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1

Jordá, Enrique. "Weighted Vector-Valued Holomorphic Functions on Banach Spaces." Abstract and Applied Analysis 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/501592.

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We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a functionfdefined in a subsetAof an open and connected subsetUof a Banach spaceX, with values in another Banach spaceE, and admitting certain weak extensions in a Banach space of holomorphic functions can be holomorphically extended in the corresponding Banach space of vector-valued functions.
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2

Cho, Yun-Hi. "RIGONOMETRY IN EXTENDED HYPERBOLIC SPACE AND EXTENDED DE SITTER SPACE." Bulletin of the Korean Mathematical Society 46, no. 6 (2009): 1099–133. http://dx.doi.org/10.4134/bkms.2009.46.6.1099.

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Hopersky, Alexey N., Rustam V. Koneev, and Alexey M. Nadolinsky. "On the Extended Hilbert Space." UNIVERSITY NEWS. NORTH-CAUCASIAN REGION. NATURAL SCIENCES SERIES, no. 1 (March 29, 2024): 38–42. http://dx.doi.org/10.18522/1026-2237-2024-1-38-42.

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The construction of the extended Hilbert space is presented in the form of a direct sum of the spaces of vectors of finite and infinite norms as the main space in the mathematical formalism of quantum mechanics of a many-electron atom. On the example of constructing the analytical structure of the probability amplitude 1s-3p of photoexcitation of a neon atom, the implementation of the EHS-construct for solving the equations of the self-consistent Hartree-Fock field is given.
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4

Herrlich, Frank. "The extended Teichmüller space." Mathematische Zeitschrift 203, no. 1 (1990): 279–91. http://dx.doi.org/10.1007/bf02570736.

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5

Zhuge, Hai, Erlin Yao, Yunpeng Xing, and Jie Liu. "Extended resource space model." Future Generation Computer Systems 21, no. 1 (2005): 189–98. http://dx.doi.org/10.1016/j.future.2004.09.016.

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COTTOM, D. "Orifices Extended in Space." differences 11, no. 2 (1999): 1–21. http://dx.doi.org/10.1215/10407391-11-2-1.

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7

Kumar, Manish. "A Generalized Extended b2 Metric Space and a Fixed - Point Result for and phi;-contraction on a Generalized Extended b2 Metric Space." International Journal of Science and Research (IJSR) 14, no. 2 (2025): 1762–64. https://doi.org/10.21275/sr25226204354.

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Kang, Kiseok Michael. "Extended Space Deterrence: Providing Security Assurance in Space." Journal of Strategic Security 16, no. 2 (2023): 11–25. http://dx.doi.org/10.5038/1944-0472.16.2.2095.

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Many U.S. allies are increasingly dependent on space-based platforms for their military and economic activities. At the same time, the counterspace threats from U.S. adversaries such as China and Russia are rapidly intensifying. The United States has provided extended deterrence to its allies through its overwhelming nuclear and conventional capabilities for decades. The question arises as to whether the time-tested logic of extended deterrence is applicable in the space domain. This research argues that U.S. extended deterrence in space—relying on the traditional mechanism of deterrence-by-pu
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9

Jaime E. Oliver La Rosa. "Extending Space in Varèse's Interpolations: Extended Stereo Space." Perspectives of New Music 51, no. 1 (2013): 262. http://dx.doi.org/10.7757/persnewmusi.51.1.0262.

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10

Jaime E. Oliver La Rosa. "Extending Space in Varèse's Interpolations: Extended Stereo Space." Perspectives of New Music 51, no. 1 (2013): 262–69. http://dx.doi.org/10.1353/pnm.2013.0017.

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11

Gusevskii, N. A., and N. S. Zindinova. "Space of extended Schottky groups." Siberian Mathematical Journal 27, no. 6 (1987): 838–49. http://dx.doi.org/10.1007/bf00970002.

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12

Teofanov, Nenad, and Filip Tomić. "Extended Gevrey Regularity via Weight Matrices." Axioms 11, no. 10 (2022): 576. http://dx.doi.org/10.3390/axioms11100576.

