Sentence examples for mapping are Lipschitzian from inspiring English sources

Suppose that conditions of Theorem 4.1 hold, and the mapping are Lipschitzian continuous fuzzy mappings with Lipschitzian constant and, respectively.

A -strict pseudocontractive mapping is Lipschitzian with constant.

It is obvious that a k-strictly pseudocontractive mapping is Lipschitzian with L = k + 1 k.

It is obvious that λ-strictly pseudocontractive mapping is Lipschitzian with L = λ + 1 λ.

is called a representation of S as Lipschitzian mappings on C if for each s∈S, the mapping T s) is Lipschitzian mapping on C with Lipschitz constant k(s) and T(s t)=T s)T t) for s,t∈S.

Let be a map such is Lipschitzian for all and that.

It is well known that every nonexpansive mapping is a Lipschitzian mapping.

A mapping is called Lipschitzian if there exists such that (2.3).

(b) It is obvious that every Lipschitzian mapping is a generalized Lipschitzian mapping.

It is obvious that every Lipschitzian mapping is a generalized Lipschitzian mapping.

(2) It is obvious that every Lipschitzian mapping is a generalized Lipschitzian mapping.