Generalized trend constants of Lipschitz mappings

Abstract

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 property for initially nonexpansive mappings. We generalize the above concepts and prove an analogous fixed point theorem. We also study the initial trend coefficient more deeply.

Authors and Affiliations

Mariusz Szczepanik

Keywords

Related Articles

On generalized Mersenne numbers, their interpretations and matrix generators

In this paper we introduce generalized Mersenne numbers. We shall present some of their interpretations and matrix generators which are very useful for determining identities.

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...

Note about sequences of extrema (A,2B)-edge coloured trees

In this paper we determine successive extremal trees with respect to the number of all (A,2B)-edge colourings.

The density Turan problem for 3-uniform linear hypertrees. An efficient testing algorithm

Let T = (V, E) be a 3-uniform linear hypertree. We consider a blow-up hypergraph B[T ]. We are interested in the following problem. We have to decide whether there exists a blow-up hypergraph B[T ] of the hypertree T , w...

Oscillation of third-order delay difference equations with negative damping term

The aim of this paper is to investigate the oscillatory and asymptotic behavior of solutions of a third-order delay difference equation. By using comparison theorems, we deduce oscillation of the difference equation from...

Download PDF file
  • EP ID EP532201
  • DOI 10.17951/a.2018.72.2.71
  • Views 83
  • Downloads 0

How To Cite

Mariusz Szczepanik (2018). Generalized trend constants of Lipschitz mappings. Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica, 72(2), 71-84. https://europub.co.uk/articles/-A-532201