Sentence examples for exists a map from inspiring English sources

Also two mappings are called generalized -weak contractions if there exists a map with and for all such that.

Two mappings are called generalized -weak contractive if there exists a map with and for all such that (2.2). for all.

There exists a map of complexes $\beta $ making the diagram commute up to homotopy.

Assume that there exists a map such that (1.3).

Suppose that is a mapping with for which there exists a map such that (3.17).

A mapping is said to be -weak contractive if there exists a map with and for all such that.

By Theorem 1.1, there exists a mapping satisfying the following.

By Theorem 1.1, there exists a mapping such that.

Then there exists a mapping such that (2.13).

A mapping is called a pointwise contraction if there exists a mapping such that (2.1).

Suppose that there exists a mapping for which a mapping satisfies (3.13).