Sentence examples similar to acting in this function from inspiring English sources

Let us finish this section with the existence theorem for semigroups of nonexpansive mappings acting in modular function spaces.

In 2011, Khamsi and Kozlowski [18] extended their result proving the existence of fixed points of asymptotic pointwise ρ-nonexpansive mappings acting in modular function spaces.

However, the case of ρ-nonexpansive mappings acting in modular function spaces have not been investigated prior to the current paper.

We prove that the set of all common fixed points for a continuous nonexpansive semigroup of nonlinear mappings acting in modular function spaces can be represented as an intersection of fixed points sets of two nonexpansive mappings.

The purpose of this paper is to prove that the set of all common fixed points for a continuous nonexpansive semigroup of nonlinear mappings acting in modular function spaces can be represented as an intersection of fixed point sets of two nonexpansive mappings, where nonexpansiveness is understood in the modular sense.

Let us recall the definition of an asymptotic pointwise nonexpansive mapping acting in a modular function space.

Let us recall the definition of different mappings acting in a modular function space.

Nevertheless, there is some debate as to whether such bone marrow derived endothelial cells are actually incorporated into the vasculature and whether they may be acting in a paracrine/support function [ 62].

Two models are developed, one describing diffuse PAR only as a function of solar zenith angle, and the second one as a multiple linear regression with solar zenith angle and satellite reflectivity acting linearly and aerosol optical depth acting in logarithmic functions.

Recently, the authors in [2] presented a series of fixed point results for pointwise contractions and asymptotic pointwise contractions acting in modular functions spaces.

More recently, the authors presented a fixed point result for pointwise nonexpansive and asymptotic pointwise nonexpansive acting in modular functions spaces [11].