Sentence examples for mappings and are from inspiring English sources

Let the mapping be such that for each, the mappings and are upper semicontinuous with nonempty compact values and.

In addition, if the mappings and are all linear, then the mapping is called a linear generalized module-   left derivation (resp., linear generalized module-   derivation).

For all the mappings and are Fréchet-differentiable at.

The mappings and are called commutative if (2.19).

Mappings and are called -compatible if whenever and.

The mappings and are said to be compatible if (2.17).

Let be a sequence of set-valued mappings and be a set-valued mapping.

Let be an -Lipschitzian semigroup of pseudocontractive mappings and be an -Lipschitzian -strongly pseudocontractive mapping.

Let be -inverse-strongly monotone mandings and be maximal monotone mappings such that (3.1).

For each, let be a topological vector space and let and be multivalued mappings and be a bifunction.

The class of nearly Lipschitzian nonself mappings is an important generalization of the class of Lipschitzian nonself mappings and was introduced by Khan [19].