In mathematics and related technical fields, a mapping or map is a variation on the theme of a function.
Most commonly, the terms are simply synonyms for function. Along these lines, a partial mapping is a partial function, and a total mapping is a total function.
In many specific branches of mathematics, the term is used for a function with a standard property relevant to that branch, such as a continuous function in topology, a linear transformation in linear algebra, etc. In Wikipedia, we always include a relevant adjective like "continuous" or "smooth" to avoid confusion.
... François La Pérouse, (1741-1788), French explorer of the Pacific
Meriwether Lewis, (1774-1809), leader of the first American expedition to cross th ...