Results 1 to 10 of about 20 (20)

Compact mappings and s-mappings at subsets

Open Mathematics, 2022
Almost ss-mappings and almost compact mappings have been introduced and studied. In this article, we continue to research some questions related to the almost s-images (resp., almost compact images) of metric spaces.
Lin Shou, Ling Xuewei, He Wei
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so-metrizable spaces and images of metric spaces

Open Mathematics, 2021
so-metrizable spaces are a class of important generalized metric spaces between metric spaces and snsn-metrizable spaces where a space is called an so-metrizable space if it has a σ\sigma -locally finite so-network.
Yang Songlin, Ge Xun
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Ultradiversification of Diversities

Analysis and Geometry in Metric Spaces, 2020
In this paper, using the idea of ultrametrization of metric spaces we introduce ultradiversification of diversities. We show that every diversity has an ultradiversification which is the greatest nonexpansive ultra-diversity image of it.
Haghmaram Pouya, Nourouzi Kourosh
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Proof of a conjecture of Galvin

Forum of Mathematics, Pi, 2020
We prove that if the set of unordered pairs of real numbers is coloured by finitely many colours, there is a set of reals homeomorphic to the rationals whose pairs have at most two colours.
Dilip Raghavan, Stevo Todorcevic
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Versatile asymmetrical tight extensions

Topological Algebra and its Applications, 2017
We show that the image of a q-hyperconvex quasi-metric space under a retraction is q-hyperconvex. Furthermore, we establish that quasi-tightness and quasi-essentiality of an extension of a T0-quasi-metric space are equivalent.
Otafudu Olivier Olela, Mushaandja Zechariah   +1 more
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Convergence of modified S-iteration process for two asymptotically quasi-nonexpansive type mappings in CAT(0) spaces

Demonstratio Mathematica, 2016
The purpose of this paper is to study convergence of a newly defined modified S-iteration process to a common fixed point of two asymptotically quasi-nonexpansive type mappings in the setting of CAT(0) space. We give a suffcient condition for convergence
Saluja G. S.
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Locally n-Connected Compacta and UVn-Maps

Analysis and Geometry in Metric Spaces, 2015
We provide a machinery for transferring some properties of metrizable ANR-spaces to metrizable LCn-spaces. As a result, we show that for completely metrizable spaces the properties ALCn, LCn and WLCn coincide to each other.
Valov V.
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Echeloned Spaces

Forum of Mathematics, Sigma
We introduce the notion of echeloned spaces – an order-theoretic abstraction of metric spaces. The first step is to characterize metrizable echeloned spaces. It turns out that morphisms between metrizable echeloned spaces are uniformly continuous or have
Maxime Gheysens, Bojana Pavlica, Christian Pech, Maja Pech, Friedrich Martin Schneider   +4 more
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ℐ-sn-metrizable spaces and the images of semi-metric spaces

Open Mathematics
The theory of generalized metric spaces is an active topic in general topology. In this article, we utilize the concepts of ideal convergence and networks to discuss the metrization problem and the mutual classification problem between spaces and ...
Zhou Xiangeng, Liu Fang, Liu Li, Lin Shou   +3 more
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Existence and convergence of fixed points for mappings of asymptotically nonexpansive type in uniformly convex W-hyperbolic spaces

Fixed Point Theory and Applications, 2011
Uniformly convex W-hyperbolic spaces with monotone modulus of uniform convexity are a natural generalization of both uniformly convexnormed spaces and CAT(0) spaces.
Cui Yunan, Zhang Jingxin
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