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Topologies on Superspaces of TVS-Cone Metric Spaces [PDF]
The Scientific World Journal, 2014 This paper investigates superspaces 𝒫0(X) and 𝒦0(X) of a tvs-cone metric space (X,d), where 𝒫0(X) and 𝒦0(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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TVS-cone metric spaces as a special case of metric spaces [PDF]
, 2012 There have been a number of generalizations of fixed point results to the so called TVS-cone metric spaces, based on a distance function that takes values in some cone with nonempty interior (solid cone) in some topological vector space. In this paper we
Aranđelović, Ivan D. +1 more
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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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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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Fixed Point Results in Quasi-Cone Metric Spaces [PDF]
Abstract and Applied Analysis, 2013 The main aim of this paper is to prove fixed point theorems in quasi-cone metric spaces which extend the Banach contraction mapping and others. This is achieved by introducing different kinds of Cauchy sequences in quasi-cone metric spaces.
Fawzia Shaddad, Mohd Salmi Md Noorani
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Some properties of fuzzy cone symmetric spaces [PDF]
Journal of Hyperstructures, 2023 In this work, we give a fuzzy analogy of cone symmetric spaces that we call fuzzy cone symmetric spaces. Since these structurere obtained by omitting the triangle inequality in fuzzy cone metric spaces, there are topological degenerations.
Tarkan Oner
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Modular Cone Metric Spaces [PDF]
Pure 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
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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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Fixed Point Theorems in Cone Metric Spaces via c-Distance Over Topological Module
International Journal of Analysis and Applications, 2023 In 2011, Wang and Guo introduced c-distance in cone metric spaces. The idea of cone metric spaces over topological modules was presented by Branga and Olaru in 2020.
Shallu Sharma +3 more
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