we study the convergence of the modified noor iterative scheme for the class of asymptotically pseudocontractive mappings in the intermediate sense which is not necessarily lipschitzian. our results improves, extends and unifies the results of schu [23] and qin {it et al.} [25].

the purpose of this paper is to study and give the necessary andsufficient condition of strong convergence of the multi-step iterative algorithmwith errors for a finite family of generalized asymptotically quasi-nonexpansivemappings to converge to common fixed points in banach spaces. our resultsextend and improve some recent results in the literature (see, e.g. [2, 3, 5, 6, 7, 8,11, 14, 19]).

in this paper we consider a petrovsky viscoelastic inverse source problem with memory term in the boundary condition. we obtain sufficient conditions on relaxation function and initial data for which the solutions of problem are asymptotically stable when the integral overdetermination tends to zero as time goes to infinity.

It is often desirable to combine information collected in compatible multiple surveys in order to improve estimation and meet consistency requirements. Zieschang (1990) and Renssen & Nieuwenbroek (1997) suggested to this end the use of the generalized regression estimator with enlarged number of auxiliary variables. Unfortunately, adjusted weights associated with their approach can be negative....

Implicit solution methods are important in applications modeled by PDEs with disparate temporal and spatial scales. Because such applications require high resolution with reasonable turnaround, parallelization is essential. The pseudo-transient matrix-free Newton-Krylov-Schwarz (ΨNKS) algorithmic framework is presented as a widely applicable answer. This article shows that, for the classical pr...

The so-called Common Principal Components (CPC) Model, in which the covariance matrices Σi of m populations are assumed to have identical eigenvectors, was introduced by Flury (1984), who develops Gaussian parametric inference methods for this model (Gaussian maximum likelihood estimation and Gaussian likelihood ratio testing). A key result in that context is the joint asymptotic normality of t...

We consider the perturbation of elliptic pseudo-differential operators P (x,D) with more than square integrable Green’s functions by random, rapidly varying, sufficiently mixing, potentials of the form q( ε , ω). We analyze the source and spectral problems associated to such operators and show that the rescaled difference between the perturbed and unperturbed solutions may be written asymptotic...

It has recently been realized that five dimensional theories can be generated dynamically from asymptotically free, QCD-like four dimensional dynamics via “deconstruction.” In this paper we generalize this construction to six dimensional theories using a moose mesh with alternating weak and strong gauge groups. A new ingredient is the appearance of self couplings between the higher dimensional ...

In this paper we derive (weak) consistency and the asymptotic distribution of pseudo maximum likelihood estimates for multiple frequency I(1) processes. By multiple frequency I(1) processes we denote processes with unit roots at arbitrary points on the unit circle with the integration orders corresponding to these unit roots all equal to 1. The parameters corresponding to the cointegrating spac...

The Generalized Assignment Problem (GAP) is the problem of finding the minimal cost assignment of jobs to machines such that each job is assigned to exactly one machine, subject to capacity restrictions on the machines. We propose a class of greedy algorithms for the GAP. A family of weight functions is defined to measure a pseudo-cost of assigning a job to a machine. This weight function in tu...