Sentence examples for mappings with and from inspiring English sources

Let with, let be continuous mappings with, and let (2.23).

Consider the mappings with ;,, and ; which fulfil the constraint (3.9).

Let be nonexpansive mappings with and let be arbitrarily chosen.

Let be continuous mappings with, and let be continuous in the first and second variables such that (2.3).

Let be a nonempty closed convex subset of complete convex metric space, and uniformly quasi-Lipschitzian mappings with and, and.

Let be a metric space, and let be selfmaps of, and for, be set-valued mappings with and.

Additionally, differentially regulated genes were mapped to Protein Information Resource (PIR) keywords [ 59] and COG [ 60] functional annotations through the use of primary mappings with HTGOFAT and subsequent mapping and clustering using the Database for Annotation, Visualization and Integrated Discovery (DAVID) [ 61].

Approximating fixed points of asymptotically nonexpansive and nonexpansive mappings with implicit and explicit iterative schemes has been studied by many authors (see, e.g., [8 14]).

All BAM files were processed to remove PCR duplicates and low-quality mappings with Picard, and then converted to pileup format using SAMtools [ 12].

Our main results provide further extensions of this result for asymptotic pointwise nonexpansive mappings and for nonexpansive multivalued mappings with convex and nonconvex values.

Let be a nonempty closed convex subset of a complete CAT 0) space and let be two nonexpansive mappings with Let and be sequences in for some From arbitrary define the sequence by the recursion (3.16).