Results 61 to 70 of about 6,808,491 (270)
Common fixed point theorem for weakly compatible mappings in Sm metric space
Ratio Mathematica, 2023 In the present paper, at first, we study the structure of the newly Smmetric space, which is a union of S-metric space and multiplicative metric space with new contraction condition.
Mallaiah Katta, Srinivas Veladi
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A generalized metric space and related fixed point theorems
, 2015 We introduce a new concept of generalized metric spaces for which we extend some well-known fixed point results including Banach contraction principle, Ćirić’s fixed point theorem, a fixed point result due to Ran and Reurings, and a fixed point result ...
M. Jleli, B. Samet
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Fixed Point Results for (ψ, ϕ)-Contractive Mapping in GF-Metric Space
Ratio MathematicaThe main goal of this work is to present GF -metric space, a new generalization of G-metric space. A comparison between the classes of G-metric spaces, GP-metric spaces, Gb-metric spaces, generalized Gb-metric spaces, and G∗ -metric spaces and the class ...
Kapil Jain +2 more
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A metric space associated with probability space
International Journal of Mathematics and Mathematical Sciences, 1993 For a complete probability space (Ω,∑,P), the set of all complete sub-σ-algebras of ∑, S(∑), is given a natural metric and studied. The questions of when S(∑) is compact or connected are awswered and the important subset consisting of all continuous sub ...
Keith F. Taylor, Xikui Wang
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Extended rectangular fuzzy b-metric space with application
AIMS Mathematics, 2022 In this paper, we introduce an extended rectangular fuzzy b-metric space which generalizes rectangular fuzzy b-metric space and rectangular fuzzy metric space. We show that an extended rectangular fuzzy b-metric space is not Hausdorff.
Naeem Saleem +3 more
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Fixed points of monotone nonexpansive mappings on a hyperbolic metric space with a graph
, 2015 In this work, we define the concept of G-monotone nonexpansive multivalued mappings defined on a metric space with a graph G. Then we obtain sufficient conditions for the existence of fixed points for such mappings in hyperbolic metric spaces.
M. Alfuraidan, M. Khamsi
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Compactness in Metric Spaces [PDF]
Formalized Mathematics, 2016 Summary In this article, we mainly formalize in Mizar [2] the equivalence among a few compactness definitions of metric spaces, norm spaces, and the real line. In the first section, we formalized general topological properties of metric spaces.
Nakasho, Kazuhisa +2 more
openaire +3 more sources
, 2007 This paper presents a comprehensive perspective of the metric of quantum states with a focus on the background independent metric structures. We also explore the possibilities of geometrical formulations of quantum mechanics beyond the quantum state ...
A. Shapere +18 more
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The Gromov–Hausdorff metric on the space of compact metric spaces is strictly intrinsic [PDF]
, 2015 It is proved that the Gromov-Hausdorff metric on the space of compact metric spaces considered up to an isometry is strictly intrinsic, i.e., the corresponding metric space is geodesic.
A. Ivanov, N. K. Nikolaeva, A. Tuzhilin
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Common fixed points for weak commutative mappings on a multiplicative metric space
, 2014 In this paper, we discuss the unique common fixed point of two pairs of weak commutative mappings on a complete multiplicative metric space. They satisfy the following inequality: d(Sx,Ty)≤{max{d(Ax,By),d(Ax,Sx),d(By,Ty),d(Sx,By),d(Ax,Ty)}}λ, where A and
Xiaoju He, Meimei Song, D. Chen
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