In this paper, we classify all generalized quadrangles weakly embedded of degree 2 in projective space. More exactly, given a (possibly infinite) generalized quadrangle Γ = (P,L, I ) and a map π from P (respectively L) to the set of points (respectively lines) of a projective space PG(V ), V a vector space over some skew field (not necessarily finite-dimensional), such that: (i) π is injective ...

Agarwal, R. P. , El-Gebeily, M. A. , O'Regan, D. , Generalized contractions in partially ordered metric space. Appl. Anal. 87, 109-116 (2008). Alber, YaI, Guerre-Delabriere, S. , Principles of weakly contractive maps in Hilber spaces. Oper Theory. Adv. Appl. 98, 7-22 (1997). Babu, G. V. R. and Shaik Ismail, A fixed point theorem by altering distances, Bull Cal. Math Soc, 93(5), 393-398, (2...

In this paper, we shall establish two fixed point theorems by following the concept of [9, 21] and using weak contractions of the integral type. Our results are generalizations of the classical Banach’s fixed point theorem [1, 2, 3, 4, 5, 7, 25] as well as extensions of some other results of Berinde [4, 5, 6, 7], Berinde and Berinde [8], Branciari [9], Chatterjea [10], Kannan [16] and Zamfiresc...

We discuss the axioms for vertex algebras and their modules, using formal calculus. Following certain standard treatments, we take the Jacobi identity as our main axiom and we recall weak commutativity and weak associativity. We derive a third, companion property that we call “weak skew-associativity.” This third property in some sense completes an S3-symmetry of the axioms, which is related to...

It is well known that MTL satisfies the finite embeddability property. Thus MTL is complete w.r.t. the class of all finite MTL-chains. In order to reach a deeper understanding of the structure of this class, we consider the extensions of MTL by adding the generalized contraction since each finite MTL-chain satisfies a form of this generalized contraction. Simultaneously, we also consider extens...

Marrubenol inhibits contraction of rat arteries by blocking L-type calcium (Ca(2+)) channels in smooth muscle cells, but its interaction with binding sites for calcium antagonists had never been investigated. Competition binding studies indicated that marrubenol was a weak inhibitor of 1,4-dihydropyridine binding in membranes isolated from rat intestinal smooth muscle but completely displaced s...

Many bilateral motor tasks engage simultaneous activation of distal and proximal arm muscles, but little is known about their physiological interactions. Here, we used transcranial magnetic stimulation to examine motor-evoked potentials (MEPs), interhemispheric inhibition at a conditioning-test interval of 10 (IHI(10)) and 40 ms (IHI(40)), and short-interval intracortical inhibition (SICI) in t...

It is explored that if dominant component of content of the future universe behaves as Chaplygin gas, voilation of other energy conditions (null energy condition, weak energy condition and dominant energy condition) can be avoided if " strong energy condition " is obeyed. In the investigations, here, two cases arise. In one case, universe expands with acceleration leading to finite energy densi...