In this paper, we prove the existence of a random fixed point of by using pointwise asymptotically nonexpansive random operator and the stability resultsof two iterative schemes for random operator.

For a Tychonoff space $X$, we denote by $C_p(X)$ the space of all real-valued continuous functions on $X$ with the topology of pointwise convergence.  We study a functional characterization of the covering property of Hurewicz.

LetCp(X) be the space of all continuous real-valued functions on a space X , with the topology of pointwise convergence. In this paper we show thatCp(X) is not domain representable unless X is discrete for a class of spaces that includes all pseudo-radial spaces and all generalized ordered spaces. This is a first step toward our conjecture that if X is completely regular, then Cp(X) is domain r...

We study the nonlinear equation i∂tψ = (√ −∆+m2 −m ) ψ − (|x| ∗ |ψ|)ψ on R, which is known to describe the dynamics of pseudo-relativistic boson stars in the meanfield limit. For positive mass parameters, m > 0, we prove existence of travelling solitary waves, ψ(t, x) = eφv(x− vt), with speed |v| < 1, where c = 1 corresponds to the speed of light in our units. Due to the lack of Lorentz covaria...

We study an estimator of the mean function of a counting process based on \panel count" data which has been proposed by Sun and Kalbbeisch (1995). The setting for \panel count data" is one in which n independent subjects, each with a counting process with common mean function, are observed at several possibly diierent times during a study. Following a model proposed by Schick and Yu (1997), we ...

In this paper, the Urysohn and completely Hausdorff axioms in general topology are generalized to L-topological spaces so as to be compatible with pointwise metrics. Some properties and characterizations are also derived

In this work, we exploit the regression trees-based ranking model, which has been successfully applied in the domain of web-search ranking, to build appearance models for face alignment. The model is an ensemble of regression trees which is learned with gradient boosting. The MCT (Modified Census Transform) as well as its unbinarized version PCT (Pseudo Census Transform) are used as features du...

We present a suggestive finding regarding the loss of associative texture in the process of machine translation, using comparisons between (a) original and backtranslated texts, (b) reference and system translations, and (c) better and worse MT systems. We represent the amount of association in a text using word association profile – a distribution of pointwise mutual information between all pa...

the aim of this paper is to generalize the‎‎notion of pseudo-almost valuation domains to arbitrary‎ ‎commutative rings‎. ‎it is shown that the classes of chained rings‎ ‎and pseudo-valuation rings are properly contained in the class of‎ ‎pseudo-almost valuation rings; also the class of pseudo-almost‎ ‎valuation rings is properly contained in the class of quasi-local‎ ‎rings with linearly ordere...

Abstract: This paper develops some deeper consequences of an extended definition, proposed previously by the author, of pseudo-differential operators that are of type 1, 1 in Hörmander’s sense. Thus, it contributes to the long-standing problem of creating a systematic theory of such operators. It is shown that type 1, 1-operators are defined and continuous on the full space of temperate distrib...