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��-metric spaces: A generalization
2011In this paper, using a more generalized inequality instead of triangle inequality, the notion of -metric space is introduced. Some important properties of induced topology by such spaces are presented. Also, Banach and Caristi type fixed point in such spaces are proved.
Khojasteh, Farshid +2 more
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GENERALIZED MORREY SPACES OVER NONHOMOGENEOUS METRIC MEASURE SPACES
Journal of the Australian Mathematical Society, 2016Let $({\mathcal{X}},d,\unicode[STIX]{x1D707})$ be a nonhomogeneous metric measure space satisfying the so-called upper doubling and the geometric doubling conditions. In this paper, the authors give the natural definition of the generalized Morrey spaces on $({\mathcal{X}},d,\unicode[STIX]{x1D707})$, and then investigate some properties of the maximal ...
Lu, Guanghui, Tao, Shuangping
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Subspaces of a Generalized Metric Space
Canadian Journal of Mathematics, 1959In a paper published in 1956, Rund (4) developed the differential geometry of a hypersurface of n— 1 dimensions imbedded in a Finsler space of n dimensions, considered as locally Minkowskian.The purpose of the present paper is to provide an extension of the results of (4) and thus develop a theory for the case of m-dimensional subspaces imbedded in a ...
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Generalized metric spaces are paracompact
Mathematical Proceedings of the Cambridge Philosophical Society, 1975A generalized metric space is a triple (X, d, G), where X is a set, G an ordered Abelian group and d: X x X → G is a function which satisfies the metric axioms. The generalized metric d defines a topology on X in the same way as an ordinary metric does for a metric space.
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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Cosmology with the Laser Interferometer Space Antenna
Living Reviews in Relativity, 2023Germano Nardini
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Responsive materials architected in space and time
Nature Reviews Materials, 2022Xiaoxing Xia +2 more
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Generalization in Metric Space
General Scientific Researches, 2016Benard Okelo +3 more
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