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The main aim of this paper is to compare two recent approaches for investigating the interspace between the union of Gevrey spaces Gt(U) and the space of smooth functions C∞(U). The first approach in the style of Komatsu is based on the properties of two parameter sequences Mp=pτpσ, τ>0, σ>1. The other one uses weight matrices defined by certain weight functions. We prove the equivalence of the corresponding spaces in the Beurling case by taking projective limits with respect to matrix parameters, while in the Roumieu case we need to consider a larger space than the one obtained as the i
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13

Clifton, Nick, Fiona Carroll, and Richard Wheeler. "Proximity, Innovation, Collaboration; Developing the 4th “Extended Reality” Space." Dialogue and Universalism 32, no. 2 (2022): 61–82. http://dx.doi.org/10.5840/du202232228.

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The digital “4th Space” is a development of Oldenburg’s delineation of the 1st (home), 2nd place (work) and 3rd (social) places. Coworking spaces are presented as an example of space blurring within the knowledge economy, where digitalization, knowledge flows, flexibility and innovation play out at the micro level. Post-pandemic, they are likely to play a greater role as remote working remains a permanent feature. But how should we reassess their role in the advent of the 4th space, and what might the 4th space mean for how the role of proximity itself is (re)conceptualized in relation to coll
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14

الكليلي سميحة and مصطفى حاكمة. "Some Results of Unique Common Fixed Point Generalized In Extended b_2-metric spaces." Journal of Pure & Applied Sciences 21, no. 4 (2022): 35–39. http://dx.doi.org/10.51984/jopas.v21i4.2122.

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Recently, extended -metric space has been used as a generalization of both -metric and extended metric spaces. The object of this study is to evidence some findings of fixed point and common fixed point for mappings in the frame of extended -metric space, in addition, to generalizing some examples. The outcomes of this study are to generalize and extend some existing findings in previous literature.
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15

Sanyal, S., and R. Nag. "using an extended Fock space wavefunction." Journal of Physics G: Nuclear and Particle Physics 22, no. 2 (1996): L7—L12. http://dx.doi.org/10.1088/0954-3899/22/2/001.

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16

Healy, W. P. "Gauge transformations in extended phase space." Physica Scripta 48, no. 3 (1993): 269–76. http://dx.doi.org/10.1088/0031-8949/48/3/003.

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17

Rayman, Marc D., and Philip Varghese. "The deep space 1 extended mission." Acta Astronautica 48, no. 5-12 (2001): 693–705. http://dx.doi.org/10.1016/s0094-5765(01)00044-3.

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18

Pradhan, Parthapratim. "Thermodynamic products in extended phase-space." International Journal of Modern Physics D 26, no. 02 (2017): 1750010. http://dx.doi.org/10.1142/s0218271817500109.

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We have examined the thermodynamic properties for a variety of spherically symmetric charged-AdS black hole (BH) solutions, including the charged AdS BH surrounded by quintessence dark energy and charged AdS BH in [Formula: see text] gravity in extended phase-space. This framework involves treating the cosmological constant as thermodynamic variable (for example: thermodynamic pressure and thermodynamic volume). Then they should behave as an analog of Van-der-Waal (VdW) like systems. In the extended phase-space we have calculated the entropy product and thermodynamic volume product of all hori
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19

Sawhill, Bruce K. "Extended objects in curved space-time." Physics Letters B 203, no. 1-2 (1988): 69–73. http://dx.doi.org/10.1016/0370-2693(88)91572-9.

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20

Kehagias, A., J. Madore, J. Mourad, and G. Zoupanos. "Linear connections on extended space‐time." Journal of Mathematical Physics 36, no. 10 (1995): 5855–67. http://dx.doi.org/10.1063/1.531292.

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21

Weiss, Bernard, Mark Utell, and Paul Morrow. "Toxicological implications of extended space flights." Acta Astronautica 27 (July 1992): 239–42. http://dx.doi.org/10.1016/0094-5765(92)90203-u.

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22

Santiago-Mozos, Ricardo, Fernando Pérez-Cruz, and Antonio Artés-Rodríguez. "Extended Input Space Support Vector Machine." IEEE Transactions on Neural Networks 22, no. 1 (2011): 158–63. http://dx.doi.org/10.1109/tnn.2010.2090668.

