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Partially ordered metric spaces

WebDOI: 10.1063/1.5121077 Corpus ID: 202429837; A υ-fixed point under (ψ, θ, ϕ)-weak contraction conditions in partially ordered quasi metric space @article{Zuhra2024AP, title={A $\upsilon$-fixed point under ($\psi$, $\theta$, ϕ)-weak contraction conditions in partially ordered quasi metric space}, author={Rahma Zuhra and Habibulla Akhadkulov … Web1 Oct 2011 · Let (X, ≤) be a partially ordered set and suppose there is a metric d on X such that (X, d) is a complete metric space. Assume that X has the following property: ( i ) if a non-decreasing sequence { x n } → x , then x n ≤ x for all n , ( ii ) if a non-increasing sequence { y n } → y , then y n ≥ y for all n .

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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 . Web22 Jul 2015 · After the appearance of Nieto and Rodríguez-López’s theorem, the branch of fixed point theory devoted to the setting of partially ordered metric spaces have attracted much attention in the last years, especially when coupled, tripled, quadrupled and, in general, multidimensional fixed points are studied. Almost all papers in this direction have been … suzuki gsx s150 price in bangladesh https://simul-fortes.com

(PDF) Fixed point theorems in partially ordered Metric …

Web7 Apr 2024 · Taking into account that every metric space is a quasi-metric space, we derive from our main result, Theorem 2.1, a fixed point theorem for self-mappings in partially ordered metric spaces which improves Theorem 1.1. Corollary 2.6. Let (X, d, ≼) be a partially ordered metric space such that (X, d) is complete and let f : X → X 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 … 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 … bar marrakech tarifa menú

Coupled fixed point theorems on partially ordered G-metric spaces …

Category:A note on three different contractions in partially ordered complex ...

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Partially ordered metric spaces

A fixed point theorem for contractions of rational type in partially ...

Web4 Apr 2024 · The existence of best proximity point is an important aspect of optimization theory. We define the concept of proximally monotone Lipschitzian mappings on a … Web23 Dec 2015 · We obtain sufficient conditions for the existence and uniqueness of best proximity points for a new class of non-self mappings involving simulation functions in a metric space endowed with a partial order. Some interesting consequences including fixed point results via simulation functions are presented.

Partially ordered metric spaces

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Web22 Sep 2024 · In this paper we present some fixed point theorems for self mappings satisfying generalized $$(\phi , \psi )$$ -weak contraction condition in partially ordered complete b-metric spaces. The results presented over here generalize and extend some existing results in the literature. Finally, we illustrate two examples to support our results. … WebOur 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 ...

Web8 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. Web15 Jun 2024 · Z. D. Mitrović and S. Radenović introduced in [The Banach and Reich contractions in bv (s)-metric spaces, J. Fixed Point Theory Appl. 19 (2024), 3087-3095] a new class of generalized metric ...

Web1 Apr 2016 · Each partially ordered metric space (X, m, ≤) produced by a T 0-quasi-metric on X is completely regularly ordered. Proof. Let d be a T 0-quasi-metric on X producing (X, … Web15 Jun 2009 · Let (X, ≤) be a partially ordered set and suppose there is a metric d on X such that (X, d) is a complete metric space. Let F: X × X → X be a continuous mapping having …

Web15 Oct 2024 · In complete partially ordered metric space, the existence of a fixed point of a self mapping satisfying generalized contraction of rational type is discussed. The …

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 … bar marrakech zaragozaWebAlso, a partial metric space is a generalization of a metric space; indeed, if an axiom P1:p(x,x)= 0 is imposed, then the above axioms reduce to their metric counterparts. Thus, … suzuki gsx s150 modifWeb15 Oct 2024 · In complete partially ordered metric space, the existence of a fixed point of a self mapping satisfying generalized contraction of rational type is discussed. The uniqueness of a fixed point of the mapping is also obtained under an order relation in the space. Suitable examples are given at all possible stages to support the new findings. suzuki gsx s150 price in bangladesh 2021