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Metrization of soft metric spaces and its application to fixed point theory
AIMS MathematicsSoft set theory has attracted many researchers from several different branches. Sound theoretical improvements are accompanied with successful applications to practical solutions of daily life problems. However, some of the attempts of generalizing crisp
Gültekin Soylu , Müge Çerçi
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so-metrizable spaces and images of metric spaces [PDF]
Open Mathematics, 2021 Abstract so-metrizable spaces are a class of important generalized metric spaces between metric spaces and s n sn
Songlin Yang, Xun Ge
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Some remarks on the metrizability of $$\mathcal {F}$$-metric spaces [PDF]
Journal of Fixed Point Theory and Applications, 2020 In this manuscript, we claim that the newly introduced $\mathcal{F}$-metric space \cite[\, M.~Jleli and B.~Samet, On a new generalization of metric spaces, J. Fixed Point Theory Appl, 20(3) 2018]{JS1} is metrizable. Also, we deduce that the notions of convergence, Cauchy sequence, completeness due to Jleli and Samet for $\mathcal{F}$-metric spaces are ...
Sumit Som, Lakshmi Kanta Dey, Ashis Bera
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g-metrizable spaces and the images of semi-metric spaces [PDF]
Czechoslovak Mathematical Journal, 2007 In this paper, we prove that a space X is a g-metrizable space if and only if X is a weak-open, π and σ-image of a semi-metric space, if and only if X is a strong sequence-covering, quotient, π and mssc-image of a semi-metric space, where “semi-metric” can not be replaced by “metric”.
Ying Ge, Shou Lin
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On the metrizability of cone metric spaces
Topology and its Applications, 2011 AbstractWe have shown in this paper that a (complete) cone metric space (X,E,P,d) is indeed (completely) metrizable for a suitable metric D. Moreover, given any finite number of contractions f1,…,fn on the cone metric space (X,E,P,d), D can be defined in such a way that these functions become also contractions on (X,D).
Mohammad-Mehdi Khani +1 more
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Metrization of additive 𝜅-metric spaces [PDF]
Proceedings of the American Mathematical Society, 1987 We prove that an additive κ \kappa -metric space X X is metrizable if X X is one of the following: (1) X X is pseudocompact, (2) X X is a w M wM -space, (3) X X is a paracompact β \beta -space ...
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Metrizability of decomposition spaces of metric spaces
Topology and its Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the metrizability of TVS-cone metric spaces
Publications de l'Institut Mathematique, 2015 Metric spaces are cone metric spaces, and cone metric spaces are TVS-cone metric spaces. We prove that TVS-cone metric spaces are paracompact. A metrization theorem of TVS-cone metric spaces is obtained by a purely topological tools. We obtain that a homeomorphism f of a compact space is expansive if and only if f is TVS-cone expansive.
Kedian Li, Shou Lin, Ying Ge
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, 2019 Projective connections arise from equivalence classes of affine connections under the reparametrization of geodesics. They may also be viewed as quotient systems of the classical geodesic equation.
Manno, Gianni, Vollmer, Andreas
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