Let the function $$\varphi $$ be holomorphic in unit disk $${\mathbb {D}}$$ of complex plane {C}}$$ and let ({\mathbb {D}})\subset {\mathbb . We study level sets critical points hyperbolic derivative , $$\begin{aligned} |D_{\varphi }(z)|:=\frac{(1-|z|^2)|\varphi '(z)|}{1-|\varphi (z)|^2}. \end{aligned}$$ In particular, we show how Schwarzian reveals nature points.

In this paper, we introduce the notions of S-proximal Berinde g-cyclic contraction two nonself mappings and g-contractions first kind second in an S-metric space prove some coincidence best proximity point theorems for these types space. Also, give examples to analyze support our main results. The results presented here generalize existing literature.

Not only cyclic 3'. 5'-AMP but also related compounds containing adeno sine moiety potentiated the contractile response of the isolated guinea-pig vas deferens to catecholamines, especially to dl-isoproterenol. The potentiating activity of cyclic 3', 5'-AMP was one-tenth that of adenosine or 5'-AMP. From these findings, it is suggested that not only adenosine moiety but also the steric conforma...

A toroidalization of a dominant morphism $varphi: Xto Y$ of algebraic varieties over a field of characteristic zero is a toroidal lifting of $varphi$ obtained by performing sequences of blow ups of nonsingular subvarieties above $X$ and $Y$. We give a proof of toroidalization of locally toroidal morphisms of 3-folds.

We construct a fundamental domain omega for an arbitrary lattice [unk] in a real rank one, real simple Lie group, where omega has finitely many cusps (i.e., is a finite union of Siegel sets) and has the Siegel property (i.e., the set {gamma [unk] [unk]|omegagamma [unk] omega [unk] varphi} is finite). From the existence of omega we derive a number of consequences. In particular, we show that [un...

It had long been one of the crucial questions in muscle physiology how glycogenolysis is regulated in connection with muscle contraction, when we found the answer to this question in the last half of the 1960s. By that time, the two principal currents of muscle physiology, namely, the metabolic flow starting from glycogen and the mechanisms of muscle contraction, had already been clarified at t...

The effects of natural cyclodepsipeptides (CDPs) on isolated rat cardiac tissue preparations were examined in vitro. Destruxin A, destruxin B (DB), roseotoxin B (RB), and roseocardin (RC), a novel CDP, each caused a concentration-dependent increase in the contraction force of the right atrium and the papillary and trabecular muscles of the right ventricle at 0.6 to 600 microM. RB, destruxin A, ...

The aim of this paper is to derive some common best proximity point results in partial metric spaces defining a new class symmetric mappings, which generalization cyclic ϕ-contraction mappings. With the help these characterization completeness given by Cobzas (2016) extended here for spaces. existence solution Fredholm integral equation also obtained via fixed-point formulation such

In this paper, we study the class of cyclic contractions in setting S-metric spaces involving C-class function and establish some fixed point theorems complete spaces. We support our results with examples. Our extend generalize several from existing literature (see, e.g., [3, 8, 9, 14, 15, 20] many others) to case more general ambient space contraction condition.