Sentence examples for be a map for from inspiring English sources

Let be a map for which there exist real numbers satisfying.

Let ((X, d)) be a complete metric space and (T: X to X) be a map for which there exist the real numbers a, b and c satisfying (0 leq a <1), (0< b, c

Set and let be a mapping for all by (3.34).

Let be a mapping for which there exists a function satisfying (2.2) such that (4.1).

Let be a mapping for which there exists a function such that (2.2). (2.3).

Let be a mapping for which there exists a function satisfying (2.2), (2.3), and (2.4).

Let be a mapping for which there exist functions such that (2.32).

Let be a mapping for which there exist functions and such that (3.2). (3.3).

Let be a mapping for which there exists a function satisfying (2.19) and (2.43) for all and all.

Let be a mapping for which there exists a function such that there exists an such that (2.26).

Let be a mapping for which there exists a function satisfying (2.27) such that there exists an such that (2.43).