Results 31 to 40 of about 15,516 (285)

Common Coupled Fixed Point Theorems of Single-Valued Mapping for c-Distance in Cone Metric Spaces

open access: yesAbstract and Applied Analysis, 2012
The existence and uniqueness of the common coupled fixed point in cone metric spaces have been studied by considering different types of contractive conditions.
Zaid Mohammed Fadail   +1 more
doaj   +1 more source

Fixed Point and Common Fixed Point Theorems on Ordered Cone b-Metric Spaces

open access: yesAbstract and Applied Analysis, 2013
The concept of a cone b-metric space has been introduced recently as a generalization of a b-metric space and a cone metric space in 2011. The aim of this paper is to establish some fixed point and common fixed point theorems on ordered cone b-metric ...
Sahar Mohammad Abusalim   +1 more
doaj   +1 more source

Midpoints for Thompson's metric on symmetric cones [PDF]

open access: yesOsaka Journal of Mathematics, 2015
11 ...
Lemmens, Bas, Roelands, Mark
openaire   +5 more sources

Common fixed point theorems for cyclic contractive mappings in partial cone b-metric spaces and applications to integral equations

open access: yesNonlinear Analysis, 2016
In this paper, we introduce the concept of partial cone b-metric spaces as a generalization of partial metric, cone metric and b-metric spaces and establish some topological properties of partial cone b-metric spaces.
Chuanxi Zhu   +3 more
doaj   +1 more source

Non-solid cone b-metric spaces over Banach algebras and fixed point results of contractions with vector-valued coefficients

open access: yesOpen Mathematics, 2023
In this article, without requiring solidness of the underlying cone, a kind of new convergence for sequences in cone bb-metric spaces over Banach algebras and a new kind of completeness for such spaces, namely, wrtn-completeness, are introduced.
Xu Shaoyuan, Cheng Suyu, Han Yan
doaj   +1 more source

Some Nonunique Fixed Point Theorems of Ćirić Type on Cone Metric Spaces

open access: yesAbstract and Applied Analysis, 2010
Some results of (Ćirić, 1974) on a nonunique fixed point theorem on the class of metric spaces are extended to the class of cone metric spaces. Namely, nonunique fixed point theorem is proved in orbitally 𝑇 complete cone metric spaces under the ...
Erdal Karapınar
doaj   +1 more source

Expansivity and Cone-fields in Metric Spaces [PDF]

open access: yesJournal of Dynamics and Differential Equations, 2014
Let \(X\) be a metric space. The authors define cone fields on \(X\) in terms of pairs of non-negative real-valued functions defined in neighborhoods of points of the product \(X\times X\). They show that if \(\Lambda\) is an invariant set of a mapping \(f:X\to X\) on which \(f\) is uniformly expansive, then there is a cone-field on \(\Lambda\) such ...
Struski, Łukasz, Tabor, Jacek
openaire   +2 more sources

Fixed point theorem between cone metric space and quasi-cone metric space

open access: yesIndonesian Journal of Electrical Engineering and Computer Science, 2022
This study involves new notions of continuity of mapping between quasi-cone metrics spaces (QCMSs), cone metric spaces (CMSs), and vice versa. The relation between all notions of continuity were thoroughly studied and supported with the help of examples.
Abdullah Al-Yaari   +3 more
openaire   +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

Dislocated cone metric space over Banach algebra and α-quasi contraction mappings of Perov type

open access: yesFixed Point Theory and Applications, 2017
A dislocated cone metric space over Banach algebra is introduced as a generalisation of a cone metric space over Banach algebra as well as a dislocated metric space. Fixed point theorems for Perov-type α-quasi contraction mapping, Kannan-type contraction
Reny George   +3 more
doaj   +1 more source

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