Due to the rapid evolution of 3D acquisition and modeling methods highly complex and detailed models became ubiquitous. In order to be able to cope with the complexity, concentrated efforts were dedicated to the development of new mesh decimation methods in the recent years. In works of Garland and Heckbert [Garland and Heckbert 1997] and Popović and Hoppe [Popović and Hoppe 1997], the traditio...

Abstract In this paper, we obtain sufficient conditions for the existence and uniqueness results of pantograph fractional differential equations (FDEs) with nonlocal involving Atangana–Baleanu–Caputo (ABC) derivative operator orders. Our approach is based on reduction FDEs to integral some fixed point theorems such as Banach’s contraction principle theorem Krasnoselskii. Further, Gronwall’s ine...

We provide a complete elaboration of the $L^2$-Hilbert space hypocoercivity theorem for degenerate Langevin dynamics with multiplicative noise, studying longtime behaviour strongly continuous contraction semigroup solving abstract Cauchy problem associated backward Kolmogorov operator. Hypocoercivity constant diffusion matrix was proven previously by Dolbeault, Mouhot and Schmeiser in correspon...

ion operator was introduced as the lambda abstraction operator because this semantic model is based on a particular interpretation of the typed lambda calculus used to denote natural language semantics. Thus, a particular “pen” can be denoted by the 0-order expression h()[pen 1231, the class of all pens can be defined by the 1-order expression h(x)[pen(x)], and this class is a particular subcla...

In the presented research, uniqueness and existence of a mild solution for fractional system semilinear evolution equations with infinite delay an infinitesimal generator operator are demonstrated. The generalized Liouville–Caputo derivative non-integer-order 1<??2 parameter 0<?<1 used to establish our model. ?-Laplace transform strongly continuous cosine sine families uniformly bounde...

in this paper, we establish and prove the existence of best proximity points for multivalued cyclic $f$- contraction mappings in complete metric spaces. our results improve and extend various results in literature.

recently, choudhury and metiya [fixed points of weak contractions in cone metric spaces, nonlinear analysis 72 (2010) 1589-1593] proved some fixed point theorems for weak contractions in cone metric spaces. weak contractions are generalizations of the banach's contraction mapping, which have been studied by several authors. in this paper, we introduce the notion of $f$-weak contractions and als...

In this article, we study the steady generalized Navier-Stokes equations in a half-space in the setting of variable exponent spaces. We first establish variable exponent spaces of Clifford-valued functions in a half-space. Then, using this operator theory together with the contraction mapping principle, we obtain the existence and uniqueness of solutions to the stationary Navier-Stokes equation...

Operator angle-action variables are studied in the frame of the SU(2) algebra, and their eigenstates and coherent states are discussed. The quantum mechanical addition of actionangle variables is shown to lead to a novel non commutative Hopf algebra. The group contraction is used to make the connection with the harmonic oscillator. Presented at the ”Harmonic Oscillators” Workshop University of ...

Let H be a real Hilbert space and S = {T (s) : 0 ≤ s < ∞} be a nonexpansive semigroup on H such that F (S) 6= ∅. For a contraction f with coefficient 0 < α < 1, a strongly positive bounded linear operator A with coefficient γ̄ > 0. Let 0 < γ < γ̄ α . It is proved that the sequences {xt} and {xn} generated by the iterative method xt = tγf(xt) + (I − tA) 1 λt ∫ λt