Sentence examples for mapping having a from inspiring English sources

By Theorem 3.4, we know that a nonexpansive mapping having a fixed point satisfies the assumptions in Theorem 4.1.

Let (Pcolon J multimapmathbb{R}^{n}) be a multivalued mapping having a nonempty set of Lebesgue integrable selections.

Let be a quasiregular mapping having a point as a Picard exceptional value, that is, and attains on all values of for some.

If is strictly convex and uniformly smooth and if is a nonexpansive mapping having a nonempty fixed point set, then there exists a sunny nonexpansive retraction of onto.

If X is strictly convex and uniformly smooth and if T : C → C is a nonexpansive mapping having a nonempty fixed point set F ( T ), then the set F ( T ) is a sunny nonexpansive retraction of C. Lemma 2.6 [2.6.

Let C be a bounded closed convex subset of a Hilbert space H with (D= operatorname {diam}C =sup_{x,yin C}Vert x-yVert < infty), and let (T Cto H) be a nonexpansive mapping having a fixed point.

A nonexpansive mapping has a Lipschitz constant equal to 1.

Then every intuitionistic fuzzy nonexpansive mapping has a fixed point.

Then every contraction mapping has a unique fixed point.

Note that each mapping has a nonempty fixed point set.

(3) Every α-fuzzy Caristi mapping has a fixed point.  .