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23

Irshad, Azeem, Muhammad Salman, Sajid Bashir, and Muhammad Bilal Malik. "Extended state space recursive least squares." Digital Signal Processing 49 (February 2016): 95–103. http://dx.doi.org/10.1016/j.dsp.2015.10.017.

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24

Rubinstein, Isaak, and Boris Zaltzman. "Extended space charge in concentration polarization." Advances in Colloid and Interface Science 159, no. 2 (2010): 117–29. http://dx.doi.org/10.1016/j.cis.2010.06.001.

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25

Vinokhodova, Alla, Vadim Gushin, Polina Kuznetsova, and Anna Yusupova. "Crew Interaction in Extended Space Missions." Aerospace 10, no. 8 (2023): 719. http://dx.doi.org/10.3390/aerospace10080719.

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Detection of the extent of common values in a cohesive space crew has become an important trend in modern space psychology. It is known from the works of Ch. Osgood that the semantic differential scale is a reliable way to obtain objective information on the emotional attitudes towards a topic of interest. Within the frame of the Russian space experiment “Interactions” on the International Space Station (ISS), a computerized survey, the Personal Self-Perception and Attitudes (PSPA), was developed for analyzing the subjects’ emotional attitudes toward their social environment. In the course of
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26

Ebnali, Mahdi, Phani Paladugu, Christian Miccile, et al. "Extended Reality Applications for Space Health." Aerospace Medicine and Human Performance 94, no. 3 (2023): 122–30. http://dx.doi.org/10.3357/amhp.6131.2023.

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INTRODUCTION: Spaceflight has detrimental effects on human health, imposing significant and unique risks to crewmembers due to physiological adaptations, exposure to physical and psychological stressors, and limited capabilities to provide medical care. Previous research has proposed and evaluated several strategies to support and mitigate the risks related to astronauts' health and medical exploration capabilities. Among these, extended reality (XR) technologies, including augmented reality (AR), virtual reality (VR), and mixed reality (MR) have increasingly been adopted for training, real-ti
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27

Ledia, Subashi, and Gjini Nertila. "Fractals in extended b-metric space." Journal of Progressive Research in Mathematics 12, no. 5 (2017): 2057–65. https://doi.org/10.5281/zenodo.3974830.

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Iterated function systems are method of constructing fractals, which are based on the mathematical foundations laid by Hutchinson[1] and Barnsley[2]. Formally an Iterated function systems is a finite set of ‘contraction mappings’, on a complete metric space X. In this paper we construct a fractal set of Iterated function systems, which in our case are a collection of mappings defined in an extended b-metric space, of compact subsets of the space. We will prove that the Hutchinson operator defined with the help of a finite family of ‘generalized F-contraction mappings’ o
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28

Burgin, M. S. "Topology in nonlinear extensions of hypernumbers." Discrete Dynamics in Nature and Society 2005, no. 2 (2005): 145–70. http://dx.doi.org/10.1155/ddns.2005.145.

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Modern theory of dynamical systems is mostly based on nonlinear differential equations and operations. At the same time, the theory of hypernumbers and extrafunctions, a novel approach in functional analysis, has been limited to linear systems. In this paper, nonlinear structures are introduced in spaces of real and complex hypernumbers by extending the concept of a hypernumber. In such a way, linear algebras of extended hypernumbers are built. A special topology of conical neighborhoods in these algebras is introduced and studied. It is proved that the space of all extended real hypernumbers
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29

BEER, G., and J. VANDERWERFF. "SEPARATION OF CONVEX SETS IN EXTENDED NORMED SPACES." Journal of the Australian Mathematical Society 99, no. 2 (2015): 145–65. http://dx.doi.org/10.1017/s144678871500004x.

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We give continuous separation theorems for convex sets in a real linear space equipped with a norm that can assume the value infinity. In such a space, it may be impossible to continuously strongly separate a point $p$ from a closed convex set not containing $p$, that is, closed convex sets need not be weakly closed. As a special case, separation in finite-dimensional extended normed spaces is considered at the outset.
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30

SELKO, Zamir, та Eriola SILA. "Some Fixed Point Results of (α,β,φ,δ) Contractions in Extended Cone b-Metric Spaces". Eurasia Proceedings of Science Technology Engineering and Mathematics 25 (25 грудня 2023): 67–75. http://dx.doi.org/10.55549/epstem.1403012.

