Sentence examples for mappings and be from inspiring English sources

Let be a mapping with nonempty -convex values, and let and be mappings and be a mapping such that, for each, is a closed, pointed, and convex cone in with.

Let be with nonempty -convex values, and let and be mappings and be a mapping such that, for each, is a closed, pointed, and convex cone in with.

Let ; be single-valued mappings, and be a -Lipschtiz continuous mapping, a -strongly -accretive and -Lipschitz continuous mapping, be a -strongly accretive and -Lipschitz continuous mapping, and a -Lipschitz continuous mapping, respectively.

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).

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

Mappings and are called -compatible if whenever and.

For all the mappings and are Fréchet-differentiable at.

The mappings and are called commutative if (2.19).

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