Sentence examples for mappings and in from inspiring English sources

In 2009, Yao et al. [18] considered an iterative scheme for the problem (1.2), the problem (1.4) for a Lipschitz and relaxed-cocoercive mapping and fixed point problems of nonexpansive mappings, and in 2008, Peng and Yao [1] studied an iterative scheme for the problem (1.1), the problem (1.4) for a monotone, and Lipschitz continuous mapping and fixed point problems of nonexpansive mappings.

In 1950 Aoki [3] provided a generalization of the Hyers' theorem for additive mappings and in 1978 Th.

(i It is well known that for small enough 's, both of the mappings and in Theorems 1 and 2 are contractive with constants and, respectively.

Our results generalize the result of Ceng et al. [11] in the context of the sequence of nearly nonexpansive mappings and in some other remarkable senses.

In 2012, Samet et al. [11] introduced the concept of α-admissible mappings, and in 2013, Karapınar et al. [12] improved this notion as triangular α-admissible mappings.

The following corollary extends Theorem 5.5 of Nanjaras et al. [3] to SKC mappings and, in turn, the results involving KSC and CSC mappings.

To avoid these kinds of bias, street-mapping and in-depth interviews are carried out by pairs of community and academic researchers.

So the non-degeneracy condition in symplectic mappings and that in Hamiltonian systems are different.

For a finite family of nonexpansive mappings and sequence in, the mapping is defined as follows: (1.9).

We previously found single-nucleotide polymorphisms (SNPs) at the HNF1B locus to be associated with endometrial cancer, and now report extensive fine-mapping and in silico and laboratory analyses of this locus.

We prove strong convergence theorems for countable families of asymptotically nonexpansive mappings and semigroups in Hilbert spaces.