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Some notes on the paper "The equivalence of cone metric spaces and metric spaces" [PDF]

open access: yesFixed Point Theory and Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Asadi, Mehdi   +2 more
openaire   +2 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

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

On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems

open access: yesAdvances in Mathematical Physics, 2021
In the present paper, we define J-cone metric spaces over a Banach algebra which is a generalization of Gpb-metric space (Gpb-MS) and cone metric space (CMS) over a Banach algebra.
Jerolina Fernandez   +4 more
doaj   +1 more source

Dugundji’s theorem for cone metric spaces

open access: yesApplied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kieu Phuong Chi, Tran Van An
openaire   +1 more source

A Note on tvs-G-Cone Metric Fixed Point Theory

open access: yesJournal of Applied Mathematics, 2012
For a tvs-G-cone metric space (𝑋,𝐺) and for the family 𝒜 of subsets of X, we introduce a new notion of the tvs-ℋ-cone metric ℋ with respect to G, and we get a fixed result for the 𝒞ℬ𝒲-tvs-G-cone-type function in a complete tvs-G-cone metric space (𝒜,ℋ ...
Ing-Jer Lin   +3 more
doaj   +1 more source

Near-Common Fixed Point Result in Cone Interval b-Metric Spaces over Banach Algebras

open access: yesAxioms, 2021
In this article, we proposed the concept of cone interval b-metric space over Banach algebras. Furthermore, some near-fixed point and near-common fixed point results are proved in the context of cone interval b-metric space and normed interval spaces for
Muhammad Sarwar   +4 more
doaj   +1 more source

Investigation of the fixed-point theorem on a complete cone metric space [PDF]

open access: yesITM Web of Conferences
Metric space is the one of topics in mathematical analysis which is still being studied and developed. Previous research has extended the contraction mappings and completeness properties from metric spaces to other spaces such as cone metric spaces. This
Rahma Zuhra   +2 more
doaj   +1 more source

Cone Metric Spaces over Topological Modules and Fixed Point Theorems for Lipschitz Mappings

open access: yesMathematics, 2020
In this paper, we introduce the concept of cone metric space over a topological left module and we establish some coincidence and common fixed point theorems for self-mappings satisfying a condition of Lipschitz type.
Adrian Nicolae Branga, Ion Marian Olaru
doaj   +1 more source

Common Fixed Point Theorem for Non-Self Mappings Satisfying Generalized Ćirić Type Contraction Condition in Cone Metric Space

open access: yesFixed Point Theory and Applications, 2010
We prove common fixed point theorem for coincidentally commuting nonself mappings satisfying generalized contraction condition of Ćirić type in cone metric space.
P. Vijayaraju   +3 more
doaj   +2 more sources

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