In this paper, by using a simple technique, we obtain several existence results of the solutions for general variational inequalities of Stampacchia type. We also show, that the existence of a coincidence point of two mappings is equivalent to the existence of the solution of a particular general variational inequality of Stampacchia type. As applications several coincidence and fixed point res...

BACKGROUND Large-cage experiments indicate pyriproxifen (PPF) can be transferred from resting sites to aquatic habitats by Anopheles arabiensis--malaria vector mosquitoes to inhibit emergence of their own offspring. PPF coverage is amplified twice: (1) partial coverage of resting sites with PPF contamination results in far higher contamination coverage of adult mosquitoes because they are mobil...

In this paper, some fixed point theorems with PPF dependence in Banach spaces are proved and then applied to functional differential equations of delay type for proving the existence of solutions. Our results generalizes the fixed point theorems with PPF dependence of Bernfield et al. [1] under weaker conditions.

BACKGROUND Because ascending aortic pressure has a greater effect on coronary perfusion during diastole than systole, we hypothesized that a high coronary diastolic-to-systolic pressure ratio prevents coronary lesions from restenosing after percutaneous transluminal coronary angioplasty (PTCA) and that ascending aortic pulsatility relative to mean pressure is higher in patients with restenosis ...

A probabilistic power flow (PPF) study is an essential tool for the analysis and planning of a power system when specific variables are considered as random variables with particular probability distributions. The most widely used method for solving the PPF problem is Monte Carlo simulation (MCS). Although MCS is accurate for obtaining the uncertainty of the state variables, it is also computat...

Previous studies implicated metabotropic glutamate receptors (mGluRs) in N-methyl-D-aspartate (NMDA) receptor-independent long-term potentiation (LTP) in area CA1 of the rat hippocampus. To learn more about the specific roles played by mGluRs in NMDA receptor-independent LTP, we used whole cell recordings to load individual CA1 pyramidal neurons with a G-protein inhibitor [guanosine-5'-O-(2-thi...

Let us begin with some basic definitions and notation that will be needed in this paper. Throughout this paper, we denote by N and R, the sets of positive integers and real numbers, respectively. Let X, d be a metric space. For each x ∈ X, and A ⊆ X, let d x,A infy∈Ad x, y . Denote by N X the class of all nonempty subsets of X, C X the family of all nonempty closed subsets ofX, and CB X the fam...

and Applied Analysis 3 (w3) for any ε > 0, there exists δ > 0 such that p(z, x) ≤ δ and p(z, y) ≤ δ imply d(x, y) ≤ ε. A function p : X×X → [0,∞) is said to be a τ-function [5, 10, 14, 15, 27–29], first introduced and studied by Lin and Du, if the following conditions hold: (τ1) p(x, z) ≤ p(x, y) + p(y, z) for all x, y, z ∈ X; (τ2) if x ∈ X and {yn} in X with limn→∞yn = y such that p(x, yn) ≤ M...

Alpha-amino-3-hydroxy-5-methyl-4-isoxazole propionate receptors (AMPARs) mediate the majority of fast excitation in the CNS. Receptors lacking GluR2 exhibit inward rectification and paired-pulse facilitation (PPF) due to polyamine (PA)-dependent block and unblock, respectively. In this study, we tested whether rectification and PPF in immature, but not mature, pyramidal neurons depend not only ...