Results 61 to 70 of about 216 (129)

The metrization of statistical metric spaces [PDF]

Pacific Journal of Mathematics, 1960
Schweizer, B., Sklar, A., Thorp, E.
openaire   +2 more sources

Metrizability of Cone Metric Spaces Via Renorming the Banach Spaces

, 2011
In this paper we show that by renorming an ordered Banach space, every cone P can be converted to a normal cone with constant K = 1 and consequently due to this approach every cone metric space is really a metric one and every theorem in metric space valid for cone metric space automatically.
Asadi, Mehdi, Vaezpour, S. Mansour, Soleiman, Hossein   +2 more
openaire   +2 more sources

Proceedings of the Japan Academy - History, database, and trend. [PDF]

Proc Jpn Acad Ser B Phys Biol Sci, 2023
Iye M.
europepmc   +1 more source

Concerning quasi-complete spaces

, 1976
In this paper we present a detailed study of the class of quasi-complete spaces. The relationship of quasi-complete spaces to wΔ-spaces and p-spaces is investigated.
Gittings, Raymond F., Raymond F. Gittings   +1 more
core   +1 more source

A characterization of partial metrizability: domains are quantifiable

, 2003
A characterization of partial metrizability is given which provides a partial solution to an open problem stated by Künzi in the survey paper Non-symmetric Topology (in: Proceedings of the Szekszard Conference, Bolyai Soc. Math. Studies, Vol. 4, 1993, pp.
Schellekens, M.P.
core   +1 more source

A short proof of the metrizability of $\mathcal{F}$-metric spaces

, 2019
The main purpose of this manuscript is to provide a short proof of the metrizability of $\mathcal{F}$-metric spaces introduced by Jleli and Samet in \cite[\, Jleli, M. and Samet, B., On a new generalization of metric spaces, J. Fixed Point Theory Appl. (2018) 20:128]{JS1}.
Som, Sumit, Dey, Lakshmi Kanta
openaire   +2 more sources

Conditions Which Imply Metrizability in some Generalized Metric Spaces*

, 1999
In this paper we show that two important generalized metric properties are generalizations of first countability. We give some conditions on these generalized metric properties which imply metrizability.
Mohamad, A.M.
core  

A new generalization on metric space and its metrizability.

JOURNAL OF ADVANCES IN MATHEMATICS
In this paper, our particular scope is to give a new generalization for the metric function and after that a proof of the metrizability of generalized φ-metric space. This new approach is influenced by the Chittenden’s metrization theorem.
Stela Çeno, Ledia Subashi
openaire   +1 more source

Probability measures on metric spaces

, 2005
In this book, the author gives a cohesive account of the theory of probability measures on complete metric spaces (which is viewed as an alternative approach to the general theory of stochastic processes).
Parthasarathy, K R
core  

Covering dimension in general spaces

, 1971
In the usual development of dimension theory in metric spaces, the equivalence of covering and large inductive dimension plays a central role. In this paper we develope the basic theory of dimension directly from the notion of covering dimension. Several
Ostrand, Phillip A., Phillip A. Ostrand
core   +1 more source