brown petiteWeb25 Apr 2024 · Download PDF. In this paper, we introduce the complex valued C p -class function, a type of Geraghty contraction and a type of JS contraction in complete partially … millie bobby brown phone