We prove some common fixed-point theorems for the ordered g-weak contractions in cone rectangular metric spaces without assuming the normality of cone. Our results generalize some recent results from cone metric and cone rectangular metric spaces into ordered cone rectangular metric spaces. Examples are provided which illustrate the results.

This paper considers a class of semiparametric models being the sum of a nonparametric trend function g and a FARIMA-GARCH error process. Estimation of g( ), the th derivative of g, by local polynomial tting is investigated. The focus is on the derivation of the asymptotic normality of ĝ( ). At rst a central limit theorem based on martingale theory is developed and asymptotic normality of the s...

Zhang, Lei, Catherine M. Wheatley, Stephen M. Richards, Eugene J. Barrett, Michael G. Clark, and Stephen Rattigan. TNFacutely inhibits vascular effects of physiological but not high insulin or contraction. Am J Physiol Endocrinol Metab 285: E654–E660, 2003. First published May 20, 2003; 10.1152/ajpendo.00119.2003.—TNFis elevated in many states of insulin resistance, and acutely administered TNF...

The effects of an opioid agonist, [d-Ala2]methionine enkephalinamide (DAME), administered into the rostral ventrolateral medulla (rVLM) or caudal ventrolateral medulla (cVLM) on cardiovascular responses to isometric muscle contraction were determined in anesthetized rats. A 30-s contraction evoked by tibial nerve stimulation increased mean arterial pressure (MAP) and heart rate (HR) by 34 ± 6 m...

In this paper, we give a generalization of Hicks type contractions and Golet type contractions in intuitionistic fuzzy metric spaces. We prove some fixed point theorems for this new type contraction mappings on intuitionistic fuzzy metric spaces. These results generalize some known results in fuzzy metric spaces and probabilistic metric spaces. AMS subject classifications: 54A40, 54E50, 54D35

Let G be a connected semisimple Lie group with at least one absolutely simple factor S such that R-rank(S) ≥ 2 and let Γ be a uniform lattice in G. (a) If CH holds, then Γ has a unique asymptotic cone up to homeomorphism. (b) If CH fails, then Γ has 2 ω asymptotic cones up to homeomorphism.

In this article, the outlier production mechanism of conventional Multiple Signal Classification (MUSIC) and g-MUSIC Direction-of-Arrival (DoA) estimation technique is investigated using tools from Random Matrix Theory (RMT). A general Central Limit Theorem (CLT) derived that allows to analyze asymptotic stochastic behavior eigenvector-based cost functions in regime where number snapshots anten...

Let Fk be the free group of finite rank k ≥ 2 and let α be the abelianization map from Fk onto Z . We prove that if S ⊆ Z is invariant under the natural action of SL(k,Z) then the asymptotic density of S in Z and the asymptotic density of its full preimage α−1(S) in Fk are equal. This implies, in particular, that for every integer t ≥ 1, the asymptotic density of the set of elements in Fk that ...

Let Fk be the free group of finite rank k ≥ 2 and let α be the abelianization map from Fk onto Z . We prove that if S ⊆ Z is invariant under the natural action of SL(k,Z) then the asymptotic density of S in Z and the asymptotic density of its full preimage α−1(S) in Fk are equal. This implies, in particular, that for every integer t ≥ 1, the asymptotic density of the set of elements in Fk that ...

We consider a Feynman amplitude A G (s k) written in terms of its external invariants s k (including particle masses), and an asymptotic regime defined by s k → λ a k s k , λ → ∞, where a k may be positive, negative, or zero (ultraviolet / infrared behaviours). A G (s k) as a function of λ has an asymptotic expansion of the form,