In [1], A. Branciari defines a Generalised metric space of finite order and establishes Banach contraction principle in it. The object of this paper is to extend this result to Quasi contraction and prove some fixed point results for two weakly compatible self maps satisfying a generalized contractive condition in this space without assuming it to be Hausdorff . Our result generalizes the said ...

Certain generalized Banach's contraction mapping principles on metric spaces are unified and/or extended to Hausdorff uniform spaces. Also given are some relationships between the set of all cluster points of the Picard iterates and the set of all fixed points for the mapping. These are obtained by assuming that the latter set is nonempty and by considering certain "quasi"-contractive condition...

In this paper, we prove intuitionistic fuzzy quasi-metric version of the Banach contraction principle which extend the famous Grabiec fixed point theorem. By using this result we show the existence of fixed point for contraction mappings on the domain of words and apply this approach to deduce the existence of solution for some recurrence equations associated to the analysis of Quicksort algori...

We apply a method developed by one of the authors, see [1], to localize the numerical range of quasi-sectorial contractions semigroups. Our main theorem establishes a relation between the numerical range of quasi-sectorial contraction semigroups {exp(−tS)}t≥0, and the maximal sectorial generators S. We also give a new prove of the rate O(1/n) for the operator-norm Euler formula approximation: e...

The purpose of this note is to give a natural approach to the extensions of the Banach Contraction Principle in metric spaces endowed with a partial order, a directed graph or a binary relation in terms of extended quasi-metric. This novel approach is new and may open the door to other new fixed point theorems. The case of multivalued mappings is also discussed and an analogue result to Nadler’...

Background: Muscle fatigue has been known to influence brain activity, but very little is known about how cortical centers respond to muscle fatigue.Objective: This study was conducted to investigate the effects of muscle contraction and fatigue induced by two different percents of maximal voluntary contraction (MVC) on Electroencephalography (EEG) signals.Material and Methods: In t...

Quasi-metrics have been used in several places in the literature on domain theory and the formal semantics of programming languages. In this paper, we consider the role of quasi-metrics in the xed point semantics of logic programs, examining in detail a quite general process by which xed points of immediate consequence operators can be found. This work takes as its starting point: (i) Fitting's...

*Correspondence: [email protected] 1School of Statistics, Jiangxi University of Finance and Economics, Nanchang, 330013, China 2Research Center of Applied Statistics, Jiangxi University of Finance and Economics, Nanchang, 330013, China Full list of author information is available at the end of the article Abstract In this paper, we introduce the notion of a quasi-contraction restricted with a ...