in this paper, we give some new definitions of m-fuzzy metric spaces and we prove a common fixed point theorem for six mappings under the condition of weakly compatible mappings in complete m-fuzzy metric spaces.

Machine-learning solutions to classification, clustering and matching problems critically depend on the adopted metric, which in the past was selected heuristically. In the last decade, it has been demonstrated that an appropriate metric can be learnt from data, resulting in superior performance as compared with traditional metrics. This has recently stimulated a considerable interest in the to...

In this paper, we present a work-in-progress towards a perceptual study concerning male and female first impressions of male virtual faces as variations are made in terms of their facial hair (beard) length, colour and the camera viewing angle. Previous studies involving real human faces suggest that these types of variations may impact impressions of trustworthiness and related qualities, such...

The major concern for a computer system is its security and integrity. It is necessary to check the security level of your system and keep it updated. This can be best achieved by using a metric system. At present, there is no standard metric to measure the integrity and security of a computer system. Defining a standard metric that suits all the systems is difficult, considering the fact that ...

In this paper, we introduce a new entropy-like invariant, named Hausdorff metric entropy, for finitely generated semigroups acting on compact metric spaces from a set-valued view and study its properties. We establish the relation between Hausdorff metric entropy and topological entropy of a semigroup defined by Bis. Some examples with positive or zero Hausdorff metric entropy are given. Moreov...

In this paper, we discuss the existence and uniqueness of fixed points for $G$-asymptotic contractions in metric spaces endowed with a graph. The result given here is a new version of Kirk's fixed point theorem for asymptotic contractions in metric spaces endowed with a graph. The given result here is a generalization of fixed point theorem for asymptotic contraction from metric s paces to metr...

We introduce the notion of a network of trust and distrust relations between individuals and take an argumentation approach to the assessment of whether one individual should trust another. . . . good decision is based on knowledge and not on numbers” Plato Early Dialogues Laches

the video quality assessment must be adapted to the human visual system, which is why researchers have performed subjective viewing experiments in order to obtain the conditions of encoding of video systems to provide the best quality to the user. the objective of this study is to assess the video quality using image features extraction without using reference video. rmse values and processing ...

Our theorems are on ordered cone metric spaces which are not necessarily normal. In the end, we describe the application of the main results in the integral equation.Although Du in [W‎. ‎S‎. ‎Du‎, ‎A note on cone metric fixed point theory and its equivalence‎, ‎Nonlinear Analysis‎, ‎72(2010) 2259-2261.]‎, ‎showed that the fixed point results in the setting of cone...