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Informal Complete Metric Space and Fixed Point Theorems
Axioms, 2019 The concept of informal vector space is introduced in this paper. In informal vector space, the additive inverse element does not necessarily exist. The reason is that an element in informal vector space which subtracts itself cannot be a zero element ...
Hsien-Chung Wu
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NONSTANDARD COMPLETION OF NON-COMPLETE METRIC SPACE
Zanco Journal of Pure and Applied Sciences, 2021 Our aim in this study is to establishing nonstandard foundations, definitions and theorems for completion a noncomplete metric spaces. We have a lot of space or sets X which agree with all usual properties of complete, except at a small size subset of it.
Ala Omer Hassan, Ibrahim Othman Hamad
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Rational Geraghty Contractive Mappings and Fixed Point Theorems in Ordered $b_2$-metric Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2019 In 2014, Zead Mustafa introduced $b_2$-metric spaces, as a generalization of both $2$-metric and $b$-metric spaces. Then new fixed point results for the classes of rational Geraghty contractive mappings of type I,II and III in the setup of $b_2$-metric ...
Roghaye Jalal Shahkoohi, Zohreh Bagheri
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The Hausdorff Algebra Fuzzy Distance and its Basic Properties [PDF]
Engineering and Technology Journal, 2021 In this article we recall the definition of algebra fuzzy metric space and its basic properties. In order to introduced the Hausdorff algebra fuzzy metric from fuzzy compact set to another fuzzy compact set we define the algebra fuzzy distance between ...
Zainab Khudhair, Jehad Kider
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A Few Notes on Formal Balls [PDF]
Logical Methods in Computer Science, 2017 Using the notion of formal ball, we present a few new results in the theory of quasi-metric spaces. With no specific order: every continuous Yoneda-complete quasi-metric space is sober and convergence Choquet-complete hence Baire in its $d$-Scott ...
Jean Goubault-Larrecq, Kok Min Ng
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On completable fuzzy metric spaces [PDF]
Fuzzy Sets and Systems, 2015 In this paper we construct a non-completable fuzzy metric space in the sense of George and Veeramani which allows to answer an open question related to continuity on the real parameter t. In addition, the constructed space is not strong (non-Archimedean).
Valentín Gregori +2 more
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Completion of a Dislocated Metric Space [PDF]
Abstract and Applied Analysis, 2015 We provide a construction for the completion of a dislocated metric space (abbreviatedd-metric space); we also prove that the completion of the metric associated with ad-metric coincides with the metric associated with the completion of thed-metric.
Kumari, P. Sumati +3 more
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Completing graphs to metric spaces [PDF]
Contributions to Discrete Mathematics, 2017 We prove that certain classes of metrically homogeneous graphs omitting triangles of odd short perimeter as well as triangles of long perimeter have the extension property for partial automorphisms and we describe their Ramsey expansions.
Andrés Aranda +7 more
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The Completion of Generalized 2-Inner Product Spaces
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 A complete metric space is a well-known concept. Kreyszig shows that every non-complete metric space can be developed into a complete metric space , referred to as completion of . We use the b-Cauchy sequence to form which “is the set of all b-Cauchy
Safa L. Hamad, Zeana Z. Jamil
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Complete metric in the space of discontinuous functions
Lietuvos Matematikos Rinkinys, 2000 Complete metrics in the subspaces Dα, α > 0 of D[0, 1] which were introduced in [2] are given. These metrics are equivalent to the metrics dα defined in [2] and are stronger than the wellknown metric d in D[0,1] given in [1].
Rimas Banys
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