Results 71 to 80 of about 9,051,507 (186)
Characterizations of vector-valued weakly almost periodic functions
We characterize the weak almost periodicity of a vector-valued, bounded, continuous function. We show that if the range of the function is relatively weakly compact, then the relative weak compactness of its right orbit is equivalent to that of its left ...
Chuanyi Zhang
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ON THE COMPLETENESS PROPERTIES OF THE C-COMPACT-OPEN TOPOLOGY ON C(X)
This is a study of the completeness properties of the space Crc(X) of continuous real-valued functions on a Tychonov space X, where the function space has the C-compact-open topology.
Alexander V. Osipov
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Almost ps-continuous functions
The purpose of this paper is to introduce a new class of functions called almost ps-continuous function by using ps-open sets in topological spaces. Some properties and characterizations of this function are given.
Alias Barakat Khalaf, Baravan A. Asaad
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An almost continuous function 𝑓: 𝑆ⁿ→𝑆^{𝑚} which commutes with the antipodal map
It is shown that if n , m ⩾ 1 n,m \geqslant 1 are integers, then there exists an almost continuous function from the n n -sphere S n ...
Kenneth R. Kellum
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An application of KKM-map principle
The following theorem is proved and several fixed point theorems and coincidence theorems are derived as corollaries. Let C be a nonempty convex subset of a normed linear space X, f:C→X a continuous function, g:C→C continuous, onto and almost quasi ...
A. Carbone
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INCLUSION RELATIONS CONCERNING WEAKLY ALMOST PERIODIC FUNCTIONS AND FUNCTIONS VANISHING AT INFINITY [PDF]
We consider the space of weakly almost periodic functions on a transformation semigroup (S, X , ?) and show that if X is a locally compact noncompact uniform space, and ?
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On Fréchet theorem in the set of measure preserving functions over the unit interval
In this paper, we study the Fréchet theorem in the set of measure preserving functions over the unit interval and show that any measure preserving function on [0,1] can be approximated by a sequence of measure preserving piecewise linear continuous ...
So-Hsiang Chou, Truc T. Nguyen
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새로운 Almost feebly연속함수를 도입하여 이 함수들이 갖는 몇가지 성질을 알아 보았다.A new function called almost feebly continuous function has been introduced and some properties of these functions have been obtained.A new function called almost feebly continuous function has been ...
S.N. Maheshwari, Jain,P.C., Chae,Gyu-Ihn
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Polynomial asymptotic stability of damped stochastic differential equations
The paper studies the polynomial convergence of solutions of a scalar nonlinear It\^{o} stochastic differential equation\[dX(t) = -f(X(t))\,dt + \sigma(t)\,dB(t)\] where it is known, {\it a priori}, that $\lim_{t\rightarrow\infty} X(t)=0$, a.s.
John Appleby, D. Mackey
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Some measurability and continuity properties of arbitrary real functions
Given an arbitrary real function f , the set D_f of all points where f admits approximate limit is the maximal (with respect to the relation of inclusion except for a nullset) measurable subset of the real line having the properties that the restriction ...
Vittorino Pata, Alfonso Villani
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