We develop two generalizations of contraction theory, namely, semi-contraction and weak-contraction theory. First, using the notion seminorm, we propose a geometric framework for introduce matrix semimeasures characterize their properties. show that spectral abscissa is infimum over weighted semimeasures. For dynamical systems, use semimeasure Jacobian to contractivity properties trajectories. ...

Abstract In the present article, we introduce a new type of generalized multivalued orthogonal α - F contraction integral mappings in context metric spaces and establish some fixed point results. We construct an example to show existence this work. Our results substantially unify, generalize complement comparable existing literature. As application our results, derive periodic for single valued...

Let $kge 1$ be an integer, and let $G$ be a finite and simple graph with vertex set $V(G)$.A weak signed Roman $k$-dominating function (WSRkDF) on a graph $G$ is a function$f:V(G)rightarrow{-1,1,2}$ satisfying the conditions that $sum_{xin N[v]}f(x)ge k$ for eachvertex $vin V(G)$, where $N[v]$ is the closed neighborhood of $v$. The weight of a WSRkDF $f$ is$w(f)=sum_{vin V(G)}f(v)$. The weak si...

The aim of this study was to investigate effects of calmodulin antagonist (W-7) on the contractile response of the rat aorta induced by activation of protein kinase C (PKC) by phorbol ester. Phorbol 12-myristate 13-acetate (PMA) produced biphasic contraction i.e., a sustained contraction (initial contraction) and 17.9 +/- 1.7 min later, this progressively developed contraction was changed to a ...

In this paper, we introduce some new types of extended Geraghty contractions, called (?,?)-admissible generalized F-contractions, and prove fixed point results for such contractions in the setting partial b-metric spaces. Moreover, based on obtained property symmetry, inaugurate a result graphic F-contractions defined metric spaces endowed with directed graph. As an application, examine existen...