The purpose of this paper is to prove some theorems which generalize a theorem of M. Tel ci, K. Tas and B. Fisher on compatible mappings and compatible mappings of type (A). Let S, T be two self-mappings of a metric space (X; d). Sessa 7] deenes S and T to be weakly commuting if d(STx; TSx) 6 d(Tx; Sx) for all x in X. Jungck 3] deenes T and S to be compatible ii lim n d(STx n ; TSx n) = 0 whene...

We investigate spectral properties of turbulence in the solar wind that is a weakly collisional astrophysical plasma, accessible to situ observations. Using Helios search coil magnetometer measurements fast wind, inner heliosphere, we focus on turbulent magnetic fluctuations at scales smaller than ion characteristic scales, so-called kinetic plasma turbulence. At such small show power spectra b...

Assuming Jensen's diamond principle (⋄) we construct for every natural number n>0 a compact Hausdorff space K such that whenever the Banach spaces C(K) and C(L) are isomorphic some L, then covering dimension of L is equal to n. The constructed separable connected, has few operators i.e. bounded linear operator T:C(K)→C(K) form T(f)=fg+S(f), where g∈C(K) S weakly compact.

In this paper, we first consider (po-)torsion free and principally weakly (po-)flat $S$-posets, specifically  we discuss when (po-)torsion freeness implies principal weak (po-)flatness. Furthermore, we give a counterexample to show that Theorem 3.22 of Shi is incorrect. Thereby we present a correct version of this theorem. Finally, we characterize pomonoids over which all cyclic $S$-posets are ...

We consider the steady free surface two-dimensional flow past a semi-infinite flat plate in water of a constant finite depth. The fluid is assumed to be inviscid, incompressible and the flow is irrotational; surface tension at the free surface is neglected. Our concern is with the periodic waves generated downstream of the plate edge. These can be characterized by a depth-based Froude number, F...

Abstract Let F be an ordered topological vector space (over $$\mathbb {R}$$ R ) whose positive cone $$F_+$$ F + is weakly closed, and let $$E \subseteq F$$ E ⊆ a subspace. We prove that the set of...

It is shown that, under some algebraic conditions on fixed reals α1, α2, . . . , αn+1 and vectors a1,a2, . . . ,an+1 ∈ R, every continuous at a point function f : R → R satisfying the simultaneous system of inequalities f(x + ai) ≤ αi + f(x), x ∈ R, i = 1, 2, . . . , n + 1, has to be of the form f(x) = p · x + f(0), x ∈ R, with uniquely determined p ∈ R. For mappings with values in a Banach spa...

This paper describes and compares application of wavelet basis and Block-Pulse functions (BPFs) for solving fractional integro-differential equation (FIDE) with a weakly singular kernel‎. ‎First‎, ‎a collocation method based on Haar wavelets (HW)‎, ‎Legendre wavelet (LW)‎, ‎Chebyshev wavelets (CHW)‎, ‎second kind Chebyshev wavelets (SKCHW)‎, ‎Cos and Sin wavelets (CASW) and BPFs are presented f...