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Non-uniformly continuous nearest point maps [PDF]
Proceedings of the American Mathematical SocietyWe construct a Banach space satisfying that the nearest point map (also called proximity mapping or metric projection) onto any non-singleton compact and convex subset is continuous but not uniformly continuous. The space we construct is locally uniformly convex, which ensures the continuity of all these nearest point maps.
Medina Sabino, Rubén, Quilis, Andrés
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Қарағанды университетінің хабаршысы. Математика сериясы, 2021 Recently a new direction of uniform topology called the uniform topology of uniformly continuous mappings has begun to develop intensively. This direction is devoted, first of all, to the extension to uniformly continuous mappings of the basic concepts ...
B.E. Kanetov, A.M. Baidzhuranova
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Continuous and Uniform Continuous Mappings on a Standard Fuzzy Metric Spaces [PDF]
Engineering and Technology Journal, 2014 In this paper we introduced the definition of standard fuzzy metric spaces then we discussed several properties of this space after some illustrative examples are given. Then we defined a continuous mapping from standard fuzzy metric space (X,M_X,*) into
Jehad R.Kider, Zeina A.Hussain
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The extension of equi-uniformly continuous families of mappings [PDF]
Pacific Journal of Mathematics, 1985 A subset S of a uniform space X is strongly U-embedded in X if every equi-uniformly continuous real-valued family of functions on S extends to an equi-uniformly continuous real-valued family on X. The relation between strong U-embedding and other uniform extension properties is discussed.
Levy, Ronnie, Rice, Michael D.
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Uniformly exponential growth and mapping class groups of surfaces [PDF]
, 2007 We show that the mapping class group (as well as closely related groups) of an orientable surface with finitely generated fundamental group has uniformly exponential growth.
Javier Aramayona +11 more
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On the Convergence of Multistep Iteration for Uniformly Continuous Φ‐Hemicontractive Mappings [PDF]
Abstract and Applied Analysis, 2012 It is shown that the convergence of the multistep iterative process with errors is obtained for uniformly continuous Φ‐hemicontractive mappings in real Banach spaces. We also revise the problems of C. E. Chidume and C. O. Chidume (2005).
Xue, Zhiqun, Rafiq, Arif, Zhou, Haiyun
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Uniformly continuous composition operators in the space of bounded Φ-variation functions in the Schramm sense [PDF]
Opuscula Mathematica, 2012 We prove that any uniformly continuous Nemytskii composition operator in the space of functions of bounded generalized \(\Phi\)-variation in the Schramm sense is affine. A composition operator is locally defined.
Tomás Ereú +3 more
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On uniformly continuous maps between function spaces [PDF]
Fundamenta Mathematicae, 2019 In this paper we develop a technique of constructing uni- formly continuous maps between function spaces Cp(X) endowed with the pointwise topology. We prove that if a space X is compact metrizable and strongly countable-dimensional, then there exists a uniformly contin- uous surjection from Cp([0,1]) onto Cp(X).
Krupski, Mikołaj +2 more
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About uniformly Menger spaces [PDF]
Mathematica MoravicaPrecompact type properties - precompactness (=totally precompactness), s-precompactness, pre-Lindelöfness, (=ℵ0-boundedness), t -boundedness - belong to the basic important invariants studied in the uniform topology.
Kanetov Bekbolot +2 more
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ON THE CONTINUITY OF ENTROPY FOR NON-UNIFORMLY EXPANDING MAPS [PDF]
EQUADIFF 2003, 2005 It is a difficult problem to verify the existence of these measures for general Dynamical Systems. For Axiom A diffeomorphisms and flows, and uniformly expanding endomorphisms classical results by Sinai, Ruelle and Bowen prove the existence of SRB measures. In this context the continuous variation of the SRB entropy is known.
JOSÉ F. ALVES +2 more
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