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This paper investigates the existence and uniqueness of fixed points for a class of generalized contractive mappings defined on extended cone metric spaces. Subsequently, we define and explore (α, β, φ, δ)-contractions, a generalization of traditional contractions that allows for a more nuanced understanding of the contraction behavior in extended cone metric spaces. The extended metric space was defined for the first time in 2017, by Kamran et al. (2017). They replaced the constant in the triangle inequality of the metric with a two-variable function and explored various fixed point theorems.
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31

Laith K. Shaakir and Anas A. Hijab. "Some properties on extended eigenvalues and extended eigenvectors." Tikrit Journal of Pure Science 24, no. 6 (2019): 128–30. http://dx.doi.org/10.25130/tjps.v24i6.448.

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In this paper, the study extended eigenvalues and extended eigenvectors, and we will investigate the and give for some concepts properties and result important, also we will find the and on the space, so U is Unilateral shift operator and .
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32

Pashaie, F., N. Tanoomand-Khooshmehr, A. Rahimi, and L. Shahbaz. "On extended biharmonic hypersurfaces with three curvatures." Proyecciones (Antofagasta) 42, no. 1 (2023): 125–44. http://dx.doi.org/10.22199/issn.0717-6279-5443.

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The subject of harmonic and biharmonic submanifolds, with important role in mathematical physics and differential geometry, arises from the variation problems of ordinary mean curvature vector field. Generally, harmonic submanifolds are biharmonic, but not vice versa. Of course, many examples of biharmonic hypersurfaces are harmonic. A well-known conjecture of Bang-Yen Chen on Euclidean spaces says that every biharmonic submanifold is harmonic. Although the conjecture has not been proven (in general case), it has been affirmed in many cases, and this has led to its spread to various types of s
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33

Rathore, Shilpa, and Dr Abha Tenguria. "Contractive Mapping in Controlled Metric Space and Extended B-Metric Spaces." International Journal of Multidisciplinary Research and Growth Evaluation 6, no. 1 (2025): 1552–61. https://doi.org/10.54660/.ijmrge.2025.6.1.1552-1561.

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This paper discusses contractive mappings in controlled metric spaces and extended b-metric spaces. It starts with setting up the foundational definitions and properties of the mappings of contractive mappings and associated aspects emphasized in terms of their crucial role in ensuring convergence in iterative processes. Investigation is made in controlled metric spaces on how a controlled approach may increase the flexibility and applicability of contractive mappings, specifically in non-standard metrics. This paper extends the ideas developed here further to b-metric spaces where we discuss
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34

Fang, Zhong-Shan, and Ze-Hua Zhou. "Extended Cesáro operators from generally weighted Bloch spaces to Zygmund space." Journal of Mathematical Analysis and Applications 359, no. 2 (2009): 499–507. http://dx.doi.org/10.1016/j.jmaa.2009.06.013.

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35

Gregory, Jim S., and J. S. Griffith. "Winter concealment by subyearling rainbow trout: space size selection and reduced concealment under surface ice and in turbid water conditions." Canadian Journal of Zoology 74, no. 3 (1996): 451–55. http://dx.doi.org/10.1139/z96-052.

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The proportion of rainbow trout (Oncorhynchus mykiss) concealing themselves in simulated interstitial spaces was examined in the presence of surface ice, in turbid water, and in clear water. Tests were conducted in enclosures in a small Idaho stream with structures that provided five rectangular spaces varying in width and height, one circular space, and one triangular space. Space use was assessed each morning by trapping test fish inside the structures. Significantly more fish concealed themselves under clear water conditions than under either surface ice or turbid water conditions. Spaces n
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36

Shaakir1, Laith K., and Anas A. Hijab2. "Some properties on extended eigenvalues and extended eigenvectors." Tikrit Journal of Pure Science 24, no. 6 (2019): 128. http://dx.doi.org/10.25130/j.v24i6.898.

