Sentence examples for mappings has also from inspiring English sources
Iterative approximation of fixed points of total nonexpansive mappings has also been studied by [12 15].
On the other hand, a similar problem concerning a family of nonexpansive mappings has also been considered by many authors.
The larger class of weakly contractive mappings has also been a subject of interest (see, e.g., [10, 22 25]).
The asymptotic approach for finding common fixed points of semigroups of Lipschitzian (but not pointwise Lipschitzian) mappings has also been investigated, see, e.g., Tan and Xu [9].
On the other hand, a result of Jungck [19] on common fixed points of commuting continuous mappings has also been found quite useful.
The asymptotic approach for finding common fixed points of semigroups of Lipschitzian (but not pointwise Lipschitzian) mappings has also been investigated for some time, see, e.g., Tan and Xu [14].
But g m is not locally bounded, and hence not locally Riemann integrable, for any m ∈ N. The mappings t ↦ e − t g m ( t ) are Bochner integrable on R +. Remarks 4.1 Integrability results derived in Propositions 4.1, 4.2 and 4.3, and in Theorems 4.1 and 4.2 for right regulated mappings have also analogous counterparts for left regulated mappings.
Selection in this phenotypic space is specified by a multivariate Gaussian fitness function (with covariance matrix S), although different mappings have also been explored.
In this process of generalization, the study of common fixed points of mappings satisfying certain contractive conditions has also been at the center of rigorous research activity, see [3].
Two mappings case of the above scheme has also been considered by many authors including [20 22].
The first thing I asked: what happens if and when Apple decides to swap out the Google Maps application that ships with every iPhone, iPod Touch, and iPad in favor of something that it built in-house (Apple has confirmed that it's working on an improved traffic database, and has also quietly acquired some mapping-related startups).
