In this paper, we find the best proximity point in G-metric spaces for G-generalized ζ-β-T contraction mappings and verify existence uniqueness of complete G metric space using idea an approximatively compact set. addition, example is provided to illustrate outcome.

Let (H,B) be an abstract Wiener space and let μs be the Gaussian measure on B with variance s. Let ∆ be the Laplacian (not the number operator), that is, a sum of squares of derivatives associated to an orthonormal basis of H. I will show that the heat operator exp(t∆/2) is a contraction operator from L2(B,μs) to L2(B,μs−t), for all t < s. More generally, the heat operator is a contraction from...

Here we give a closure free description of the higher rank numerical range normal operator acting on separable Hilbert space. This generalizes result Avendaño for self-adjoint operators. It has several interesting applications. We show using Durszt's example that there exists contraction T which intersection ranges all unitary dilations contains as proper subset. strengthen and generalize Wu by...

Contraction of the unit cell neutral radical ferromagnet 1a at T = 2 K leads to a decrease in slippage π-stacks and an increase axial ferromagnetic exchange interactions.

The primary objective of the paper is to present Banach contraction theorem in soft fuzzy metric spaces while taking into consideration a restriction on between points absolute set. A new altering distance function, namely Ψ-contraction introduced spaces, and some fixed point results are proven by considering mappings that comprise with continuity t-norm. In addition that, illustrations supplie...

PURPOSE The purpose of this study was to investigate the effects of pelvic floor muscle exercise using electric stimulation and biofeedback on maximum pressure of vaginal contraction, vaginal contraction duration and sexual function in women who have had vaginal rejuvenation. METHODS The research design was a non-equivalent control group non-synchronized design study. Participants in this stu...

Abstract Background Real-time ultrasound imaging (RUSI) has been increasingly used as a form of biofeedback when instructing and re-training muscle contraction. However, the effectiveness RUSI on single sustained contraction lumbar multifidus (LM) transversus abdominis (TrA) rarely reported. This preliminary study aimed to determine if use RUSI, visual biofeedback, could enhance ability activat...

Cardiac myosin-binding protein C (cMyBP-C) is involved in the regulation of cardiac myofilament contraction. Recent evidence showed that protein kinase D (PKD) is one of the kinases that phosphorylate cMyBP-C. However, the mechanism by which PKD-induced cMyBP-C phosphorylation affects cardiac contractile responses is not known. Using immunoprecipitation, we showed that, in contracting cardiomyo...