Results 41 to 50 of about 7,704,065 (318)

Hyperconvexity and endpoints in T₀-quasi-metric spaces [PDF]

open access: yes, 2013
Over the last decades much progress has been made in the investigation of hyperconvexity in metric spaces. Recently Kemajou and others have published an article concerning hyperconvexity in T₀-quasi-metric spaces.
Haihambo, Paulus
core   +1 more source

Density and extension of differentiable functions on metric measure spaces

open access: yes, 2021
We consider vector valued mappings de ned on metric measure spaces with a measurable differ-entiable structure and study both approximations by nicer mappings and regular extensions of the givenmappings when de ned on closed subsets.
Espínola García, Rafael   +1 more
core   +1 more source

The Calabi metric for the space of Kähler metrics [PDF]

open access: yesMathematische Annalen, 2011
Given any closed Kaehler manifold we define, following an idea by Eugenio Calabi, a Riemannian metric on the space of Kaehler metrics regarded as an infinite dimensional manifold. We prove several geometrical features of the resulting space, some of which we think were already known to Calabi.
openaire   +4 more sources

Some Fixed-Point Theorems over a Generalized F-Metric Space

open access: yesAdvances 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

Sobolev Spaces in Extended Metric-Measure Spaces [PDF]

open access: yes, 2021
These lecture notes contain an extended version of the material presented in the C.I.M.E. summer course in 2017. The aim is to give a detailed introduction to the metric Sobolev theory. The notes are divided in four main parts.
Savaré, Giuseppe, Giuseppe Savaré
core   +1 more source

-Meir-Keeler Contraction Mappings in Generalized -Metric Spaces

open access: yes, 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

Analysis in Metric Spaces

open access: yesNotices of the American Mathematical Society, 2020
This note is a survey of Analysis on Metric spaces, in connection with the upcoming AMS Mathematics Research Communities program in June 2020.
Bonk, Mario   +4 more
openaire   +3 more sources

Inhomogeneous parabolic equations on unbounded metric measure spaces [PDF]

open access: yes, 2012
We study the inhomogeneous semilinear parabolic equation ut = Δu + up + f(x), with source term f independent of time and subject to f(x) ≥ 0 and with u(0, x) = φ(x) ≥ 0, for the very general setting of a metric measure space. By establishing Harnack-type
Hu, Jiaxin   +5 more
core   +1 more source

On Statistical Convergence of Order α in Partial Cone Metric Spaces

open access: yesMathematics
The importance of sequence spaces has increased with the emergence of various new convergence methods such as statistical convergence. On the other hand, partial metric spaces hold an important place in computer science, data science, and convergence ...
Süleyman Sarikaya   +3 more
doaj   +1 more source

Fixed point theorems in metric spaces and probabilistic metric spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
In this paper, we prove some common fixed point theorems for compatible mappings of type (A) in metric spaces and probabilistic metric spaces Also, we extend Caristi's fixed point theorem and Ekeland's variational principle in metric spaces to ...
Yeol Je Cho   +2 more
doaj   +1 more source

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