Sentence examples for modular in function from inspiring English sources

The results suggest the EC coupling voltage sensor of skeletal muscle is modular in function and can be assembled from separate hemi-Ca2+ channel fragments.

The importance of applications of nonexpansive mappings in modular function spaces lies in the richness of structure of modular function spaces, that is, besides being Banach spaces (or F-spaces in a more general setting --are equipped with modular equivalentsetting --aremetric notionsetting --arerequippeded with almodularequivalentsnvergence and cofvergenormin submeasure.

The importance of applications of nonexpansive mappings in modular function spaces lies in the richness of structure of modular function spaces that besides being Banach spaces (or F-spaces in a more general settings) are equipped with modular equivalents of norm or metric notions, and also are equipped with almost everywhere convergence and convergence in submeasure.

The importance for applications of nonexpansive mappings in modular function spaces consists in the richness of structure of modular function spaces, that-besides being Banach spaces (or F-spaces in a more general settings -are equipped with modular equivalentsettings -aremequippedtions, and also are equipped with almodularequivalentsnvergence and cofvergenormin submeasure.

The fixed point theory in modular function spaces originated in the 1990 seminal paper by Khamsi, Kozlowski and Reich [3].

The reader interested in fixed point theory in modular function spaces is referred to [22 25].

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

Earlier studies of fixed point theory in modular function spaces can be found in [2 4], see also [5].

In recent years, there has been a great interest in the study of the fixed point property in modular function spaces after the first paper [10] was published in 1990.

The next lemma is the generalization of the minimizing sequence property for types defined by sequences in Lemma 4.3 in [1] to the one-parameter case in modular function spaces.

It is worth noting that existence of semigroups of nonexpansive mappings in modular function spaces was discussed by Khamsi [24] in the context of Musielak-Orlicz spaces and discussed applications to differential equations.