Results 61 to 70 of about 130,578 (174)
AxiomsThis paper introduces the idea of a cone m-hemi metric space, which extends the idea of an m-hemi metric space. By presenting non-trivial examples, we demonstrate the superiority of cone m-hemi metric spaces over m-hemi metric spaces.
Lifang Guo +5 more
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Order Norm Completions of Cone Metric Spaces
Numerical Functional Analysis and Optimization, 2011 In this article, a completion theorem for cone metric spaces and a completion theorem for cone normed spaces are proved. The completion spaces are constructed by means of an equivalence relation defined via an ordered cone norm on the Banach space E whose cone is strongly minihedral and ordered closed.
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ITM Web of Conferences, 2018 In this paper, we introduce the concept of pentagonal cone b-metric space over Banach algebras as a generalization of cone metric space over Banach algebras and many of its generalizations. Furthermore, we prove Banach fixed point theorem in such a space.
Auwalu Abba
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Balls in generalizations of metric spaces
Journal of Inequalities and Applications, 2016 This paper discusses balls in partial b-metric spaces and cone metric spaces, respectively. Let ( X , p b ) $(X,p_{b})$ be a partial b-metric space in the sense of Mustafa et al. For the family △ of all p b $p_{b}$ -open balls in ( X , p b ) $(X,p_{b})$ ,
Xun Ge, Shou Lin
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Some α−ϕ-Fuzzy Cone Contraction Results with Integral Type Application
Journal of Mathematics, 2021 In this paper, we define α-admissible and α-ϕ-fuzzy cone contraction in fuzzy cone metric space to prove some fixed point theorems. Some related sequences with contraction mappings have been discussed.
Saif Ur Rehman +3 more
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Ciric's fixed point theorem in a cone metric space [PDF]
, 2010 In this paper, we extend a fixed point theorem due to Ciric to a cone metric space.Comment: To appear in ...
Samet, Bessem
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Fixed Point in Topological Vector Space-Valued Cone Metric Spaces [PDF]
Fixed Point Theory and Applications, 2010 AbstractWe obtain common fixed points of a pair of mappings satisfying a generalized contractive type condition in TVS-valued cone metric spaces. Our results generalize some well-known recent results in the literature.
Beg Ismat, Arshad Muhammad, Azam Akbar
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Null Cones in Lorentz-Covariant General Relativity [PDF]
, 2001 The oft-neglected issue of the causal structure in the flat spacetime approach to Einstein's theory of gravity is considered. Consistency requires that the flat metric's null cone be respected, but this does not happen automatically.
Pitts, J. Brian, Schieve, W. C.
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Remarks on Some Recent Fixed Point Results on Quaternion-Valued Metric Spaces
Abstract and Applied Analysis, 2014 Very recently, Ahmed et al. introduced the notion of quaternion-valued metric as a generalization of metric and proved a common fixed point theorem in the context of quaternion-valued metric space.
Ravi P. Agarwal +3 more
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, 2019 The first two authors would like to thank TUBITAK (The Scientific and Technological Research Council of Turkey) for its financial support during their doctorate studies.
POŞUL, Hande +2 more
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