On branchwise commutative pseudo-BCH algebras
Journal Title: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica - Year 2017, Vol 71, Issue 2
Abstract
Basic properties of branches of pseudo-BCH algebras are described. Next, the concept of a branchwise commutative pseudo-BCH algebra is introduced. Some conditions equivalent to branchwise commutativity are given. It is proved that every branchwise commutative pseudo-BCH algebra is a pseudo-BCI algebra.
Authors and Affiliations
Andrzej Walendziak
Generalized trend constants of Lipschitz mappings
In 2015, Goebel and Bolibok defined the initial trend coefficient of a mapping and the class of initially nonexpansive mappings. They proved that the fixed point property for nonexpansive mappings implies the fixed point...
On a two-parameter generalization of Jacobsthal numbers and its graph interpretation
In this paper we introduce a two-parameter generalization of the classical Jacobsthal numbers ((s, p)-Jacobsthal numbers). We present some properties of the presented sequence, among others Binet’s formula, Cassini’s ide...
An existence and approximation theorem for solutions of degenerate nonlinear elliptic equations
The main result establishes that a weak solution of degenerate nonlinear elliptic equations can be approximated by a sequence of solutions for non-degenerate nonlinear elliptic equations.
Convolution conditions for bounded α-starlike functions of complex order
Let A be the class of analytic functions in the unit disc U of the complex plane C with the normalization f(0)=f′(0)−1=0. We introduce a subclass S∗M(α,b) of A, which unifies the classes of bounded starlike and convex fu...
On almost complex structures from classical linear connections
Let Mfm be the category of m-dimensional manifolds and local diffeomorphisms and let T be the tangent functor on Mfm. Let V be the category of real vector spaces and linear maps and let Vm be the category of m-dimension...