Sentence examples for mappings in this from inspiring English sources

The above results only involve a single mapping, we will consider an infinite family of mappings in this paper.

They show that in the sense of Baire category, most mappings in this class are contractive and that every contractive mapping has a unique fixed point which uniformly attracts all the iterates of the mapping.

We also prove the uniqueness of a coupled fixed point for such mappings in this setup.

Now, we prove the demiclosedness principle for nearly asymptotically nonexpansive nonself mappings in this space.

In the next definition, we introduce the concept of pointwise contraction mappings in this setting.

As a consequence, we obtain a -convergence theorem of the Krasnosel'skii-Mann iteration for asymptotically nonexpansive mappings in this setting.

For all of these five regions that were known to be complex prior to our fine-mapping, in this study, we confirmed each of the previously reported independent associations, have refined the spectrum of variation that best describes these association signals, and we have identified a novel, third independent signal at HNF1B/Chr17q12.

It does this by ensuring that there are no conflicts between individual mappings in the final alignment.

In this study, weextend the results of Qihou [2] and Schu[5] to the classes of asymptoticallydemicontractive mappings in the intermediate sense and asymptoticallyhemicontractive mappings in the intermediate sense.

These mappings generalise Lipschitz mappings, the latter which are equivalent to first-order Lipschitz mappings studied in this paper.

Throughout the paper, (F(T)) denotes the set of fixed points of the mapping T. The contraction mappings considered in this paper are constructed via auxiliary functions defined below.