In this paper, we introduce the new notion of contravariant (α−ψ) Meir–Keeler contractive mappings by defining α-orbital admissible and covariant contraction in bipolar metric spaces. We prove fixed point theorems for these contractions also provide some corollaries main results. An example is be given support our result. end, solve an integral equation using

We show that the commutant lifting theorem for n-tuples of commuting contractions with regular dilations fails to be true. A positive answer is given for operators which ”double intertwine” given n-tuples of contractions. The commutant lifting theorem is one of the most important results of the Sz. Nagy—Foias dilation theory. It is usually stated in the following way: Theorem. Let T and T ′ be ...

In patients with spinal cord injury (SCI), somatosympathetic reflexes produce exaggerated decreases in skin blood flow below the lesion. This hypoperfusion appears to result from an increased responsiveness of cutaneous arterial vessels to neural activation. Here we investigated the mechanisms that underlie SCI-induced enhancement of neurovascular transmission in a cutaneous vessel, the rat tai...

Activation of pudendal afferents can evoke bladder contraction or relaxation dependent on the frequency of stimulation, but the mechanisms of reflex bladder excitation evoked by pudendal afferent stimulation are unknown. The objective of this study was to determine the contributions of sympathetic and parasympathetic mechanisms to bladder contractions evoked by stimulation of the dorsal nerve o...

In this paper, we extend the idea of α-ψ contraction mapping to product spaces by introducing Prešić–Ćirić-type contractions and utilize them prove some coincidence common fixed-point theorems in context ordered metric using α-admissibility mapping. Our newly established results generalize a number well-known from literature. Moreover, give examples that attest credibility our results. Further,...

Abstract. Recently, Aydi et al. [On fixed point results for α-implicit contractions in quasi-metric spaces and consequences, Nonlinear Anal. Model. Control, 21(1):40–56, 2016] proved some fixed point results involving α-implicit contractive conditions in quasi-b-metric spaces. In this paper we extend and improve these results and derive some new fixed point theorems for implicit contractions in...

In this paper, we introduce the concept of α , BK -contractions and prove existence fixed points for contravariant mappings on bipolar metric spaces.

In this paper, we investigate new solutions to the Rhoades' discontinuity problem on existence of a self-mapping which has fixed point but is not continuous at metric spaces. To do this, use number defined as n(x,y)=[d(x,y)]β[d(x,Ty)]α[d(x,Ty)]γ[(d(x,Ty)+d(x,Ty))/2]1−α−β−γ, where α , β γ ∈ ( 0,1 ) with + < 1 and some interpolative type contractive conditions. Also, geometric properties Fix(T...