Results 11 to 20 of about 37,696 (254)
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]
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]
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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On the Convergence of Multistep Iteration for Uniformly Continuous Φ‐Hemicontractive Mappings [PDF]
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]
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 THE CONTINUITY OF ENTROPY FOR NON-UNIFORMLY EXPANDING MAPS [PDF]
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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On uniformly continuous maps between function spaces [PDF]
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]
Precompact 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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Three Types of Distributional Chaos for a Sequence of Uniformly Convergent Continuous Maps
Let h
Risong Li +3 more
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Totally bounded remainders of uniform spaces and samuel compactification of uniformly continuous mappings [PDF]
In this work we study totally bounded remainders of uniform spaces and Samuel compactification of uniformly continuous mappings.
Kanetov, B. E. +2 more
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