A Note on Equivalence of G-Cone Metric Spaces and G-Metric Spaces
Journal of New Theory, 2023 This paper contains the equivalence between tvs-G cone metric and G-metric using a scalarization function $\zeta_p$, defined over a locally convex Hausdorff topological vector space. This function ensures that most studies on the existence and uniqueness
Tarapada Bag, Abhishikta Das
doaj +1 more source
Common Fixed Point in Cone Metric Space for $mathbf{s}-mathbf{varphi}$-contractive [PDF]
Sahand Communications in Mathematical Analysis, 2019 Huang and Zhang cite{Huang} have introduced the concept of cone metric space where the set of real numbers is replaced by an ordered Banach space. Shojaei cite{shojaei} has obtained points of coincidence and common fixed points for s-Contraction mappings
Hamid Shojaei +2 more
doaj +1 more source
Generalized contraction theorem in M -fuzzy cone metric spaces
Journal of Innovative Applied Mathematics and Computational Sciences, 2022 This work defines MM-Fuzzy Cone Metric Space, as a new metric space. It also analyzes possible forms of contractive conditions and groups them accordingly to set up generalized contractive conditions for self-mappings defined over MM-fuzzy cone metric ...
Mookiah Suganthi +2 more
doaj +1 more source
On the Paper: ''Examples in Cone Metric Spaces: A Survey'' Middle East Journal of Scientific Research, 11(12):1636-1640, 2014, M. Asadi, H. Soleimani [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2016 The paper ''Examples in Cone Metric Spaces: A Survey'' had overlooked the fact that -spaces are Banach spaces only for . Here, we show that, for , is not even a normed space .We also pointed out that the domain of the function of Example (1.17) of ...
Abdallah A. Hakawati
doaj +1 more source
Fixed point theorem between cone metric space and quasi-cone metric space
Indonesian 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 +2 more sources
Representing Hierarchical Structured Data Using Cone Embedding
Mathematics, 2023 Extracting hierarchical structure in graph data is becoming an important problem in fields such as natural language processing and developmental biology.
Daisuke Takehara, Kei Kobayashi
doaj +1 more source
A unified theory of cone metric spaces and its applications to the fixed point theory [PDF]
, 2011 In this paper we develop a unified theory for cone metric spaces over a solid vector space. As an application of the new theory we present full statements of the iterated contraction principle and the Banach contraction principle in cone metric spaces ...
Proinov, Petko D.
core +2 more sources
Dislocated cone metric space over Banach algebra and α-quasi contraction mappings of Perov type
Fixed 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
The Structure of Space-Time Emerging from the Two-Superbody Problem in Chern Simons Supergravity [PDF]
, 1996 We show that the exact solution of the two_superbody problem in N=2 Chern Simons Supergravity in 2+1 dimensions leads to a supermultiplet of space-times.
't Hooft +25 more
core +2 more sources
Fixed Point and Common Fixed Point Theorems on Ordered Cone b-Metric Spaces
Abstract 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