The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for a pair of self mappings satisfying some expansive type conditions in $b$-metric spaces. Finally, we investigate that the equivalence of one of these results in the context of cone $b$-metric spaces cannot be obtained by the techniques using scalarization function....

Mediated by guanylate cyclase-activating proteins (GCAPs), cytoplasmic Ca2+ levels regulate the activity of photoreceptor guanylate cyclase (GC) and the synthesis of cGMP, the internal transmitter of phototransduction. When GCAP1 is expressed in transgenic mice on a GCAP null background, it restores the wild-type flash responses in rod photoreceptors. In this communication, we explored the role...

In this paper, we give the idea of a generalized c-distance in a cone b-metric space. Then, we prove some common fixed point and fixed point theorems in cone b-metric spaces by using the distance.

We give an overview of cone optimization software, with special attention to the differences between the existing packages. We assume the reader is familiar with the theory and algorithms of cone optimization, thus technical details are kept at a minimum. We also outline current research trends and area of potential improvement. 1 Problem description Conic optimization solvers target problems o...

Although the RCS rat is widely used as a model of progressive photoreceptor loss, it is unclear how the relative rod and cone functions change with age. Rod and cone b-waves were isolated using a double flash ERG paradigm. In contrast to cones, rods never reached normal functional maturity levels, and the ERG b-wave changed from being predominantly rod-driven to being purely cone-driven by age ...

Abstract. In this paper, we introduce the concept of partial cone b-metric spaces as a generalization of partial metric, cone metric and b-metric spaces and establish some topological properties of partial cone b-metric spaces. Moreover, we also prove some common fixed point theorems for cyclic contractive mappings in such spaces. Our results generalize and extend the main results of Huang and ...

The ganzfeld-evoked electroretinogram (ERG) is the most effective measure of the mass electrical response of cones and rods; however, all variables affecting the various components of the ERG have not been identified. The scotopic b-wave amplitude has been appreciated to be age-dependent, but little or no information exists in the literature regarding age dependency for other components. Linear...

Full-field electroretinograms (ERGs) were recorded from three adult English setters with advanced neuronal ceroid lipofuscinosis and three normal controls. Affected setters showed 30% to 40% reductions in a-wave and b-wave amplitudes, normal cone and rod b-wave implicit times, and slightly elevated a-wave and b-wave thresholds. The ERGs of these affected setters differed from those that have be...