Sentence examples for mapping with respect from inspiring English sources

As F (respectively, H) is a continuous mapping with respect to G, then (T_{F}) (respectively, (T_{H})) is also continuous with respect to (q_{G}).

Let be the Lipschitz continuous mapping with respect to positive constants and respectively.

If are two set-valued mappings such that for any,, then is called a generalized mapping with respect to.

(2) is a generalized mapping with respect to.

Suppose is not a generalized mapping with respect to.

Hence, is a generalized mapping with respect to.

then is called an almost - mapping with respect to.

Since F has the mixed monotone property, T is a nondecreasing mapping with respect to ⪯2.

The continuity of a mapping with respect to a b-metric is defined as follows.

So, we conclude that T is a pseudomonotone mapping with respect to f.  .

We show that T is an α-admissible mapping with respect to η.