Sentence examples for mappings we obtain from inspiring English sources

Since and are continuous closed valued mappings, we obtain and.

For some special choices of mappings we obtain theorems which generalize results from [1, 8, 15].

Using the properties of isotone mappings, we obtain some multidimensional fixed point theorems by constructing only one Cauchy sequence.

Applying set convergence theory to the graphs of the mappings, we obtain the graphical convergence of the sequence of mappings.

Building on Theorem 5.1 and dealing with a sequence of multivalued mappings, we obtain the following result.

Then, the sequences { x n } and { v n } converge strongly to P F x 0. As a result, for single valued mappings we obtain the following theorem.

Applying this approach to every (2, b) function we obtain the mappings in Figure  2e and f.

In this paper, motivated and inspired by Samet et al., we introduce the notion of generalized weakly contractive mappings in metric spaces and prove the existence and uniqueness of fixed point for such mappings, and we obtain a coupled fixed point theorem in metric spaces.

If T and S are two single-valued mappings, then we obtain the following consequence.

If is a family of nonexpansive mappings, then we obtain the following results.

For the concrete mappings F, we obtain the contractions of the type known from the literature, Banach contraction as well.