In this study we provide several significant generalisations of Banach contraction principle where the Lipschitz constant is substituted by real-valued control function that a comparison function. We non-stationary variants fixed-point. particular, article looks into “trajectories maps defined systems” which are regarded as generalizations traditional iterated system (IFS). The importance forwa...

The energy cost of contractions in skeletal muscle involves activation of both actomyosin and sarcoplasmic reticulum (SR) Ca²⁺-pump (SERCA) ATPases, which together determine the overall ATP demand. During repetitive contractions leading to fatigue, the relaxation rate and Ca²⁺ pumping become slowed, possibly because of intracellular metabolite accumulation. The role of the energy cost of cross-...

Inflammatory mediators released by macrophages (M phi) are believed to be involved in septic vasoplegia. To investigate the effect of M phi on vascular reactivity, excised rabbit carotids were exposed intraluminally either to peritoneal rabbit M phi, activated by 18 h of incubation with 1 microgram/ml lipopolysaccharide, or to the supernatants (SPN) derived from them. The contractile responses ...

In this paper, we establish a fixed point theorem for controlled rectangular $b-$metric spaces mappings that satisfy $(\psi, \phi)-$contractive mappings. Also, give an application of our results as integral equation.

The fractal velocity pattern in symmetric kink-antikink collisions ${\ensuremath{\phi}}^{4}$ theory is shown to emerge from a dynamical model with two effective moduli: the separation and internal shape mode amplitude. usefully approximates Lorentz contractions of kink antikink, previously problematic null vector amplitude at zero regularized.

Abstract In this paper, we first introduce several new contractions by some auxiliary functions. Then establish φ -fixed point results for $(\gamma ,\psi ,\varphi ,\phi )$ ( γ , ψ φ ϕ ) contractions, rational...

To investigate intracellular pH (pHi) in human resistance arteries in essential hypertension, vessels were obtained from small biopsies of skin and subcutaneous fat from 14 untreated patients, and the results were compared with those from 14 matched normotensive control volunteers. Segments of isolated resistance arteries were mounted in a myograph and loaded with the pH-sensitive fluorescent d...