In 1978, Rassias [5] also provided a generalization of Hyers' theorem for linear mappings which allows the Cauchy difference to be unbounded like this ||x|| p + ||y|| p. Let E1 and E2 be two Banach spaces and f : E1 → E2 be a mapping such that f(tx) is continuous in t ∈ R for each fixed x.
Recently, Moudafi and Al-Shemas [12] introduced the split equality problem (SEP) of finding (x^) and (y^) with the property x^in C, y^in Q quad mbox{such that}quad Ax^=By^, (1.9) where (A:H_{1}longrightarrow H_{3}) and (B H_{2}longrightarrow H_{3}) are bounded linear mappings, which allows for asymmetric and partial relations between the variables (x^) and (y^).
Thus, we used only highly susceptible individuals in the F2 mapping population for fine-mapping, which allowed us to fine-map the Scmv1 locus into a 112.39-kb region flanked by R1-2 and STS-11.
We give some fixed point results for pseudocontractive mappings on nonbounded domains which allow us to obtain generalizations of recent fixed point theorems of Penot, Isac, and Németh.
To remedy this situation, efforts such as the Unified Medical Language System (UMLS) project, initiated by the National Library of Medicine in the US, managed to introduce mappings and concept unique identifiers (CUI), which allow relating common concepts across multiple terminologies [16].
Later, a new methodology for receptive field mappings was developed based on white noise stimuli, which allow for a complete characterization of the response properties of visual neurons if they can be assumed to be linear.
The money funded an international gene-mapping project, Project MinE, which allowed scientists to map the genome of 15,000 people who have ALS.
Using these project-specific mappings and its database of correspondences between person/Disease Register IDs, the Identifier Translation Agency returns a mapping to the Secure Research Facility which allows it to deterministically (and thus, accurately and efficiently) link the Disease Register records it has received for that research project.
We then set up the results for manual verification by placing the mappings into the i2b2 Mapper tool, which allows graphical editing and verification of merged ontologies [ 21].
