Relevant bibliographies by topics / Ab -Metric Space

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Academic literature on the topic 'Ab -Metric Space'

Author: Grafiati
Published: 7 June 2025
Last updated: 2 August 2025

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Journal articles on the topic "Ab -Metric Space"

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Kumam, Poom, Nguyen Van Dung, and Vo Thi Le Hang. "Some Equivalences between Coneb-Metric Spaces andb-Metric Spaces." Abstract and Applied Analysis 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/573740.

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We introduce ab-metric on the coneb-metric space and then prove some equivalences between them. As applications, we show that fixed point theorems on coneb-metric spaces can be obtained from fixed point theorems onb-metric spaces.
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Ab, Metric Space, та Naga Raju V. "On Certain Applications via (𝜑, ℘) -Suzuki type Fixed Point Results in 𝐴𝑏-Metric Spaces". Indian Journal of Science and Technology 17, № 25 (2024): 2635–49. https://doi.org/10.17485/IJST/v17i25.1412.

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Abstract <strong>Objective:</strong>&nbsp;In this study, we establish the existence and uniqueness of the common coupled fixed point theorem on complete - metric space.&nbsp;<strong>Method:</strong>&nbsp;We have used the - type Suzuki contraction on two mappings.&nbsp;<strong>Findings:</strong>&nbsp;For two mappings on the complete -Metric Space, we were able to obtain and prove a unique common coupled fixed point theorem and justify it with a suitable example.&nbsp;<strong>Novelty:</strong>&nbsp;A unique common coupled fixed point is obtained by using -type Suzuki contraction on two mappings
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Rani, Kavvampalli Jyothirmayi, та V. Naga Raju. "On Certain Applications via (𝜑, ℘) -Suzuki type Fixed Point Results in 𝐴𝑏-Metric Spaces". Indian Journal Of Science And Technology 17, № 25 (2024): 2635–49. http://dx.doi.org/10.17485/ijst/v17i25.1412.

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Objective: In this study, we establish the existence and uniqueness of the common coupled fixed point theorem on complete - metric space. Method: We have used the - type Suzuki contraction on two mappings. Findings: For two mappings on the complete -Metric Space, we were able to obtain and prove a unique common coupled fixed point theorem and justify it with a suitable example. Novelty: A unique common coupled fixed point is obtained by using -type Suzuki contraction on two mappings and application of Suzuki contractive fixed point solutions of - type to integral equations in the setup of -Met
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Demma, Marta, and Pasquale Vetro. "Picard Sequence and Fixed Point Results onb-Metric Spaces." Journal of Function Spaces 2015 (2015): 1–6. http://dx.doi.org/10.1155/2015/189861.

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We obtain some fixed point results for single-valued and multivalued mappings in the setting of ab-metric space. These results are generalizations of the analogous ones recently proved by Khojasteh, Abbas, and Costache.
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Naresh, P., G. Upender Reddy, and B. Srinuvasa Rao. "Existence Suzuki Type Fixed Point Results in Ab-Metric Spaces With Application." International Journal of Analysis and Applications 20 (December 15, 2022): 67. http://dx.doi.org/10.28924/2291-8639-20-2022-67.

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In this paper, we give some applications to integral equations as well as homotopy theory via Suzuki contractive type common coupled fixed point results in complete Ab-metric space. We also furnish an example which supports our main result.
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Ullah, Ahammed, Nasif Ahmed, Subrata Dey Pappu, Swakkhar Shatabda, A. Z. M. Dayem Ullah, and M. Sohel Rahman. "Efficient conformational space exploration in ab initio protein folding simulation." Royal Society Open Science 2, no. 8 (2015): 150238. http://dx.doi.org/10.1098/rsos.150238.

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Ab initio protein folding simulation largely depends on knowledge-based energy functions that are derived from known protein structures using statistical methods. These knowledge-based energy functions provide us with a good approximation of real protein energetics. However, these energy functions are not very informative for search algorithms and fail to distinguish the types of amino acid interactions that contribute largely to the energy function from those that do not. As a result, search algorithms frequently get trapped into the local minima. On the other hand, the hydrophobic–polar (HP)
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Shupe, David L., Frank J. Masci, Ranga Ram Chary, et al. "Annotated Coadds: Concise Metrics for Characterizing Survey Cadence and for Discovering Variable and Transient Sources." Publications of the Astronomical Society of the Pacific 135, no. 1050 (2023): 084503. http://dx.doi.org/10.1088/1538-3873/aceeb6.

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Abstract In order to study transient phenomena in the Universe, existing and forthcoming imaging surveys are covering wide areas of sky repeatedly over time, with a range of cadences, point spread functions, and depths. We describe here a framework that allows an efficient search for different types of time-varying astrophysical phenomena in current and future, large data repositories. We first present a methodology to generate and store key survey parameters that enable researchers to determine if a survey, or a combination of surveys, allows specific time-variable astrophysical phenomena to
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Coghetto, Roland. "Pappus’s Hexagon Theorem in Real Projective Plane." Formalized Mathematics 29, no. 2 (2021): 69–76. http://dx.doi.org/10.2478/forma-2021-0007.

