Results 31 to 40 of about 243,988 (164)
Compact Hölder retractions and nearest point maps [PDF]
Advances in Mathematics, 2022 In this paper, two main results concerning uniformly continuous retractions are proved. First, an $\alpha$-H\"older retraction from any separable Banach space onto a compact convex subset whose closed linear span is the whole space is constructed for ...
R. Medina
semanticscholar +1 more source
Genericity of historic behavior for maps and flows [PDF]
Nonlinearity, 2021 We establish a sufficient condition for a continuous map, acting on a compact metric space, to have a Baire residual set of points exhibiting historic behavior (also known as irregular points).
M. Carvalho, P. Varandas
semanticscholar +1 more source
Generalized Virtually Stable Maps and Their Associated Sequences
Journal of Function Spaces and Applications, 2013 We extend the concept of virtual stability of continuous self-maps to arbitrary selfmaps and investigate the structure of sequences associated with uniformly virtually stable selfmaps.
P. Chaoha +2 more
doaj +1 more source
Ninety years of change on a low wooded island, Great Barrier Reef [PDF]
Royal Society Open Science, 2019 We assess 90 years of change on a Low Wooded Island (Low Isles, Great Barrier Reef), employing drones and topographic profiling to accurately survey ramparts, mangroves, the reef flat and the sand cay.
S. M. Hamylton +3 more
doaj +1 more source
Stable Convergence Theorems for Products of Uniformly Continuous Mappings in Metric Spaces [PDF]
Axioms, 2021 We study the behavior of inexact products of uniformly continuous self-mappings of a complete metric space that is uniformly continuous and bounded on bounded sets. It is shown that previously established convergence theorems for products of non-expansive mappings continue to hold even under the presence of computational errors.
openaire +2 more sources
Demonstratio Mathematica, 2014 We prove that if a superposition operator maps a subset of the space of all metric-vector-space-valued-functions of bounded n-dimensional Φ-variation into another such space, and is uniformly continuous, then the generating function of the operator is an
Bracamonte Mireya +3 more
doaj +1 more source
Existence ofixed points for pointwise eventually asymptotically nonexpansive mappings
Applied General Topology, 2019 Kirk introduced the notion of pointwise eventually asymptotically non-expansive mappings and proved that uniformly convex Banach spaces have the fixed point property for pointwise eventually asymptotically non expansive maps.
M. Radhakrishnan, S. Rajesh
doaj +1 more source
Totally bounded remainders of uniform spaces and samuel compactification of uniformly continuous mappings [PDF]
AIP Conference Proceedings, 2021 In this work we study totally bounded remainders of uniform spaces and Samuel compactification of uniformly continuous mappings.
Kanetov, B. E. +2 more
openaire +2 more sources
Uniform Convergence and Transitive Subsets
Discrete Dynamics in Nature and Society, 2012 Let (X,d) be a metric space and a sequence of continuous maps fn:X→X that converges uniformly to a map f. We investigate the transitive subsets of fn whether they can be inherited by f or not. We give sufficient conditions such that the limit map f has a
Lei Liu, Shuli Zhao, Hongliang Liang
doaj +1 more source
Demonstratio Mathematica, 2014 In this paper, we consider the Nemytskii operator (Hf)(t) = h(t, f(t)), generated by a given function h. It is shown that if H is globally Lipschitzian and maps the space of functions of bounded (p,2,α)-variation (with respect to a weight function α ...
Aziz Wadie
doaj +1 more source