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In this paper, the study extended eigenvalues and extended eigenvectors, and we will investigate the and give for some concepts properties and result important, also we will find the and on the space, so U is Unilateral shift operator and .
 
 http://dx.doi.org/10.25130/tjps.24.2019.119
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37

Soni, Bhawna, and Dr Abha Tenguria. "Expansion mapping in controlled metric space and extended B-metric space." International Journal of Multidisciplinary Research and Growth Evaluation 6, no. 1 (2025): 854–59. https://doi.org/10.54660/.ijmrge.2025.6.1.854-859.

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This paper delves into the intricate study of expansion mappings within the frameworks of controlled metric spaces and extended B-metric spaces. Expansion mappings, known for their crucial role in fixed-point theory and iterative processes, are examined under the lens of these generalized metric spaces to uncover their distinct properties and extended applicability. Controlled metric spaces, which incorporate a dynamic control function to modulate the distance measurements, offer a refined approach to traditional metric space concepts. This flexibility allows for a more nuanced understanding o
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38

Chi, Shun Tang, and Hung Chi Song. "An Investigation on the Disobeyed Housing in Kaohsiung City." Applied Mechanics and Materials 71-78 (July 2011): 4903–6. http://dx.doi.org/10.4028/www.scientific.net/amm.71-78.4903.

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For a long time, Taiwan residents extended housing spaces in order to suffice their living demands and provide an ideal living space which they imaged. The rate of housing extended space in Taiwan is 65.9% [1]. For understanding the state of housing spaces extending phenomenon in Taiwan, the task of this study is investigating the formats and reasons of Kaohsiung housing extended spaces by the questionnaire and analysis. The results of this study indicated five of these findings are worth summarizing: ˙ The main sources of disobeyed spaces are the vacant by building coverage ratio, included th
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39

J., J., J. Aldring, S. John Borg, and D. Ajay. "Extended Refined Neutrosophic Vector Spaces, Subspaces and their Application." International Journal of Neutrosophic Science 26, no. 1 (2025): 40–54. https://doi.org/10.54216/ijns.260104.

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The objective of this paper is to present a perspective of Refined Neutrosophic Vector Space (r-NVS), Sub spaces and some basic operations on Refined Neutrosophic Sets such as Algebraic sum and Algebraic product. Further some basic propositions, lemma and examples are presented. Finally an application on Refined Neutrosophic Vector Space is presented in the field of e-Commerce buyer oriented product (Smart Phones) ranking to illustrate the advantage of representing r-NVS.
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40

Aull, C. E. "Some embeddings related to C*-embeddings." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 44, no. 1 (1988): 88–104. http://dx.doi.org/10.1017/s1446788700031396.

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AbstractA space S is R*-embedded (G*-embedded) in a space X if two disjoint regular closed sets (closure disjoint open sets) of S are contained in disjoint regular closed sets (extended to closure disjoint open sets) of X. A space S is R-extendable to a space X if any regular closed set of S can be extended to a regular closed set of X. It is shown that R*-embedding and G*-embedding are identical with C*-embedding for certain fairly general classes of Tychonoff spaces. Under certain conditions it is shown that R-extendability is related to z-embedding. Spaces in which the regular open sets are
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41

Panda, Sumati Kumari, Ravi P. Agarwal, and Erdal Karapínar. "Extended suprametric spaces and Stone-type theorem." AIMS Mathematics 8, no. 10 (2023): 23183–99. http://dx.doi.org/10.3934/math.20231179.

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<abstract><p>Extended suprametric spaces are defined, and the contraction principle is established using elementary properties of the greatest lower bound instead of the usual iteration procedure. Thereafter, some topological results and the Stone-type theorem are derived in terms of suprametric spaces. Also, we have shown that every suprametric space is metrizable. Further, we prove the existence of a solution of Ito-Doob type stochastic integral equations using our main fixed point theorem in extended suprametric spaces.</p></abstract>
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42

MEHMOOD, MAZHAR, MUHAMMAD BILAL, and ABDULLAH SHOAIB. "RATIONAL TYPE CONTRACTION MAPPING THEOREMS ON MULTIPLICATIVE G-METRIC SPACES." Journal of Science and Arts 22, no. 3 (2022): 605–18. http://dx.doi.org/10.46939/j.sci.arts-22.3-a07.

