Menger (N?beling) Manifolds versus Hilbert Cube (Space) Manifolds – A Categorical Comparison

 We show that the n-homotopy category of connected (n+1)-dimensional Menger manifolds is isomorphic to the homotopy category of connected Hilbert cube manifolds whose k-dimensional homotopy groups are trivial for each .     

Lipscomb’s L(A) Space Fractalized in l p (A)

In this paper, by using some of our new results concerning the shift space for an infinite IFS (see A. Mihail and R. Miculescu, The shift space for an infinite iterated function system, Math. Rep. Bucur. 11 (2009), 21?C32), we show that, for an infinite set A, the embedded version of the Lipscomb space L(A) in l ^p (A), ${p \in [1,\infty)}$ , with the metric induced from l ^p (A), denoted by ${\omega_p^A}$ , is the attractor of an infinite iterated function system comprising affine transformations of l ^p (A). In this way we provide a generalization of the positive answer that we gave to an open problem of J.C. Perry (see Lipscomb??s universal space is the attractor of an infinite iterated function system, Proc. Amer. Math. Soc. 124 (1996), 2479?C2489) in one of our previous works (see R. Miculescu and A. Mihail, Lipscomb space ?? ^A is the attractor of an infinite IFS containing affine transformations of l ²(A), Proc. Amer. Math. Soc. 136 (2008), 587?C592). Moreover, as a byproduct, we provide a generalization of Corollary 15 from Perry??s paper by proving that ${\omega_p^A}$ is a closed subset of l ^p (A).     

求N次方根(N√A)近似值的一个简捷方法

介绍利用递推式数列求N次方根N√A近似值的一个方法,并利用单调有界原理证得该递推式的收敛性。     

求N次方根(A)1/N近似值的一个简捷方法

介绍利用递推式数列求N次方根 NA近似值的一个方法 ,并利用单调有界原理证得该递推式的收敛性     

A nonlinear inclusion problem involving (α,λ)-NODM set-valued mappings in ordered Hilbert space

The purpose of this work is as follows: First, a class of nonlinear inclusion problems involving $(\alpha ,\lambda )$-$NODM$ set-valued mappings in an ordered Hilbert space is introduced, and then, applying the resolvent operator associated with $(\alpha ,\lambda )$-$NODM$ set-valued mappings, an existence theorem on the solvability of this class of nonlinear inclusion problems is established. Furthermore, on the basis of the existence theorem and the new $(\alpha ,\lambda )$-$NODM$ model, a general algorithm is introduced and applied to the approximation solvability of the nonlinear inclusion problem at hand. The results obtained seem to be general in nature.     

A note on certain matrices with h(x) – Fibonacci quaternion polynomials

In this paper we consider a g – circulant, right circulant, left circulant and a special kind of a tridiagonal matrices whose entries are h(x) – Fibonacci quaternion polynomials. We present the determinant of these matrices and with the tridiagonal matrices we show that the determinant is equal to the nth term of the h(x) – Fibonacci quaternion polynomial sequences.     

A Class of Quasilinear Schrödinger Equations with Improved (AR) Condition

By improving the classical (AR) condition, we establish the existence of positive solutions for a class of quasilinear Schrödinger equations.

     

Ein neues Verfahren der schrittweisen Näherungen zur Lösung vony′=f(x,y)

Ohne Zusammenfassung     

A new approach for solutions of the (2 + 1)-dimensional cubic nonlinear Schrödinger equation

A new method to solve the nonlinear evolution equations is presented, which combines the two kind methods – the tanh function method and symmetry group method. To demonstrate the method, we consider the (2 + 1)-dimensional cubic nonlinear Schrödinger (NLS) equation. As a result, some novel solitary solutions of the Schrödinger equation are obtained. And graphs of some solutions are displayed.     

Corrigendum to “On the Taylor sequence spaces and upper boundedness of Hausdorff matrices and Nörlund matrices” [Indag. Math. 28(3) (2017) 629–636]

The results in Section 4 of the paper “On the Taylor sequence spaces and upper boundedness of Hausdorff matrices and Nörlund matrices” that appeared in this journal (28 (3) (2017), 629–636) are valid only for those summability matrices whose absolute row sums do not exceed 1. For other summability matrices, the corrected results are presented and proved.