Sentence examples for mappings it has from inspiring English sources

Concerning a family of nonexpansive mappings it has been considered by many authors.

In models with fixed genetic architectures and linear genotype-phenotype mappings it has been shown that assortative mating and sympatric speciation are necessary for the evolution of distinct phenotypic clusters.

Finding the fixed points of nonexpansive mappings is an important topic in the theory of nonexpansive mappings, and it has wide applications in a number of applied areas such as the convex feasibility problem [1 3], the split feasibility problem [4], image recovery and signal processing [5].

However, our class not only constitutes a simple generalization of (1.1) but also, as mentioned above, contains the class of quasi-nonexpansive mappings when it has a fixed point contrary to "widely more generalized hybrid" mappings (1.2).

Mann's iteration algorithm [8] is often used to find a fixed point of nonexpansive mappings, but it has only weak convergence (see [9] for an example).

Recently, Chen and Li [4] introduced the class of Banach operator pairs as a new class of noncommuting mappings and it has been further studied by Hussain [5], Khan and Akbar [16], and Pathak and Hussain [14].

Analogous coincidence theorems for fuzzy mappings and multivalued mappings have been obtained as corollaries.

The accretive mappings and monotone mappings have different natures in Banach spaces, these being more general than Hilbert spaces.

However, we observe that accretive mappings and monotone mappings have different natures in Banach spaces more general than Hilbert spaces.

Since the theory of multi-valued mappings has many applications, it became a focus of research over the years.

Aimed at structuring needs and storing information provided by directly involved teams regarding the workings of an institution (or at least part of it), the process-mapping approach has an important contribution to make in the analysis of clinical information systems.