Sentence examples for mappings in modular from inspiring English sources

Recently, we proved the fixed points of asymptotic pointwise nonexpansive mappings in modular spaces [8].

Dhompongsa et al. [40] stated the Banach Contraction Principle for multivalued mappings in modular function spaces.

We prove the existence of fixed points of monotone-contraction mappings in modular function spaces.

Golkarmanesh and Saeidi [12] obtained some results for this mappings in modular spaces.

In this article, we study and prove the existence of fixed point theorems for contraction mappings in modular metric spaces.

In this paper, we investigate these kinds of mappings in modular function spaces without the 2-condition.

In this paper, we introduce the concept of Knaster-Kuratowski-Mazurkiewicz mappings (in short KKM-mappings) in modular function spaces.

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 finish this section with the existence theorem for semigroups of 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.