To study the relationships between gastric antral and proximal duodenal motor activity, and the movement of liquid across the pylorus, 10 healthy volunteers were given a test meal of dilute orange juice and bran, and events at the gastric outlet monitored by real-time ultrasound. A total of 116 complete gastric peristaltic cycles were observed and in 86% of these, associated proximal duodenal c...

In this paper we consider the contraction-proximal point algorithm: xn+1 = αnu+λnxn+γnJβnxn, where Jβn denotes the resolvent of a monotone operator A. Under the assumption that limn αn = 0, ∑ n αn = ∞, lim infn βn > 0, and lim infn γn > 0, we prove the strong convergence of the iterates as well as its inexact version. As a result we improve and recover some recent results by Boikanyo and Morosa...

*Correspondence: [email protected] Department of Mathematics, King Saud University, Riyadh, Saudi Arabia Abstract Consider a non-self-mapping T : A→ B, where (A,B) is a pair of nonempty subsets of a metric space (X ,d). In this paper, we study the existence and uniqueness of solutions to the global optimization problem minx∈A d(x, Tx), where T belongs to the class of proximal quasi-contraction ...

We provide a new approach to the Hutchinson-Barnsley theory for idempotent measures first presented in Mazurenko and Zarichnyi (2018) [24]. The main feature developed here is metrization of space using embedding fuzzy sets. metric obtained induces topology stronger than canonical pointwise convergence topology. A key result existence bijection between sets conjugation Markov operator an IFS on ...

This work presents a new methodology for ventricular premature contraction arrhythmias recognition using set of geometrical attributes recently proposed and fuzzy maximum approaching degree. Pattern models based on triangular trapezoidal membership functions are committee comprising these is composed some statistical data, beyond mechanism manual selection automatic weighting each attribute. Th...

In this paper, we introduce the notion of an ordered rational proximal contraction in partially ordered b-quasi metric spaces. We shall then prove some best proximity point theorems in partially ordered b-quasi metric spaces.