Sentence examples for and be a given from inspiring English sources

Let be a metric space and be a given mapping.

Let be a metric space and be a given point.

Let be a metric space, be a multi-valued mapping and be a given mapping.

here, and is a given parameter.

where is continuous and is a given function.

where is odd and is a given constant.

If and, then, where is a sequence and is a given point in.

where is a linear operator, is a nonlinear operator, and is a given continuous function.

where is a nonexpansive mapping of into itself and is a given point.

where, is the standard Riemann-Liouville differentiation, and is a given continuous function.

where is the standard Caputo's derivative of order, and is a given -valued function.