Results 31 to 40 of about 6,012,683 (290)
, 2005 We introduce the notion of metric cotype, a property of metric spaces related to a property of normed spaces, called Rademacher cotype. Apart from settling a long standing open problem in metric geometry, this property is used to prove the following ...
Mendel, Manor, Naor, Assaf
core +6 more sources
Interpolative Reich–Rus–Ćirić Type Contractions on Partial Metric Spaces
Mathematics, 2018 By giving a counter-example, we point out a gap in the paper by Karapinar (Adv. Theory Nonlinear Anal. Its Appl. 2018, 2, 85–87) where the given fixed point may be not unique and we present the corrected version.
E. Karapınar, R. Agarwal, H. Aydi
semanticscholar +1 more source
On Hybrid Contractions in the Context of Quasi-Metric Spaces
Mathematics, 2020 In this manuscript, we will investigate the existence of fixed points for mappings that satisfy some hybrid type contraction conditions in the setting of quasi-metric spaces. We provide examples to assure the validity of the given results. The results of
Andreea Fulga +2 more
doaj +1 more source
Completion of continuity spaces with uniformly vanishing asymmetry [PDF]
, 2014 The classical Cauchy completion of a metric space (by means of Cauchy sequences) as well as the completion of a uniform space (by means of Cauchy filters) are well-known to rely on the symmetry of the metric space or uniform space in question.
Chand, Alveen, Weiss, Ittay
core +1 more source
Boletim da Sociedade Paranaense de Matemática, 2019 The first aim to this paper is to define soft D− metric spaces and to give some fundamentel definitions. In addition to, we prove fixed point theorem of soft continuous mappings on soft D− metric spaces.
Cigdem Gunduz Aras +2 more
openaire +6 more sources
BMO spaces for nondoubling metric measure spaces [PDF]
, 2019 In this article we study the family of $BMO^p$ spaces, $p \geq 1$, in the general context of metric measure spaces. We give a characterization theorem that allows to describe all possible relations between these spaces considered as sets of functions ...
Kosz, Dariusz
core +3 more sources
Newtonian Lorentz metric spaces
Illinois Journal of Mathematics, 2012 This paper studies Newtonian Sobolev-Lorentz spaces. We prove that these spaces are Banach. We also study the global p,q-capacity and the p,q-modulus of families of rectifiable curves. Under some additional assumptions (that is, the space carries a doubling measure and a weak Poincare inequality) and some restrictions on q, we show that the Lipschitz ...
S. Costea, MIRANDA, Michele
openaire +4 more sources
Some Fixed-Point Theorems over a Generalized F-Metric Space
Advances in Mathematical Physics, 2021 In this article, the concept of sequential F-metric spaces has been introduced as a generalization of usual metric spaces, b-metric spaces, JS-metric spaces, and mainly F-metric spaces. Some topological properties of such spaces have been discussed here.
Kushal Roy +4 more
doaj +1 more source
Local classification and examples of an important class of paracontact metric manifolds [PDF]
, 2014 We study paracontact metric $(\kappa,\mu)$-spaces with $\kappa=-1$, equivalent to $h^2=0$ but not $h=0$. In particular, we will give an alternative proof of Theorem 3.2 of [11] and present examples of paracontact metric $(-1,2)$-spaces and $(-1,0 ...
Martín-Molina, Verónica
core +3 more sources
-Meir-Keeler Contraction Mappings in Generalized -Metric Spaces
, 2018 We present a fixed point theorem for generalized -Meir-Keeler type contractions in the setting of generalized -metric spaces. The presented results improve, generalize, and unify many existing famous results in the corresponding literature.
E. Karapınar, S. Czerwik, H. Aydi
semanticscholar +1 more source