Sentence examples for mapping then the from inspiring English sources

(V) If, and is a univariate mapping, then the problem (1.6) reduces to the following problem.  .

If, and is a univariate mapping, then the problem (1.6) reduces to the following problem.

Let be a nonexpansive multivalued mapping, then the set of fixed points of is nonempty.

If is a nonexpansive mapping, then the sequence is an asymptotic center for.

Since is a nonself asymptotically nonexpansive mapping, then the sequences,, and are also bounded.

If in Theorem 3.9 is the identity mapping, then the following result is immediate.

If is a single nonexpansive mapping, then the strict convexity of may not be needed.

If (:the zero mapping), then the problem (1.7) is reduced to the equilibrium problem: (1.9).

(ii)if is a -strictly pseudocontractive mapping, then the mapping is demiclosed at ).

If is a contraction mapping and is a completely continuous mapping, then the equation has at least one solution in.

In fact, in Theorem 3.1 take g: C → C to be a contractive mapping, then the conclusion of Theorem 1.4 can be obtained from Theorem 3.1.