Results 71 to 80 of about 130,578 (174)

Compactness of Fuzzy Cone Metric Spaces

open access: yesJournal of Al-Nahrain University-Scienc, 2016
Cone metric spaces may be considered as a generalization of determinist metric spaces or fuzzy metric spaces. In this paper, we will construct fuzzy cone metric space using different approaches, which is based on the definition of fuzzy points, and then study different types of compact subsets of such spaces, as well as, the relationship among them.
Fadhel S. Fadhel, Amer A. Abdullah
openaire   +1 more source

On Multivalued Contractions in Cone Metric Spaces without Normality

open access: yesThe Scientific World Journal, 2013
Wardowski (2011) in this paper for a normal cone metric space (X,d) and for the family 𝒜 of subsets of X established a new cone metric H:𝒜×𝒜→E and obtained fixed point of set-valued contraction of Nadler type.
Muhammad Arshad, Jamshaid Ahmad
doaj   +1 more source

Integral Operators in b-Metric and Generalized b-Metric Spaces and Boundary Value Problems

open access: yesFractal and Fractional
We study fixed-point theorems of contractive mappings in b-metric space, cone b-metric space, and the newly introduced extended b-metric space. To generalize an existence and uniqueness result for the so-called Φs functions in the b-metric space to the ...
Christopher Middlebrook, Wenying Feng
doaj   +1 more source

Best approximations in cone metric spaces [PDF]

open access: yesMathematica Moravica, 2007
Huang and Zhang defined cone metric spaces in 2007 ((1)). We shall give some results about characterization of best approximations in the cone metric spaces.
openaire   +1 more source

New Fixed Point Results of Single-Valued Mapping for c-Distance in Cone Metric Spaces

open access: yesAbstract and Applied Analysis, 2012
A new concept of the c-distance in cone metric space has been introduced recently in 2011. The aim of this paper is to extend and generalize some fixed point results in literature for c-distance in cone metric spaces by replacing the constants in ...
Zaid Mohammed Fadail   +2 more
doaj   +1 more source

I - convergence on cone metric spaces

open access: yesSarajevo Journal of Mathematics, 2013
The concept of I{convergence is an important generaliza- tion of statistical convergence which depends on the notion of an ideal I of subsets of the set N of positive integers. In this paper we introduce the ideas of I{Cauchy and I {Cauchy sequences in cone metric spaces and study their properties.
Sudip Kumar Pal   +2 more
openaire   +1 more source

FIXED POINT THEOREMS IN GENERALISED CONE METRIC SPACES

open access: yesJOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2023
Within a new class of recently proposed generalised cone metric space, we present generalised cone metric space and establish various generalisations of f ixed point findings for cone version contraction types of Kannan and Chatterjea.ction has also been developed.
openaire   +1 more source

A new survey: Cone metric spaces

open access: yes, 2018
The purpose of this new survey paper is, among other things, to collect in one place most of the articles on cone (abstract, K-metric) spaces, published after 2007. This list can be useful to young researchers trying to work in this part of functional and nonlinear analysis.
Aleksic, Suzana   +3 more
openaire   +2 more sources

On partial cone metric spaces

open access: yes, 2012
In this paper the concept of a partial cone metric space is investigated, some continuity type theorems, and fixed point theorems of contractive mappings in this generalized setting are proved as well as some theorems related to topological properties.
openaire   +2 more sources

Quasi statistical convergence in cone metric spaces

open access: yes, 2018
Summary: The main purpose of this paper is to define a new type of statistical convergence of sequences in a cone metric space and investigate the relations of these sequences with some other sequences.
Turan, Nihan   +2 more
openaire   +2 more sources

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