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Summary. In this article we prove, using Mizar [2], [1], the Pappus’s hexagon theorem in the real projective plane: “Given one set of collinear points A, B, C, and another set of collinear points a, b, c, then the intersection points X, Y, Z of line pairs Ab and aB, Ac and aC, Bc and bC are collinear” https://en.wikipedia.org/wiki/Pappus’s_hexagon_theorem . More precisely, we prove that the structure ProjectiveSpace TOP-REAL3 [10] (where TOP-REAL3 is a metric space defined in [5]) satisfies the Pappus’s axiom defined in [11] by Wojciech Leończuk and Krzysztof Prażmowski. Eugeniusz Kusak and Wo
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Heller, Michael, Tomasz Miller, Leszek Pysiak, and Wiesław Sasin. "Generalized derivations and general relativity." Canadian Journal of Physics 91, no. 10 (2013): 757–63. http://dx.doi.org/10.1139/cjp-2013-0186.

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We construct differential geometry (connection, curvature, etc.) based on generalized derivations of an algebra [Formula: see text]. Such a derivation, introduced by Brešar in 1991, is given by a linear mapping [Formula: see text] such that there exists a usual derivation, d, of [Formula: see text] satisfying the generalized Leibniz rule u(ab) = u(a)b + ad(b) for all [Formula: see text]. The generalized geometry “is tested” in the case of the algebra of smooth functions on a manifold. We then apply this machinery to study generalized general relativity. We define the Einstein–Hilbert action an
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Jorda, Julien, Michael R. Sawaya, and Todd O. Yeates. "Progress in low-resolutionab initiophasing withCrowdPhase." Acta Crystallographica Section D Structural Biology 72, no. 3 (2016): 446–53. http://dx.doi.org/10.1107/s2059798316003405.

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Ab initiophasing by direct computational methods in low-resolution X-ray crystallography is a long-standing challenge. A common approach is to consider it as two subproblems: sampling of phase space and identification of the correct solution. While the former is amenable to a myriad of search algorithms, devising a reliable target function for the latter problem remains an open question. Here, recent developments inCrowdPhase, a collaborative online game powered by a genetic algorithm that evolves an initial population of individuals with random genetic make-up (i.e.random phases) each express
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Book chapters on the topic "Ab -Metric Space"

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Feferman, Solomon, John W. Dawson, Stephen C. Kleene, Gregory H. Moore, Robert M. Solovay, and Jean van Heijenoort. "On Wald’s axiomatization of the notion of betweenness (1933c)." In Kurt GöDel Collected Works Volume I. Oxford University PressNew York, NY, 2001. http://dx.doi.org/10.1093/oso/9780195147209.003.0059.

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Abstract In his axiomatization of the notion of betweenness (1931 and 1932), Wald proves that three points a, b and e stand in a relation defined for all triples of points in all metric spaces and satisfying certain conditions if and only if the relation ab + be = ae holds for the distances between them, that is, if and only if b lies between a and e in Menger’s sense. Among the conditions imposed on the relation there appears that of invariance under congruence, that is, if three points a, b and e satisfy the relation in question, then any three points a’, b’ and e’ congruent to them are also
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Bhattacharji, Shobhana. "Byron’s Early Poetical Practices." In The Oxford Handbook of Lord Byron. Oxford University Press, 2024. http://dx.doi.org/10.1093/oxfordhb/9780198808800.013.7.

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Abstract In the more than 170 poems Byron wrote between 1798 and March 1812, when Childe Harold’s Pilgrimage was published, he developed and honed the poetical practices he would use to the end of his career. This chapter examines his very first poem, the first and last volumes of the Southwell poems, and his early sonnets, which show him discovering and developing quickness of composition, variations on ab rhymes, voice and tone, enjambment, digression, single sentence poems and stanzas that became the long cadences of Childe Harold. It looks at examples of Byron trying out conversational sty
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Conference papers on the topic "Ab -Metric Space"

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Xenides, Demetrios, George Maroulis, and Theodore E. Simos. "Finding the Pattern in the Space of ab initio and DFT Theoretical Descriptions: A Pattern Recognition and Metric Space Approach Based on the Electric Response Properties of the Open and Ring Isomers of XO[sub 2] (X = O,S)." In COMPUTATIONAL METHODS IN MODERN SCIENCE AND ENGINEERING: Advances in Computational Science: Lectures presented at the International Conference on Computational Methods in Sciences and Engineering 2008 (ICCMSE 2008). AIP, 2009. http://dx.doi.org/10.1063/1.3117133.

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