In this paper, we introduce the concept of SPG*-closed mapping and continuous among which SPG-closed mappings, mappings SPG**-closed relationship between them, also SPG-continuous SPG*-continuous SPG**-continuous them. Among result obtain are concepts closed independent PG**-continuous independent.

With an increase in Agile, Lean, and DevOps software methodologies over the last years (collectively referred to as Continuous Software Development (CSD)), we have observed that documentation is often poor. This work aims at collecting studies on challenges, practices, tools can support CSD. A systematic mapping study was conducted identify analyze research CSD, covering publications between 20...

Seafloor topography and grain size distribution are pivotal features in marine coastal environments, able to influence benthic community structure ecological processes at many spatial scales. Accordingly, there is a strong interest multiple research disciplines obtain seafloor geological and/or habitat maps. The aim of this study was provide novel, automatic simple model high-resolution maps, u...

Let T : K → H be a nonlinear mapping from a nonempty closed invex subset K of an infinite-dimensional Hilbert space H into H . Let f : K → R be proper, invex, and lower semicontinuous on K and let h : K → R be continuously Fréchet-differentiable on K with h′, the gradient of h, (η,α)-strongly monotone, and (η,β)-Lipschitz continuous on K . Suppose that there exist an x∗ ∈ K , and numbers a > 0,...

We have developed and deployed a 3D Interferometer-type Lightning Mapping Array (InLMA) for observing winter lightning in Japan. InLMA consists of three broadband interferometers installed at stations with distance from 3 to 5 km. At each interferometer station, discone antennas were installed, forming right triangle separation 75 m along their two orthogonal baselines. The output antenna is pa...

Let S be a semigroup. In certain cases we give some characterizations of extreme amenability of S and we show that in these cases extreme left amenability and extreme right amenability of S are equivalent. Also when S is a compact topological semigroup, we characterize extremely left amenable subalgebras of C(S), where C(S) is the space of all continuous bounded real valued functions on S

The abscissa mapping on the affine variety Mn of monic polynomials of degree n is the mapping that takes a monic polynomial to the maximum of the real parts of its roots. This mapping plays a central role in the stability theory of matrices and dynamical systems. It is well known that the abscissa mapping is continuous on Mn, but not Lipschitz continuous. Furthermore, its natural extension to t...

and Applied Analysis 3 the uniform r-prox-regularity C is equivalent to the convexity of C. Moreover, it is clear that the class of uniformly prox-regular sets is sufficiently large to include the class p-convex sets, C1,1 submanifolds possibly with boundary of H, the images under a C1,1 diffeomorphism of convex sets, and many other nonconvex sets; see 6, 8 . Now, let us state the following fac...