Metric spaces and Lipschitz functions
Infinitesimally Lipschitz functions on metric spaces
... of spaces can be classified by their infinitesimal Lipschitz ...of metric spaces for which the algebra of bounded Lipschitz functions determines the Lipschitz structure for ...
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Pointwise Lipschitz functions on metric spaces
... the metric space, we can deal with many more ...Sobolev spaces to the setting of arbitrary metric measure ...type spaces in this context [10]. He defined the spaces M 1 , p ( X ) for 1 p ...
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Lipschitz-type functions on metric spaces
... find metric spaces X for which the algebra Lip ∗ (X) of bounded Lipschitz functions on X determines the Lipschitz structure of X, we introduce the class of small-determined ...
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The Near Ring of Lipschitz Functions on a Metric Space
... zero-preserving Lipschitz functions on metric spaces that are also abelian groups, using pointwise addition of functions as addition and composition of functions as ...the ...
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A characterization of Bi-Lipschitz embeddable metric spaces in terms of local Bi-Lipschitz embeddability
... any Lipschitz functions on R n is approxi- mated at almost every point by some linear function; that is, a linear combination of the coordinate func- ...doubling metric measure spaces ...
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Distance-Based Classification with Lipschitz Functions
... metric spaces. We want to find a generalization of linear decision functions for metric spaces and define a corre- sponding notion of margin such that the decision function separates ...
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Lipschitz functions on topometric spaces
... from spaces of continuous functions on such a space, we seek here to gain information on a topometric space from the (topologically) continuous and (metrically) Lipschitz functions ...a ...
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Contractive gauge functions in strongly orthogonal metric spaces
... Theorem 1.3. (Eshaghi and et al. [4]) Let (X, ⊥, d) be an O-complete metric space (not necessarily complete metric space) and 0 < λ < 1. Let f : X → X be ⊥-continuous, ⊥-contraction with ...
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Certain subalgebras of Lipschitz algebras of infinitely differentiable functions and their maximal ideal spaces
... Since Z ∈ D(X, M) and M is an algebra sequence, D(X, M ) is a normed function algebra on X. A compact subset X of the complex plane is connected by rectifable arcs if any two points of X can be joined by a rectifiable ...
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Structure of measures in Lipschitz differentiability spaces
... the functions of this sequence to construct a Lipschitz function that is not differentiable almost everywhere on ...a metric measure space and show that the measure has many independent Alberti ...
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Metric Learning with Lipschitz Continuous Functions
... classification, metric learning and Lipschitz ...a Lipschitz extension, which is a distance-based function, can be regarded as a generalised nearest neighbour model, enjoying great representation ...
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Operator Lipschitz estimate functions on Banach spaces
... in [4] . This theory was revised and extended in various directions, including the Banach space setting, in[5]. However, the results in the general setting were much weaker than in the Hilbert space setting. Showed that ...
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Boundary-nonregular functions in the disc algebra and in holomorphic Lipschitz spaces
... HOLOMORPHIC LIPSCHITZ SPACES ...sub- spaces in the classical holomorphic Lipschitz spaces in the disc all of whose non-null functions are nowhere differentiable at the ...
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Common fixed point theorems for Lipschitz-type fuzzy mappings in metric spaces
... for Lipschitz-type fuzzy mappings in complete metric spaces are ...for Lipschitz-type multi-valued mappings in complete metric ...
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Generalization of asplund inequalities on lipschitz functions in fuzzy normed lenear spaces
... Asplund, E. Frechet differentiability of convex functions. Acta Math . 121, 31-47 1968. Bronstedt, A. Conjugate convex functions in topological vector space . Mat.-Fys.Medel Danska Vod Selsk 2 1964. ...
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Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings
... generalized Lipschitz mappings with weaker conditions on generalized Lipschitz ...cone metric spaces with Banach algebras are more useful than the standard results in cone metric ...
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On Besov spaces of logarithmic smoothness and Lipschitz spaces
... We also consider embeddings between spaces B s,b p,q . According to [38, Theorem 2.8.1] or [2, Corol- lary 5.4.21] , if 1 ≤ p ≤ r < ∞, 1 ≤ q ≤ ∞ and s > 0, then B n(1/p−1/r)+s p,q → B s r,q . Note that in ...
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From metric spaces to partial metric spaces
... metric spaces. In this paper, we show that fixed point theorems on partial metric spaces (including the Matthews fixed point theorem) can be deduced from fixed point theorems on metric ...
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Contraction conditions using comparison functions on b-metric spaces
... b-metric spaces to establish results regarding the common fixed points of two mappings, using a contraction condition defined by means of a comparison ...
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Cyclic contractions via auxiliary functions on G-metric spaces
... In this paper, we prove the existence and uniqueness of fixed points of certain cyclic mappings via auxiliary functions in the context of G-metric spaces, which were introduced by Zead and Sims. In ...
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