We prove strong convergence theorem for infinite family of uniformly L−Lipschitzian total quasi-φ-asymptotically nonexpansive multi-valued mappings using a generalized f−projection operator in a real uniformly convex and uniformly smooth Banach space. The result presented in this paper improve and unify important recent results announced by many authors.

In this paper, we consider the weak and strong convergence of implicit iteration process to a common fixed point of a finite family of nonself Ii-asymptotically quasi-nonexpansive mappings. Our results of this paper improve and extend the corresponding results of Shazad [8], Temir [5] and Gul [J. Math. Anal. Appl. 329(2007), 759-765]. Mathematics Subject Classification: 47H09, 47J25

Tsai and Chan (2003) has recently introduced the Continuous-time AutoRegressive Fractionally Integrated Moving-Average (CARFIMA) models useful for studying long-memory data. We consider the estimation of the CARFIMA models with discrete-time data by maximizing the Whittle likelihood. We show that the quasimaximum likelihood estimator is asymptotically normal and efficient. Finite-sample propert...

In a recent work, Doerr and Fouz [Asymptotically Optimal Randomized Rumor Spreading, in ArXiv] present a new quasi-randomPUSH algorithm for the rumor spreading problem (also known as gossip spreading or message propagation problem). Their hybrid protocol outperforms all known PUSH protocols. In this work, we add to the hybrid protocol a direction-reversing element. We show that this direction-r...

The one-dimensional electron gas exhibits spin-charge separation and power-law spectral responses to many experimentally relevant probes. Ordering in a quasi-one-dimensional system is necessarily associated with a dimensional crossover, at which sharp quasiparticle peaks, with small spectral weight, emerge from the incoherent background. Using methods of Abelian bosonization, we derive asymptot...

Quasi-complementary sequence sets (QCSSs) can be seen as a generalized version of complete complementary codes (CCCs), which enables multicarrier communication systems to support more users. The contribution this work is two-fold. First, we propose systematic construction Florentine rectangles. Secondly, several CCCs and QCSSs, using QCSSs are constructed over <inline-formula xmlns:mml="http://...

This paper investigates the asymptotic properties of quasi-maximum likelihood estimators for spatial dynamic panel data with …xed e¤ects when both the number of individuals n and the number of time periods T are large. We consider the case where T is asymptotically large relative to n, the case where T is asymptotically proportional to n, and the case where n is asymptotically large relative to...