Results 1 to 10 of about 130,578 (174)

On g-fuzzy cone metric spaces [PDF]

open access: yesJournal of Hyperstructures, 2021
The aim of this paper is to introduce and study the concept of generalized fuzzy cone metric space and to obtain thetopology by using G-fuzzy cone metric.
AYŞEGÜL ÇAKSU GÜLER
doaj   +2 more sources

Some Equivalences between Cone b-Metric Spaces and b-Metric Spaces

open access: yesAbstract and Applied Analysis, 2013
We introduce a b-metric on the cone b-metric space and then prove some equivalences between them. As applications, we show that fixed point theorems on cone b-metric spaces can be obtained from fixed point theorems on b-metric spaces.
Poom Kumam   +2 more
doaj   +5 more sources

F-cone metric spaces over Banach algebra [PDF]

open access: yesFixed Point Theory and Applications, 2017
The paper deals with the achievement of introducing the notion of F-cone metric spaces over Banach algebra as a generalization of N p $N_{p}$ -cone metric space over Banach algebra and N b $N_{b}$ -cone metric space over Banach algebra and studying some ...
Jerolina Fernandez   +3 more
doaj   +3 more sources

TVS-cone metric spaces as a special case of metric spaces [PDF]

open access: yes, 2012
There have been a number of generalizations of fixed point results to the so called TVS-cone metric spaces, based on a distance function that takes values in some cone with nonempty interior (solid cone) in some topological vector space. In this paper we
Aranđelović, Ivan D.   +1 more
core   +2 more sources

Arithmetic continuity in cone metric space

open access: yesDera Natung Government College Research Journal, 2020
William Henry Ruckle introduced the notion of arithmetic convergence in the sense that a sequence  defined on the set of natural numbers  is said to be arithmetic convergent if for each  there is an integer  such that for every integer , , where  denotes
Taja Yaying
doaj   +2 more sources

Topologies on Superspaces of TVS-Cone Metric Spaces [PDF]

open access: yesThe Scientific World Journal, 2014
This paper investigates superspaces 𝒫0(X) and 𝒦0(X) of a tvs-cone metric space (X,d), where 𝒫0(X) and 𝒦0(X) are the space consisting of nonempty subsets of X and the space consisting of nonempty compact subsets of X, respectively.
Xun Ge, Shou Lin
doaj   +3 more sources

Caristi’s Fixed Point Theorem in Cone Metric Space

open access: yesJournal of Function Spaces, 2022
In this paper, we provide a short, comprehensive, and brief proof for Caristi-Kirk fixed point result for single and set-valued mappings in cone metric spaces.
Fatemeh Lael, Naeem Saleem, Reny George
doaj   +3 more sources

Modular Cone Metric Spaces [PDF]

open access: yesPure and Applied Mathematics Journal, 2013
In this paper a generalization of a modular metric which is also a generalization of cone metric, is introduced and some of its topological properties are studied. Next, a fixed point theorem in this space is proved and finally by an example, it is proved that the fixed point result of the paper "Ch. Mongkolkeha, W. Sintunavarat, P.
Gamchi, Saeedeh Shamsi   +2 more
openaire   +3 more sources

Some Topological Properties Of Revised Fuzzy Cone Metric Spaces

open access: yesRatio Mathematica, 2023
In this paper, we introduced Revised fuzzy cone Metric space with its topological properties. Likewise A necessary and sufficient condition for a Revised fuzzy cone metric space to be precompact is given.
A Muraliraj, R Thangathamizh
doaj   +1 more source

Smocked Metric Spaces and Their Tangent Cones [PDF]

open access: yesMissouri Journal of Mathematical Sciences, 2021
66 pages, 32 figures, original research by Prof. Sormani, Dr. Kazaras, and a team of students listed both above as authors and also within v1 at the tops of the sections that they specifically worked on, v2 has minor expository changes, v3 has minor technical ...
Sormani, Christiana   +13 more
openaire   +2 more sources

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