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In this article, we have extended the results of Y. U. Gaba by taking multiplicative G-metric space instead of G-metric space. In this way, we proved contraction mapping theorems on multiplicative, G-metric spaces using rational type contraction conditions for a single map. Later on, we extended our results in the settings of triplet maps. We have also given examples to support our results.
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43

Ledia, Subashi, and Gjini Nertila. "Some results on extended b-metric spaces and Pompeiu-Hausdorff metric." Journal of Progressive Research in Mathematics 12, no. 4 (2017): 2021–29. https://doi.org/10.5281/zenodo.4008522.

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In this paper we will show some new results about extended b- metric space. Given an extended b-metric space&nbsp; (X,d), we may define a new extended b- metric space with Pompeiu- Hausdorff metric <em>H</em> on the set <em>H(X) </em>of the collection of all nonempty compact subsets of <em>X. </em>We will show that if is a complete extended b- metric space then the Hausdorff extended b-metric space (H(X),H) is also complete.
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44

Khushbu and Zubair Khan. "Extended f-Vector Equilibrium Problem." International Journal of Computational Mathematics 2014 (December 3, 2014): 1–6. http://dx.doi.org/10.1155/2014/643230.

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We introduce and study extended f-vector equilibrium problem. By using KKM-Fan Theorem as basic tool, we prove existence theorem in the setting of Hausdorff topological vector space and reflexive Banach space. Some examples are also given.
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45

Serino, Andrea, Michela Bassolino, Alessandro Farnè, and Elisabetta Làdavas. "Extended Multisensory Space in Blind Cane Users." Psychological Science 18, no. 7 (2007): 642–48. http://dx.doi.org/10.1111/j.1467-9280.2007.01952.x.

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In the present work, we investigated whether an auditory peripersonal space exists around the hand and whether such a space might be extended by a brief tool-use experience or by long-term experience using a tool in everyday life. To this end, we studied audio-tactile integration in the space around the hand and in far space, in blind subjects who regularly used a cane to navigate and in sighted subjects, before and after brief training with the cane. In sighted subjects, auditory peripersonal space was limited to around the hand before tool use, then expanded after tool use, and contracted ba
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46

Banaszkiewicz, Marek, Marek Węgrzyn, Fatina Basmadji, and Mirosław Galicki. "Robust Trajectory Tracking Control of Space Manipulators in Extended Task Space." Pomiary Automatyka Robotyka 26, no. 4 (2022): 27–35. http://dx.doi.org/10.14313/par_246/27.

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This study provides a new class of controllers for freeflying space manipulators subject to unknown undesirable disturbing forces exerted on the end-effector. Based on suitably defined taskspace non-singular terminal sliding manifold and the Lyapunov stability theory, we derive a class of estimated extended transposed Jacobian controllers which seem to be effective in counteracting the unstructured disturbing forces. The numerical computations which are carried out for a space manipulator consisting of a spacecraft propelled by eight thrusters and holonomic manipulator of three revolute kinema
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Davidson, Ernest R., Joseph Vincent Ortiz, and Viktor N. Staroverov. "Complete-active-space extended Koopmans theorem method." Journal of Chemical Physics 155, no. 5 (2021): 051102. http://dx.doi.org/10.1063/5.0058080.

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Burov, A. A., and I. I. Kosenko. "Pendulum motions of extended lunar space elevator." Mechanics of Solids 49, no. 5 (2014): 506–17. http://dx.doi.org/10.3103/s0025654414050033.

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Luo, Feng, and Jean-Marc Schlenker. "Volume maximization and the extended hyperbolic space." Proceedings of the American Mathematical Society 140, no. 3 (2012): 1053–68. http://dx.doi.org/10.1090/s0002-9939-2011-10941-9.

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Chong, C. C., and A. Vourdas. "Quantum correlations and the extended phase space." Journal of Physics A: Mathematical and General 34, no. 46 (2001): 9849–60. http://dx.doi.org/10.1088/0305-4470/34/46/308.

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