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Coupled Fixed Point Theorems of Single-Valued Mapping for c-Distance in Cone Metric Spaces [PDF]
Journal of Applied Mathematics, 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 coupled fixed-point theorems on c-distance in cone metric space. Some examples are given.
Zaid Mohammed Fadail +1 more
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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
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Fredholm integral equation in composed-cone metric spaces [PDF]
Boundary Value ProblemsThe current paper introduces a novel generalization of cone metric spaces called type I and type II composed cone metric spaces. Therefore, examples of a type I and type II composed cone metric space, which is not a cone metric space, are given.
Anas A. Hijab +3 more
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Topologies on Superspaces of TVS-Cone Metric Spaces [PDF]
The Scientific World Journal, 2014 This paper investigates superspaces đť’«0(X) and đť’¦0(X) of a tvs-cone metric space (X,d), where đť’«0(X) and đť’¦0(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
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Some Equivalences between Cone b-Metric Spaces and b-Metric Spaces
Abstract 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
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Caristi’s Fixed Point Theorem in Cone Metric Space
Journal 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
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On g-fuzzy cone metric spaces [PDF]
Journal 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
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Smocked Metric Spaces and Their Tangent Cones [PDF]
Missouri 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
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Some Topological Properties Of Revised Fuzzy Cone Metric Spaces
Ratio 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
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Topological Vector Space-Valued Cone Metric Spaces and Fixed Point Theorems
Fixed Point Theory and Applications, 2010 We develop the theory of topological vector space valued cone metric spaces with nonnormal cones. We prove three general fixed point results in these spaces and deduce as corollaries several extensions of theorems about fixed points and common fixed ...
Radenović Stojan +2 more
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