نتایج جستجو برای: uniformly continuous

تعداد نتایج: 292414  

Journal: :Proceedings of the American Mathematical Society 1996

Journal: :Mathematical and Computer Modelling 2011
Jian-zhong Xiao Xing-Hua Zhu

Keywords: Set-valued mapping Chebyshev center Uniformly convex Locally uniformly convex Chebyshev fixed point a b s t r a c t The existence of a continuous Chebyshev selection for a Hausdorff continuous set-valued mapping is studied in a Banach space with some uniform convexity. As applications, some existence results of Chebyshev fixed point for condensing set-valued mappings are given, and th...

2012
Pavithra Prabhakar Jun Liu Richard M. Murray

In this paper, we investigate pre-orders for reasoning about input-to-state stability properties of hybrid systems. We define the notions of uniformly continuous input simulations and bisimulations, which extend the notions in previous work to include inputs. We show that uniformly continuous input bisimulations preserve incremental input-to-state stability of hybrid systems, and thus provide a...

2010
ERRETT BISHOP

Theorem. If fo is a continuous function on a compact set C without interior and with connected complement of the complex plane, and if fi, • • ■ i fn are continuous functions on a compact totally disconnected subset E of C, then there exists a sequence {pi} of polynomials such that pi-^fo uniformly on C as i—* , and pim—*fk uniformly on E as i—>», for lslk^n, where pi[k] is the kth derivativ...

2008
PETR HÁJEK

We prove that a Lipschitz (or uniformly continuous) mapping f : X → Y can be approximated by smooth Lipschitz (resp. uniformly continuous) mapping, if X is a separable Banach space admitting a smooth Lipschitz bump and either X or Y is a C(K) space (resp. super-reflexive space). As a corollary we obtain also smooth approximation of C1-smooth mappings together with their first derivatives.

2010
Jonas Gillberg Lennart Ljung

This paper concerns the subject of identi cation of continuous-time output error (OE) models based on non-uniformly sampled output data. The exact method for doing this is well known in the time-domain, where the continuous-time system is discretized, simulated and the result is tted in a mean square sense to measured data. The material presented here is based on a method proposed in a sister p...

2001
Krzysztof Ciesielski Janusz Pawlikowski

We show that the property (P) for every Darboux function g:R → R there exists a continuous nowhere constant function f :R → R such that f + g is Darboux follows from the following two propositions: (A) for every subset S of R of cardinality c there exists a uniformly continuous function f :R → [0, 1] such that f [S] = [0, 1], (B) for an arbitrary function h:R → R whose image h[R] contains a non...

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