New aspects concerning IFSs consisting of continuous functions satisfying Banach’s orbital condition
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-019-0700-4
Abstract: In the paper “Iterated function systems consisting of continuous functions satisfying Banach’s orbital condition” (An. Univ. Timişoara, Ser. Mat.-Inform., in print), Miculescu, Mihail and Savu introduced iterated function systems consisting of continuous functions satisfying Banach’s… read more here.
Keywords: satisfying banach; continuous functions; consisting continuous; functions satisfying ... See more keywords
Orthogonally additive polynomials on Banach function algebras
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.11.010
Abstract: Abstract For a Banach function algebra A, we consider the problem of representing a continuous d-homogeneous polynomial P : A → X , where X is an arbitrary Banach space, that satisfies the property P… read more here.
Keywords: function algebras; continuous functions; function; banach function ... See more keywords
Ultrafilter-completeness on zero-sets of uniformly continuous functions
Sign Up to like & getrecommendations! Published in 2019 at "Topology and its Applications"
DOI: 10.1016/j.topol.2018.11.008
Abstract: Abstract The various types of ultrafilter-completeness on zero-sets of uniformly continuous functions are introduced, their properties are studied and characterizations in the category Z U n i f are given. read more here.
Keywords: continuous functions; uniformly continuous; ultrafilter completeness; sets uniformly ... See more keywords
A generalization of a Baire theorem concerning barely continuous functions
Sign Up to like & getrecommendations! Published in 2019 at "Topology and its Applications"
DOI: 10.1016/j.topol.2019.03.016
Abstract: Abstract We prove that if X is a paracompact space, Y is a metric space and f : X → Y is a functionally fragmented map, then (i) f is σ-discrete and functionally F σ… read more here.
Keywords: continuous functions; baire; baire theorem; barely continuous ... See more keywords
On certain versions of straightness
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DOI: 10.1016/j.topol.2020.107369
Abstract: Abstract Straight spaces are metric spaces X having the property that for a cover X = A ∪ B by two closed sets, any continuous function f : X → R is uniformly continuous provided… read more here.
Keywords: versions straightness; continuous functions; uniformly continuous; pre straight ... See more keywords
Comparison of families of S-continuous functions
Sign Up to like & getrecommendations! Published in 2021 at "Topology and its Applications"
DOI: 10.1016/j.topol.2021.107778
Abstract: Abstract Some sequences S of measurable sets tending to zero generate density-like topologies T S on the real line finer than the natural topology T n a t . For a topology T S we… read more here.
Keywords: topology; comparison families; families continuous; continuous functions ... See more keywords
SOME REMARKS ON FRACTIONAL INTEGRAL OF ONE-DIMENSIONAL CONTINUOUS FUNCTIONS
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DOI: 10.1142/s0218348x2050005x
Abstract: In this paper, we make research on Katugampola and Hadamard fractional integral of one-dimensional continuous functions on [0, 1]. We proved that Katugampola fractional integral of bounded and cont... read more here.
Keywords: dimensional continuous; continuous functions; integral one; remarks fractional ... See more keywords
Upper and lower absolutely continuous functions with applications to discontinuous differential equations
Sign Up to like & getrecommendations! Published in 2017 at "Electronic Journal of Qualitative Theory of Differential Equations"
DOI: 10.14232/ejqtde.2017.1.83
Abstract: We use upper and lower absolutely continuous functions as subsolutions and supersolutions to discontinuous ordinary differential equations. We present sufficient conditions for the existence of extremal solutions to initial value problems. Due to a new… read more here.
Keywords: upper lower; continuous functions; equations upper; differential equations ... See more keywords
Beyond cauchy and quasi-Cauchy sequences
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DOI: 10.2298/fil1803035c
Abstract: In this paper, we investigate the concepts of downward continuity and upward continuity. A real valued function on a subset E of R, the set of real numbers, is downward continuous if it preserves downward… read more here.
Keywords: continuous functions; cauchy sequences; cauchy quasi; quasi cauchy ... See more keywords
Uniform reconstruction of continuous functions with the RAFU method
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DOI: 10.4995/agt.2017.7263
Abstract: The RAFU (radical functions ) method can be used to obtain the uniform reconstruction of a continuous function from its values at some of the points of partitions of a closed interval . In this… read more here.
Keywords: reconstruction; reconstruction continuous; functions rafu; continuous functions ... See more keywords