metric measure spaces
Regularity of the Solutions to SPDEs in Metric Measure Spaces
... on metric measure spaces admitting heat kernel ...on metric measure spaces and solve the equation in a pathwise sense for al- most all ...the metric measure ...
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The boundedness of Marcinkiewicz integrals commutators on non homogeneous metric measure spaces
... non-doubling measure μ has proved to play a striking role in solving the long-standing open Painlevé’s problem and Vitushkin’s conjecture by Tolsa ...non-doubling measure μ may not satisfy the well-known ...
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Nonlinear diffusion equations and curvature conditions in metric measure spaces
... of metric measure spaces (X, d, ...the metric measure structure) both approaches are shown to be equivalent to the strong CD ∗ (K, N ) condition of ...
120
Sharp and rigid isoperimetric inequalities in metric measure spaces with lower Ricci curvature bounds
... a metric measure space with m(X ) = 1 having (in a synthetic sense) Ricci curvature bounded from below by K > 0 and dimension bounded above by N ∈ [1,∞), then the classic L´ evy-Gromov isoperimetric ...
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Fractional type Marcinkiewicz integrals over non homogeneous metric measure spaces
... of metric measure spaces which sat- isfy the so-called upper doubling and the geometrically doubling conditions (see also Def- initions ...new spaces are called non- homogeneous metric ...
15
Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds
... of metric measure spaces satisfying the so-called curvature–dimension condition CD .../ spaces are (weighted) Riemannian manifolds satisfying lower Ricci curvature bounds and their measured ...
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Differentiability and Poincaré type inequalities in metric measure spaces
... is spaces for which Cheeger differentiability is only a priori known for real valued Lipschitz ...PI spaces or countable unions of subsets ...studying spaces with Alberti representations that connect ...
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A note on the almost Schur lemma on smooth metric measure spaces
... smooth metric measure spaces are established under m-Bakry–Émery Ricci conditions or ∞-Bakry–Émery Ricci conditions, which imply the results of Cheng [6] and De Lellis– Topping [11] whenever the ...
13
Multilinear fractional integral operators on non homogeneous metric measure spaces
... non-homogeneous metric measure spaces (X, d, μ), which contains the homogeneous spaces and non-doubling measure ...ric measure spaces; see, ...
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Eigenvalue inequalities of elliptic operators in weighted divergence form on smooth metric measure spaces
... smooth metric measure ...smooth metric measure space with boundary (possibly ...smooth metric measure spaces, the Gaussian shrinking solitons, and the general product ...
15
Cone Metric Spaces are not Generalized Metric Spaces: A Plenary Survey
... Abstract. We round up the concept of cone metric spaces, by giving major tries, to make general, the concept of metric spaces. Authors always reached the conclusion that they didn’t really ...
8
Metric-like spaces, partial metric spaces and fixed points
... a metric-like space, as a generalization of a partial metric space, we mean a pair (X , σ ), where X is a nonempty set and σ : X × X → R satisfies all of the conditions of a metric except that σ (x, ...
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Sequence spaces of fuzzy numbers defined by a sequence of moduli
... Alotaibi, Mursaleen, Sharma and Mohiuddine[1] used the Musielak-Orlicz function M= (M k ) , p = ( p k ) a bounded sequence of positive real numbers and σ one- to- one mapping from the set of positive integers into it ...
12
Common Fixed Point Theorems in Fuzzy 2 and Fuzzy 3-Metric Spaces
... 2-metric spaces in a series of his ...2-metric spaces. In 2002, Sharma [13] introduced fuzzy 2-metric space and fuzzy 3-metric space and obtained some common fixed point theorems ...
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A new common fixed point theorem in ordered b-metric-like spaces
... Example 2.3. Let X = [0, ∞) be equipped with the b-metric-like d(x, y) = (x + y) 2 for all x, y ∈ X , where b = 2. Define a relation on X by x y iff y ≤ x, the functions f , g : X → X by f x = ln(1 + 13 x ) and f ...
14
Vol 3, No 6 (2012)
... two metric spaces, ...n-Metric Spaces” International journal of Emerging Trends in Engineering and Development, ...n Metric Spaces”, International Journal of Mathematical Archive ...
7
Property in -Metric Spaces
... G4 Gx, y, z Gx, z, y Gy, z, x · · · symmetry in all three variables, G5 Gx, y, z ≤ Gx, a, a Ga, y, z, for all x, y, z, a ∈ X rectangle inequality. Then the function G is called a generalized metric, or, more ...
12
Suzuki’s type fixed point theorems for generalized mappings in partial cone metric spaces over a solid cone
... partial metric spaces and fixed points for partially ordered metric ...a metric, then we obtain Theorem of ...different metric spaces were investigated (see ...cone metric ...
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Common Fixed Point Theorems for G–Contraction in C∗–Algebra–Valued Metric Spaces
... Now we give some definitions of graph theory which is found in any text on graph theory, for example [11]. Following Jachymski [10], let ∆ denote the diagonal of the X × X in a metric space (X, d), and consider a ...
5
Coupled coincidence points for two mappings in metric spaces and cone metric spaces
... Remark 3.6. Theorem 3.5 is a complement of [[1], Theorem 2.4]. Moreover, Theo- rem 3.5 extends some existing results. For example, one can deduce [[3], Theorem 2.2] from Theorem 3.5. In addition, note that Theorems 3.4 ...
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